At a canning company the daily production cost, y, is given by the quadratic equation y = 650 – 15x + 0.45x2, where x is the number of canned items. What is the MINIMUM daily production cost?
A) $1,025.00 B) $1,186.25 C) $525.00 D) $536.25

Answers

Answer 1

The equation is a parabola so the minimum point is the vertex.

(-b/2a, y)

x = 15/0.9 = 16.67 canned itemz
y = 524.95 $

So it's C.

Answer 2

Answer:

Option C) is correct

Step-by-step explanation:

Given : y is the daily production cost at a canning company such that [tex]y=650-15x+0.45x^2[/tex] wherex is the number of canned items .

To find : Minimum daily production cost

Solution :

[tex]y=650-15x+0.45x^2[/tex]

On differentiating both sides with respect to x, we get

[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-15+0.9x[/tex]

On putting [tex]\frac{\mathrm{d} y}{\mathrm{d} x}=0[/tex] , we get [tex]-15+0.9x=0\Rightarrow 15=0.9x\Rightarrow x=\frac{15}{0.9}=\frac{150}{9}=\frac{50}{3}[/tex]

We get intervals as \left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty \right )[tex]\left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty \right )[/tex]

For [tex]x=0\epsilon \left ( -\infty ,\frac{50}{3} \right )[/tex] , [tex]f'(0)=-15< 0[/tex]

For [tex]x=16\epsilon \left ( \frac{50}{3},\infty \right )[/tex] , [tex]f'(18)=-15+0.9(18)=-15+16.2=1.2> 0[/tex]

Therefore, [tex]y=\frac{50}{3}[/tex] is a point of minima.

So, minimum cost is equal to [tex]y\left ( \frac{50}{3} \right )[/tex]

[tex]y\left ( \frac{50}{3} \right )=650-15\left ( \frac{50}{3} \right )+0.45\left ( \frac{50}{3} \right )^2=650-250+125=\$ 525[/tex]

So, option C) is correct .

Related Questions

A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?

Answers

The formula for determining the distance of the focus from the vertex is as follows,

f = x² / 4a

where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,

f = (30/2 mm)² / (4)(5 mm)

f = 11.25 mm

ANSWER: 11.25 mm

A florist is making blue and white flower arrangements. For the arrangements, he places a red ribbon on every 3rd arrangement and a blue ribbon on every 5th arrangement. Which arrangement will be the first to have a red ribbon and a blue ribbon?

Answers

the 15th arrangement will have both a blue and red ribbon

For the polynomial function yequals=f(x) below, choose the statements that most accurately describe the function.

Answers

C. Statements II, IV, and V accurately describe this function.

A theater sells children's tickets for half the adult ticket price. if 5 adult tickets and 8 children's tickets cost a total of $27, what is the cost of an adult ticket?

Answers

Final answer:

To find the cost of an adult ticket, we can set up an equation using the given information and then solve for the variable.

Explanation:

To solve this problem, let's start by defining some variables. Let the cost of an adult ticket be x dollars. Since children's tickets are sold for half the price of adult tickets, the cost of a children's ticket is (1/2)x dollars.

Given that 5 adult tickets and 8 children's tickets cost a total of $27, we can set up the following equation to represent the total cost:

5x + 8(1/2)x = 27

To solve for x, we can simplify the equation:

5x + 4x = 27

9x = 27

Dividing both sides by 9, we find that x = 3.

Therefore, the cost of an adult ticket is $3.

Does this table represent a function? Why or why not? x:2, 4, 6, 8, 10 y:1, 3, 3, 4, 6 A.No, because two of the y-value are the same. B.Yes, because all of the x-value corresponds to one or more y-values C.Yes, because every x-value corresponds to exactly one y-value. D.No, because one x-value corresponds to two different y-values

Answers

Answer:

C.Yes, because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

A function is a relation in which each element of the domain (x) is mapped to one element of the range (y). This means that no x can be mapped to more than one y; basically it means that no x can repeat.

In this table, no x repeats; each x is mapped to only 1 y. This means that it is a function.

Answer:

The correct option is C) Yes, because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

Consider the provided table:

x y

2 1

4 3

6 3

8 4

10 6

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Or we can say that, a function is a set of ordered pairs in which x element has only one y-element associated with it.

Now observe the table for each x element we have only one y element.

Therefore, the table represent a function.

The correct option is C) Yes, because every x-value corresponds to exactly one y-value.

Faith mixes 14 liters of 12% acid solution with a 30% acid solution, which results in an 18% acid solution. let x represent the number of liters of 30% acid solution used, and let y represent the number of liters of mixture. which system of equations can be used to find the number of liters of 30% acid solution in the mixture?

Answers

.14(12)+.30x=.18y where "y" = .14*x Solution as follows: 1.68+.30x=2.52+.18x then .30x-.18x=2.52-1.68 then .12x=.84 therefore x=7

David learned 15 definitions in 90 minutes. How much time will he take to learn 10 definitions?

Answers

Divide 90 by 15 to find out how many minutes it takes him to learn one definition.

90/15

=6

It takes David 6 minutes to learn one definition.

Next multiply 6 by 10 to find out how long it'll take him to learn 10 definitions

6x10

=60

It'll take David 60 minutes to learn 10 definitions.

I hope this helps!

Hey Anthony!

15........>90 minutes
10.........x minutes

Cross multiply
15x = 90*10
15x = 900
x = 900/15
x = 60

So, David will take 60 minutes to learn 10 definitions.

Best of luck!

Graph the function. Upload a handwritten copy of your graph as your final answer.

y={ x for x<0
-x^2 for x≥0

Answers

the function is divided in 2 parts:

For x<0, the function is [tex]y=x[/tex], which is a linear function, and its graph is a line.

For x≥0, the function is [tex]y=-x^2[/tex], which is a quadratic function, and its graph is a parabola.

Note that y=x is the line containing the points (0, 0), (1, 1), (5, 5) etc, that is, it is the line passing through the origin, with an inclination of 45° with the positive x-axis.

The parabola [tex]y=-x^2[/tex] is the parabola [tex]y=x^2[/tex] reflected with respect to the x-axis. It contains points like (0, 0), (-1, 1), (2, -4) etc...

The 2 graphs, with domain all real numbers, are shown in the first picture.

The second picture is the graph of the function described in our problem. We use the first picture, but restrict the domains.

That is, we delete the part of the line corresponding to x≥0, and the part of the parabola corresponding to x<0.

When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickels?

Answers

Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.

two segments are ______ coplanar
A.) always
B.) sometimes
C.) never

Answers

A because coplanar means in the same plane.

Two segments are always coplanar. The correct option is A.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

An adjacent line to another line in the same plane. Any two intersecting lines must be coplanar, that is, they must be on the same plane. Two line segments are always in the same plane.

Straight lines that are parallel and do not intersect at any point are called parallel lines. In the same three-dimensional space, parallel planes are any planes that never cross.

Therefore, the segments are always coplanar. The correct option is A.

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What is the rate of change of the perimeter of the square at the instant the area is 49 m2?

Answers

Let x = the length of a side of the square (m).
The area is
A = x²
The perimeter is
P = 4x

The rate of change of P with respect to x is
P'(x) = 4 (independent of x)

When A = 49 m², then x = 7 m.
The rate of P is 4.

Answer: 4

The number of bacteria in a culture is increasing according to the law of exponential growth. after 2 hours, there are 50 bacteria, and after 4 hours, there are 200 bacteria. how many bacteria will there be after 7 hours?

Answers

There will be 3,500 bacteria after 7 hours.

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.6, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.4.

a. What is the mean (±0.1) of the average number of moths x¯¯¯ (x bar) in 30 traps?
I got 18 by multiplying 30 times 0.6, I'm not confident 100% in this

b. And the standard deviation? (±0.001)
I got 0.073 by doing 0.4/ sqrt of 30...not confident

c. Use the central limit theorem to find the probability (±0.01) that the average number of moths in 30 traps is greater than 0.7:
I got 1.37 by doing 0.7-0.6 / 0.073 (0.4/sqrt of 30)

are these answers correct?

Answers

Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.

Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

[tex]standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073[/tex]

Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

[tex]P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\ \\ =1-P\left(z\ \textless \ \frac{x-\mu}{\sigma/\sqrt{n}} \right)[/tex]

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 given by:

[tex]P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\ \\ =1-0.91455=\bold{0.0855}[/tex]

Final answer:

The student's calculations for mean and standard deviation are correct, although the standard deviation was slightly misunderstood. The calculation for the z-score was correct, but the student failed to convert this z-score into a probability.

Explanation:

The question discusses certain calculations about the distribution of gypsy moths in traps placed by a state agriculture department. Your calculation for (a), the

mean

number of moths in 30 traps, is correct. We multiply the mean number of moths in one trap (0.6) by the number of traps (30) to obtain 18. However, for (b), the

standard deviation

of the distribution is incorrectly calculated. In fact, as we apply the formula for standard deviation of sample means σ/√n, where σ is the population standard deviation (0.4) and n is the sample size (30), it comes out to be 0.073 (rounded to ±0.001). Lastly, for (c), using the given values in the

central limit theorem

, the z-score calculator gives us a value of 1.37, but remember, this is a z-score, not a probability. To convert the z-score to a probability, you need to consult a standard normal distribution table or use a calculator with a built-in z-score to probability converter.

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2/3b + 5 = 20 - b

Solve for b

Answers

okay, so with these equations, you collect 'like terms.' like terms are basically grouping things that are the same together, so for example a+a-b+2b would be 2a+b.
with this equation you want to do the same.
2/3b + 5 = 20 - b
first, make all the numbers integers (whole numbers). we want to make 2/3b a whole number, so we multiply the whole equation by 3 to keep everything in proportion with each other, thus ending up with
2b + 15 = 60 - 3b
now we collect 'like terms.'
add 3b to both sides gives
5b + 15 = 60
subtract 15 from both sides
5b = 45
divide by 5 to leave the value of b
b = 9

The solution value of b in the equation 2/3b + 5 = 20 - b is: b = 9.

Here, we have,

given that,

the equation is:

2/3b + 5 = 20 - b

so with these equations, you collect 'like terms.'

like terms are basically grouping things that are the same together,

so for example a+a-b+2b would be 2a+b.

with this equation you want to do the same.

2/3b + 5 = 20 - b

first, make all the numbers integers (whole numbers).

we want to make 2/3b a whole number,

so we multiply the whole equation by 3 to keep everything in proportion with each other,

thus ending up with

2b + 15 = 60 - 3b

now we collect 'like terms.'

add 3b to both sides gives

5b + 15 = 60

subtract 15 from both sides

5b = 45

divide by 5 to leave the value of b

b = 9

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An investment is currently worth 2.125×104 dollars . Ten years ago, the investment was worth 1.25×103 dollars. How many times greater is the value of the investment today than the value of the investment ten years ago? A 0.17 B 1.7 C 17 D 170

Answers

Answer: C. 17

Step-by-step explanation:

Given : An investment is currently worth [tex]2.125\times10^4[/tex] dollars . Ten years ago, the investment was worth [tex]1.25\times10^3[/tex] dollars.

Then, the number of times the value of the investment today is greater than the value of the investment ten years ago is given by :-

[tex]\dfrac{\text{Current investment}}{\text{\text{Yen years ago investment}}}\\\\=\dfrac{2.125\times10^4}{1.25\times10^3}\\\\=\dfrac{2.125}{1.25}\times10^{4-3}\ \ [\because a^m\times a^n=a^{m+n}]\\\\=1.7\times10=17[/tex]

Hence, the value of the investment today is 17 times greater than the value of the investment ten years ago .

Which numbers are a distance of 2 units from 8 on a number line?

Select each correct answer.

8

6

10

−2

−6

−8

Answers

6 and 10 are 2 units away from a positive 8 on the number line

Answer

6 and 10

Step by step explanation

a distance of 2 units from 8 on a number line

we need to find out the numbers that are 2 units from 8 on the number line

To find out the numbers we need to subtract and add 2 from 8

[tex]8+2=10[/tex]

[tex]8-2=6[/tex]

10 is 2 units from 8 on the right side

6 is 2 units from 8 on the left side

So, 6 and 10 are 2 units away from 8 on the number line.

If y varies directly as x, and the constant of variation is -3, which equation represents this relationship?

Answers

Final answer:

The equation representing a direct variation where y varies directly as x with a constant of variation of -3 is y = -3x. It is a linear equation without a y-intercept.

Explanation:

If y varies directly as x, and the constant of variation is -3, the equation that represents this relationship can be written as y = kx, where k is the constant of variation. Since the constant of variation is given as -3, the equation becomes y = -3x. This is a linear equation similar to the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, since the constant of variation is -3, the slope of the line is -3 and the y-intercept is 0 because there is no addition or subtraction of a constant in the equation.

To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4

Answers

Multiply by .4 (the third one)

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

X/0.4= 10

We need to find the value of x .

For this, we will multiply by 0.4 on both sides, we get that

X= 0.4 × 10

X = 4

Hence, third option is correct.

Find the solution(s) to x2 – 14x + 49 = 0

Answers

Answer:

x=7

Step-by-step explanation:

[tex]x^2 - 14x + 49 = 0[/tex]

Factor the left hand side of the equation

product is 49 and sum is -14

-7 times -7 is 49

-7 plus -7 is -14

so two factors are -7 and -7

[tex]x^2 - 14x + 49 = 0[/tex]

[tex](x-7)(x-7)= 0[/tex]

Now we apply zero factor property

SEt each factor =0 and solve for x

x-7 =0 , x=7

The correct solution for the equation [tex]x^{2}- 14x+49 = 0[/tex] is [tex]x = 7[/tex].

Given equation,

[tex]x^{2}- 14x+49 = 0[/tex]

The equation is a quadratic equation. A polynomial equation of second degree is known as quadratic equation.

The standard form of a quadratic equation is:

[tex]ax^{2} + bx + c = 0[/tex]

Find the solution of given equation for x, Use the standard formula:

x = (-b ± √(b² - 4ac)) / (2a)

From the question,

a = 1, b =-4 , c = 49.

Put the value of a, b ,c in the formula to find x.

x = (-(-14) ± √((-14)² - 4(1)(49))) / 2(1)

= (14 ± √(196 - 196)) / 2

= (14 ± √(0)) / 2

= [tex]\dfrac{14}{2}[/tex]

= 7

The value of the discriminant [tex]\sqrt{b^{2} - 4ac }[/tex] is 0. this indicates that their will be only one value of x.

The equation [tex]x^{2}- 14x+49 = 0[/tex] has a single solution which is x =7.

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1. Write numbers from standard form to Scientific notation for the following: The diameter of human DNA is about 0.000000002
2. Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.

Answers

Okay, so in order to find scientific notation you're going to either move the decimal place to the left or right in order to make your answer a number between 1 and 9. In this case you're going to need to move it right, because you need to make it bigger in order to make it a number between 1 and 9. You'll have to move the decimal 9 places to the right, which will give you the number 2. Since you are making the number bigger, your exponent will be negative. That happens anytime you move the decimal place to the right. To the left, your exponent will be positive. Therefore the answer to 1 is:
2.00X10^-9

As for number two, you must first start by using the area formula of a triangle. That equation would be
A= 1/2bh or A=bh/2 (b=base and h=height)
By plugging that in you get an area of 83,200 miles. As mentioned before, when finding scientific notation, you want a number between 1 and 9. To do so, we have to make this number smaller by moving the decimal 4 places to the left (making the exponent positive) and resulting in an answer of:
8.32X10^4 miles

Which table shows the same rate of change of y with respect to x as y =4-5/8x? How would I even figure this out?

Table A
Table B
Table C
Table D

Answers

To figure this out you have to plug in values
c
4-5/8(-4)=6.5
4-5/8(2)=2.75
4-5/8(4)=1.5
4-5/8(8)=-1

Answer:

Table B

Step-by-step explanation:

from the given equation

[tex]y=4-\dfrac{5}{8}x[/tex]

now to figure out the table which is correct we will insert values of x one by one in the given equation and will find the value of y.

Table A [tex]y=4-\dfrac{5}{8}(-3)[/tex]

[tex]y=4+\dfrac{15}{8}[/tex]

Table B [tex]y=4-\dfrac{5}{8}(-4)[/tex]

[tex]y=4+2.5[/tex] = 6.5

Table C [tex]y=4-\dfrac{5}{8}(-4)[/tex]

[tex]y=4+2.5[/tex] = 6.5

Table D [tex]y=4-\dfrac{5}{8}(-3)[/tex]

[tex]y=4+\dfrac{15}{8}[/tex]

hence the correct answer is Table B

NEED HELP PLEASE ANSWER ASAP. Two points have the same Y-coordinates but different X-coordinates. Make a prediction about the slope of a line drawn through the points. Justify your prediction.

Answers

it is a line parallel to the x axis. No matter what the value of x is, y stays the same.

The slope of a line drawn through the points are zero.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points have the same Y-coordinates but different X-coordinates.

Now,

Since, Two points have the same Y-coordinates but different X-coordinates.

Hence, Take two points as;

(x, y) = (3, 4) , (5, 4)

Thus, The slope of line passing through the points (3, 4) and (5, 4) is,

⇒ m = (4 - 4) / (5 - 3)

⇒ m = 0

Thus, The slope of a line drawn through the points are zero.

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John bought 15 cookies and ate 3 of them. What percentage did he eat?

Answers

20% is the answer
Hope this helps

He ate 5% of them the cookies.

27 is 3 times as many as what number?

A. 9 B. 81 C. 7 D. 24

Answers

27 is 3 times of 9

27/3 = 9

hope this helps

this is because 9 x 3 = 27

A. 9
Hope this helps :)

How do you solve for m using the equation 5.01cm^3=m/1.2cm^3

Answers

Final answer:

To solve for 'm' in the equation 5.01cm^3 = m/1.2cm^3, multiply both sides of the equation by 1.2cm^3. This yields the solution m approx = 6.012cm^6.

Explanation:

To solve the equation 5.01cm^3 = m/1.2cm^3 for m, you should first isolate m by multiplying both sides of the equation by 1.2cm^3. So, it becomes 5.01cm^3 * 1.2cm^3 = m. By conducting this multiplication, you get approximately 6.012 cm^6 = m. So, the solution to the equation is m approx = 6.012cm^6

To solve for m in the equation 5.01 cm3 = m / 1.2 cm3, we need to isolate the variable m. To do this, we can multiply both sides of the equation by 1.2 cm3. This cancels out the units of cm3 on the right side, leaving us with 5.01 cm3 * 1.2 cm3 = m.

Next, we can perform the multiplication to find the value of m. 5.01 cm3 * 1.2 cm3 = 6.012 cm3. Therefore, m = 6.012 cm3.

So, the solution to the equation is m = 6.012 cm3.

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Don't give me the answer, just explain how I can solve it, please:
SOLVE: 13 - 3x = 4 (x - 2)

Answers

13 - 3x = 4 (x - 2)

distribute 4 through the parenthesis

13 - 3x = 4x - 8

move variables to the left side and change its sighn

13 - 3x - 4x = - 8

move constant to the right side and change its sign

-3x - 4x = - 8 - 13

collect like terms

-7x = - 8 - 13

-3x - 4x = - 8 - 13

calculate the sum or difference

-7x = - 21

divide both sides of the equation by - 7

x = 3

Answer:

that is the explanation elect me for brainiest pls.

Step-by-step explanation:

I hope this helps(:

Worth a brainliest if the answer is correct.

If the rule (x,y) → (x+3, y-3) is applied to the original triangle, give the coordinates of and draw the image. Show your work for calculating the coordinates of the resulting image.

Answers

you need to translate the angles using this function (x,y) to (x+3,y-3)
first of all find A and B and C
A=(0,3),B=(-1,1),C=(2,1)
After the translation
A'=(3,0),B'=(2,-2),C'=(5,-2)

Angle∠efg and angle∠gfh are a linear pair, mangle∠efgequals=55nplus+2020, and mangle∠gfhequals=33nplus+1616. what are mangle∠efg and mangle∠gfh?

Answers

Answer:

its A on edge

Step-by-step explanation:

Solve the inequality and express your answer in interval notation. x^2+8x+3<0

Answers

x² + 8x + 3 < 0

use the quadratic formula;

x = -8 + 2√13 / 2, -8 - 2√13 / 2

-4 - √13 < x < -4 + √13 (this is what they're asking as in interval notation)

hope this helps, God bless!

Answer:

-4 - √13 < x < -4 + √13

Step-by-step explanation:

Find the net force f acting on the particle.

express your answer in terms of m and
a.

Answers

your equation is f=m*a

If the mass is represented as m and acceleration as the net force f acting on the particle will be f =ma.

What is force?

Force is defined as the product of mass and change in velocity.The objects interactions with one another are what cause push and pull. Force may also be expressed using words like stretch and squeeze.

The force is in mathematical form is,

Force = mass × acceleration

If m is the mass in kilogram and a is the acceleration in m/s² is,

F = m × a

F = (1 kg) × (1 m/s²)

F = 1 kg.m/s²

As we know, 1 kg.m/s² = 1 N

F = 1 N

The measures mentioned above are taken into account by the Newton unit (N). As a result, one newton is defined as the force needed to accelerate 1 kilogram of mass 1 meter per second squared in a certain direction. 1N = 1kg (m/s²) is the way to express force.

Thus, if the mass is represented as m, acceleration as the net force f acting on the particle will be f =ma.

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At a canning company the daily production cost, y, is given by the quadratic equation y = 650 – 15x + 0.45x2, where x is the number of canned items. What is the MINIMUM daily production cost? A) $1,025.00 B) $1,186.25 C) $525.00 D) $536.25

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At a canning company the daily production cost, y, is given by the quadratic equation y = 650 – 15x + 0.45x2, where x is the number of canned items. What is the MINIMUM daily production cost?
A) $1,025.00 B) $1,186.25 C) $525.00 D) $536.25