A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry ​, 4 lemon ​, and 12 lime ​candies, and sells for a profit of ​$4.00 . Assortment II contains 12 cherry ​, 4 lemon ​, and 4 lime ​candies, and sells for a profit of ​$3.00 . Assortment III contains 8 cherry ​, 8 lemon ​, and 8 lime ​candies, and sells for a profit of $ 5.00 . They can make 4 comma 800 cherry ​, 3 comma 800 lemon ​, and 5 comma 600 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit​ (assuming that all boxes produced can be​ sold)? What is the

Answers

Answer 1

Final answer:

The company should produce 1,200 boxes of Assortment I per week to maximize its profit.

Explanation:

In order to maximize profit, the company should produce the assortment that yields the highest profit per candy sold. Let's calculate the profit per candy for each assortment:

Assortment I: Profit per cherry candy = $4.00/4 = $1.00Assortment II: Profit per cherry candy = $3.00/12 = $0.25Assortment III: Profit per cherry candy = $5.00/8 = $0.625

From the calculations above, we can see that Assortment I has the highest profit per cherry candy. Therefore, the company should produce as many boxes of Assortment I as possible, given the available resources. To determine the number of boxes to produce, we need to calculate the maximum number of cherry candies that can be produced with the available resources:

Cherry candies produced: 4,800Lemon candies produced: 3,800Lime candies produced: 5,600

Assortment I contains 4 cherry candies per box, so the maximum number of boxes of Assortment I that can be produced is 4,800/4 = 1,200 boxes. The company should produce 1,200 boxes of Assortment I per week to maximize its profit.


Related Questions

All but two of the here amid’s built by the ancient Egyptians have faces inclined at 52° angles. Suppose an archaeologist discovers the ruins of a pyramid. Most of the pyramid has eroded, but the length of a side of the square base is 82 m. How tall was the pyramid, assuming it’s faces were inclined at 52°? Round your answer to the nearest meter.
A) 25m
B) 32m
C)52m
D) 105m

Answers

Consider the cross-sectional right triangle shown in the figure.

One of its sides is the height of the pyramid, with length H. The other side is half of the square base, so its length is 81 m. The hypotenuse of this triangle is the height of one of the faces.

By right triangle trigonometry, 

[tex]\displaystyle{ \tan52^o= \frac{H}{41 \ m } [/tex], 

thus, 

[tex]H=\tan52^o\cdot41 \ m=1.28 \cdot41 \ m=52 \ m[/tex].


Answer: C) 52 m

Which of the following sets of numbers have a LCM of 60? a. 3, 12, 8 b. 4, 10, 12 c. 10, 8, 20 d. 15, 30, 3

Answers

Answer:

Im pretty sure its b. 4, 10, 12

Step-by-step explanation:

Answer:

it is b. 4, 10, 12 SORRY FOR ANSWERING LIKE 4 YEARS LATER LOL

Step-by-step explanation:

one integer is 30 more than another integer if the difference between the larger and twice the smaller is 8 find the integers

Answers


x = larger int
y = smaller int
---
x - y = 30
x - 2y = 8
---
put the system of linear equations into standard form
---
x - y = 30
x - 2y = 8

---
solution:
x = larger int = 52
y = smaller int = 22
---

Estimate the product of m and n. Using complete sentences, explain how you got your estimate.

Answers

Hi there.

Each line on the graph is equivalent to: 1/6
SO we can see that n is graphed at: 1 1/6 and m is graphed at: 2 4/6

To estimate the product, let's convert each fraction into an improper fraction.
n = 1 1/6 = 7/6
m = 2 4/6 = 16/6 

Multiply the improper fractions. 
7/6(16/6) = 112/36 = 3 4/16 = 3 1/9 (Simplified) 

So 3 1/9 is your answer.  
Hello There!

7/6 x 16/6 = 112/36.
You simply found out the mixed number fractions, converted them into improper fractions and multiplied them together.
You can then convert it into a mixed number which would make it  3 4/16

Hope This Helps You!
Good Luck :) 

- Hannah ❤

What is the sum of 4/10 +3/100

Answers

4/10 = 40/100 (multiply 10 top and bottom)

40/100 + 3/100 = 43/100

43/100 is your answer

hope this helps

Where is the answer to the image of finding the area of the irregular shape that I emailed last night?

Answers

You can break this irregular shape into two rectangles. Then, as there is enough information to determine the side lengths of those rectangles and solve for the area of each rectangle, then you can add the two rectangle areas back together to find the total area of the shape.

See the attached image photo for the clearest guide for one way to do this. (You could also break the figure into two rectangles in at least one other way than the way I have shown.)

The first/top rectangle I created is formed from the 6 yd side of the irregular shape (which you see on the original diagram) and is also 4yd across, which you can determine because the bottom length of the irregular shape is 7 yd (subtract 11 - 7 = to find 4 as the remainder).  So the area of that rectangle can be found by multiplying the two lengths (A = base x height), and would be 24.

The second/bottom rectangle I created has a height of 4 yd, which you can determine through subtraction again, because the entire side length of the original shape is 10 yd, and the top part we already allotted to the 1st rectangle is 6. (10 - 6 = 4 yd.) The base length of the second rectangle is 11, as you can see on the original diagram - the entire length of the base of the irregular shape. To find the area of this second rectangle, we multiply the base x height (4 x 11) to get 44.

We can then add the area of the two rectangles together to find the full area of the irregular shape:

24 + 44 = 68 square yards

A kennel has 115 dogs in total some are puppies and some are adult dogs.The ratio of puppies I to adult dogs in a kennel is 2:3 How many puppies are there?

Answers

76 or 77. 2/3 times x/115. 2 times 115 is 230. 230 divided by 3 is 76.6666666667.

A red gumball is 2 5/8 inches across. A green gunballnis 2 5/6 inches across and a blue gym all is 2 7/9 inches across. List the gum balls in order from smallest to largest

Answers

Here you go: 2 5/8  <  2 7/9  <  2 5/6


Price Tax Rate Tax
$199 5%
$4,750 6%
$99.50 4.7%
$19.88 6.9%
$8.95 7.2%
$14.27 6.8%
$544.38 4.2%
$7.49 8.1%
$28.56 7.5%
$14.98 4.9%

Answers

199 *0.05 = 9.95

4750 * 0.06 = 285

99.50 * 0.047 = 4.68

19.88 * 0.069 = 1.37

8.95 * 0.072 = 0.64

14.27 * 0.068 = 0.97

544.38 * 0.042 = 22.86

7.49 * 0.081 = 0.61

28.56 * 0.075 = 2.14

14.98 * 0.049 = 0.73

5 (9/12 - 1/4) + 0.5

Answers

5 (9/12 - 1/4) + 0.5
5 (9/12 - 3/12) + 0.5
5 (6/12)  + 0.5
5(2.5)  + 0.5
12.5 + 0.5
13
First we want to simplify the fraction 9/12 so it can be 3/4
next we want to subtract 3/4 - 1/4 and we get 2/4
next we want to multiply 5 * 2/4 and we get 10/4
and lastly we want to add 5/2 + 0.5 to get our answer

Answer: 3

What does X equal?

15= x/6 - 1

Answers

x=96

first add the one to the 15 then multiply it by 6 and you get 96

Ok, you have your equation 15=x/6-1.
First, add 1 to both sides, get 16=x/6.
Then, multiply both sides by 6.
Get your answer of x=96
Hope this helps

x-2.8=9.5 What does x equal ?

Answers

X-2.8=9.5 

Add both sides by 2.8 to get the x by its self....

x = 9.5 + 2.8 

x = 12 . 3 is the answer

Evaluate the function rule for the given value. f(x) = 3x for x = –5

Answers

Final answer:

To evaluate the function f(x) = 3x for x = –5, substitute in the value to get f(–5) = –15. For the second part, none of the options perfectly match the description, but y = x² is closer as it is a quadratic function.

Explanation:

To evaluate the given function rule f(x) = 3x for x = –5, you simply substitute –5 in for x in the function. Here is the calculation:

f(–5) = 3 * (–5) = –15

Now, regarding the second part of the question, at x = 3, the function f(x) has a positive value with a positive slope that is decreasing in magnitude with increasing x. The function y = x² fits this description because it is a quadratic function where the slope (the derivative) is 2x. At x = 3, the slope is positive (2 * 3 = 6), and as x increases, the slope increases, but the rate of increase in slope (the second derivative) is constant, not decreasing. Hence, neither option a nor b perfectly fits the condition of a positive slope that is decreasing in magnitude with increasing x. However, option b, y = x², is closer to the description compared to the linear option a, y = 13x, which has a constant slope.

what is 4.333333333 as a fraction.



I need this answer right now!!

Answers

Answer is : [tex] \frac{4333333333}{1000000000} [/tex]
The correct answer is 13/3.

Aubrey can run at a pace of six miles per hour. running at the same rate how many miles can she run in ninety minutes

Answers

Aubrey would be able to run 9 miles in ninety minutes.

90 minutes=1.5 hours

6*1.5=9

Hope this helps

With the same rate, Aubrey can run 9 miles in 90 minutes and this can be determined by using the unitary method.

Given :

Aubrey can run at a pace of six miles per hour.

The following steps can be used in order to determine the total miles can Aubrey run in ninety minutes at the same rate:

Step 1 - The unitary method can be used in order to determine the total miles can Aubrey run in ninety minutes at the same rate.

Step 2 - Remember in 1 hour there are 60 minutes.

Step 3 - Remember according to the given data, Aubrey can run at a pace of six miles per hour. That means Aubrey can run six miles in 60 minutes.

Step 4 - If Aubrey can run 6 miles in 60 minutes then in 90 minutes she can run:

[tex]=\dfrac{6}{60}\times 90[/tex]

Step 5 - Simplify the above expression.

= 9 miles

So, with the same rate, Aubrey can run 9 miles in 90 minutes.

For more information, refer to the link given below:

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identify an equation in point-slope form for the line parallel to y=1/2x-7 that passes through (-3,-2)

Answers

y=1/2x-7 has slope = 1/2
parallel  has same slope = 1/2

point-slope form equation
y + 2 = 1/2(x +3)

answer
y + 2 = 1/2(x +3)
Final answer:

To find an equation in point-slope form for a line parallel to y=1/2x-7 that passes through (-3,-2), we can use the fact that parallel lines have the same slope. The equation of the parallel line is y = (1/2)x + 5/2.

Explanation:

To find an equation in point-slope form for a line parallel to y = (1/2)x - 7 that passes through the point (-3, -2), we need to use the fact that parallel lines have the same slope.

The given line has a slope of 1/2, so the parallel line will also have a slope of 1/2.

Using the point-slope form y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope, we substitute the values to get the equation y - (-2) = (1/2)(x - (-3)). Simplifying this equation gives us the final answer: y = (1/2)x + 5/2.

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You measure the width of a doorway and find that it is 0.93 m wide. Find the greatest possible error of your measurement

Answers

Answer:

0.5 m

Step-by-step explanation:

The greatest possible error is 1/2 of the unit you are measuring in.

We are measuring in meters; this means the greatest possible error is 0.5 m.

Answer:

The right answer is 0.005m

Step-by-step explanation:

The greatest possible error in a measurement is the half of the measuring unit, it is one hald of the precision unit.  

To solve it first you should recognize the measurement unit, in this case meters.  

Then, because it is 0.93, you should notice that the last decimal occupies the place of the hundredth, so the GPE might be: 0.01/2 equal to 0.005, your answer.  

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than  the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is meters and the total length of the carpet is meters.

Answers

[tex]\bf \stackrel{\stackrel{small~piece}{length}}{a}=\stackrel{\stackrel{large~piece}{length}}{b}+5\impliedby \begin{array}{llll} \textit{small piece's length}\\ \textit{ 5 longer than large piece's length} \end{array} \\\\\\ a=12\qquad \qquad 12=b+5\implies 12-5=b\implies 7=b[/tex]

so, the total length of the carpet is just a+b.

Answer:

The length of the bigger piece is 17 meters

and the total length of the carpet is 29 meters.

Step-by-step explanation:

The length of the smaller piece is 5 meters greater than  the length of the larger piece.

i.e. Length of larger piece=Length of smaller piece+5

The length of the smaller piece is 12 meters.

So, Length of larger piece=12+5

                                          =17 meters

Total Length of carpet=Length of smaller piece + Length of larger piece

                                    = 12+17

                                    = 29 meters

Hence, the length of the bigger piece is 17 meters

and the total length of the carpet is 29 meters.

1_9644=100000 rounded to the nearest hundred thousand

Answers

you can choose a number from 1-4
Final answer:

When rounding 1,964,400 to the nearest hundred thousand, the answer is 1,900,000.

Explanation:

When rounding 1,964,400 to the nearest hundred thousand, we look at the digit in the hundred thousands place. If it is 5 or greater, we round up. If it is less than 5, we round down. In this case, the digit is 4, so we round down. Therefore, 1,964,400 rounded to the nearest hundred thousand is 1,900,000.

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When solving for a system of equations, if you get an answer of 6=0, what does this solution mean regarding the solution to the system ?

Answers

it means the system is inconsistent, which is another way to way, there's no solution, namely, both graphs do not intersect ever, and therefore there's no common point with such x,y pair for both.
It means that graph is inconsistent. Most likely it is a no solution

heather has 500 dollars in her savings account she withdraws 20 dollars per week for gas write an eqaution heather can use to see how many week it will take her to have a balance of 220 dollars

Answers

500-20x=220
I think this is right

doreen needs 1/2 of the remaining 3/4 bag of flour to bake a cake. what fraction of the entire bag does she need?

Answers

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. Then  3/8 of the entire bag does she need.

What is Fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

It is given that doreen needs 1/2 of the remaining 3/4 bag of flour to bake a cake. We need to find the fraction of the entire bag does she need.

When Some fraction of another fraction means a fraction is multiplied with the another fraction.

 1/2 of the remaining 3/4

one by two times of three by four.

1/2 × 3/4

While multiplying fractions, the numerators are multiplied and the denominators are multiplied.

So 1 and 2 are multiplied on numerator and 2 and 4 are multiplied on denominator.

1×3/2×4

3/8

Hence 3/8 of the entire bag does she need.

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Joy organized a wedding.
Guests had to choose their meal from beef, chicken or vegetarian.
1/3 of the guests chose beef
5/12 of the guests chose chicken
23 of the guests chose vegetarian
How many guests were at the wedding?

Answers

23 is one fourth
so 23 times 4 is 92

Divide. Write your answer as a decimal.
−15.4÷(−2.5)=−15.4÷(−2.5)=










Divide. Write your answer as a decimal.
−15.4÷(−2.5)=−15.4÷(−2.5)=






















Answers

Sent a picture of the solution to the problem (s).

Find all the real cube roots of 1000/27


10/3
10/9
-10/9
-10/3

Answers

Can you do prime factoriztion

1000
100 * 10
10 * 10 * 10

27
9 * 3
3 * 3 * 3

cube root (1000/27) = 10/3

Answer:

10/3

Step-by-step explanation:

If x2 = 10, what is the value of x?
A. ±square root of 10
B. ±square root of 20
C. ±5
D. ±20

Answers

Answer:

C. ±5

Step-by-step explanation:

Answer:

+square root of 20

for sure i got it right on my test

Step-by-step explanation:

Write the polynomial in standard form and identify the degree and leading coefficient of the polynomial.

-x + 19x2 + 1



-x + 19x2 + 1 Degree:1; Leading Coefficient: -1


19x2 - x + 1 Degree: 19; Leading Coefficient: 1


19x2 = x + 1 Degree: 2; Leading Coefficient: 19


19x2 - x + 1 Degree: 2; Leading Coefficient: 19

Answers

Starting with -x + 19x2 + 1, rewrite this expression in standard form, which requires that you write the terms in order of descending powers of x.

19x^2 - x + 1 satisfies these requirements.

The leading term is 19.

if 152 divided by x equals 36 what would x be?

Answers

152/x = 36

x[(152/x)] = 36x

152 = 36x

152/36 = x

38/9 = x

a spool of ribbon has 18 feet on it. pieces measuring of 8 inches will be cut from the spool of ribbon. how many 8 inch segments will be cut from the spool of ribbon
show work

Answers

1 foot is 12 inches. 18 feet is 18×12=216 inches. each segment is 8 inch measurement, so 18 feet has 216÷8=27 segments. so the correct answer is 27 segments

By dividing the total length by the length of the pieces, we conclude that we can make 2 of these pieces.

How many 8 inch segments will be cut?

To get this, we need to divide the total length by the length of the desired pieces, and then round to the next (lowest) whole number.

Then we get:

N = 18ft/8ft = 2.25

Rounding to the next whole number we get 2, so we conclude that with 18t of ribbon we can make 2 pieces of 8ft each.

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Simone is in a bike a thon for a fundraiser. she recives 15 dollars. for each mile she bikes if she wants to raise 510 dollars how many miles does she need to bring ke

Answers

Simone would have to bike for at least 34 miles to reach $510
About thirty-four times because 15 x 30 equals 510 all you had to do was find the common multiples of 15
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