Final answer:
The minimum cost combination of film production employees is 12 technical crew members and 24 support staff members, with a minimum feasible cost of $420,000.
Explanation:
To determine the combination of employees that will minimize the cost, let's set up variables for technical crew members (T) and support staff members (S).
The pay scales are $15,000 for each technical crew member (T) and $10,000 for each support staff member (S).
The objective is to minimize the cost C, where C = 15,000T + 10,000S.
From the constraints provided:
There must be a minimum of 20 employees: T + S ≥ 20.The maximum number of people that can be employed is 50: T + S ≤ 50.There must be at least 12 technical crew members: T ≥ 12.There must be at least half as many crew members as support staff: T ≥ 0.5S.To minimize the cost while satisfying all constraints, we should aim to hire as few technical crew members as possible, given they are more expensive.
If T = 12 (the minimum), we can solve for S using T ≥ 0.5S, which gives us S ≥ 24.
However, S must be even due to the constraint T ≥ 0.5S and hence we can set S = 24 as a candidate solution, resulting in the minimum number of employees (12 + 24 = 36).
We also need to ensure that S ≤ 2T to satisfy the condition T ≥ 0.5S; with T = 12, the maximum S can be is 24.
The minimum feasible cost is determined by plugging T = 12 and S = 24 into the cost equation:
C = 15,000(12) + 10,000(24) = 180,000 + 240,000 = $420,000.
Dr. Sandoval, a farm veterinarian, just weighed a particular pig and found out it is 96 kilograms. The last time she checked, the pig weighed 100 kilograms. What percent lighter is the pig now?
What is the equation for the relationship
Find the multiplicative inverse, or reciprocal, of . 5 over 9
Final answer:
The multiplicative inverse or reciprocal of the fraction 5/9 is 9/5, which is the result of flipping the numerator and denominator.
Explanation:
The multiplicative inverse, or reciprocal, of a fraction is another fraction in which the numerator and denominator are flipped. For the fraction 5 over 9, the multiplicative inverse is found simply by reversing the numerator and the denominator, turning it into 9 over 5.
To illustrate this with an example, let's consider the fraction ½. The reciprocal of ½ is 2, as their product equals 1 (1/2 x 2 = 1). Similarly, the reciprocal of 5/9 will be such that (5/9) x (9/5) = 1.
Hence, the reciprocal of 5/9 is 9/5.
Want 25 points and brainliest?Answer these 5 tough or easy math questions.Warning they're extremely annoying.
1.Solve: (h/4) + 9 = 6 h = _____
2.Solve: (m/-3) + -2 = 11 m = _____
3.Solve: (r/-5) - -6 = 10 r = _____
4.Solve: (z/-4) + -5 = -12 z = _____
5. Solve: (t/-8) - -4 = -6 t = _____
The average human body temperature is 98.6 far Fahrenheit.Write 98.6 as a mixed number in simplest form.
Simplify. 4 + 3(10 - 23) A) 8 B) 10 C) 11 D) 12
WILL GIVE BRAINLIEST!
Find the slope of the line shown below.
A) -2
B) 2
C) -1/2
D) 1/2
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
15 out of 20 students own hand-help games;105 out of 160 own hand-held games
Pine Bluff Middle School is having its annual Spring Fling dance, which will cost $400. The student treasurer reported that the dance fund has $ 75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.
The coordinates of quadrilateral EFGH are E(4, 8), F(1, 2), G(6, 1), and H(8, 8). The image of EFGH under dilation is E'F'G'H'.
If the coordinates of vertex E' are (1, 2), what are the coordinates of vertex H'?
No pic is attached
A) (2, 8)
B) (5, 6)
C) (2, 2)
D) (4, 8)
E goes from (4,8) to (1,2) which equals a 1/4 scale factor ( put lower number over higher number so X = 1/4 and Y = 2/8 which reduces to 1/4)
so H needs to be reduced by 1/4
8/4 = 2
so new coordinate is (2,2)
Answer is C
For the bake sal, Sandra baked 4 trays of cookies, with 12 cookies on each tray. Teo baked 6 pans of brownies and divided each pan into 8 piece. How many items will Sandra and Teo have for sale in total? Write a mathematical question (order of operations), hen solve your expression to find the answer.
Plz help, u will be awarded 20 points if u help.
Sandra and Teo will have a total of 96 items for the bake sale. We find this by first multiplying the number of trays Sandra baked by the number of cookies per tray, then multiplying the number of Teo's brownie pans by the pieces per pan, and finally adding our two results together.
Explanation:The subject of the question is Mathematics, specifically it is an arithmetic problem involving multiplication and addition. It is a middle school grade level question.
To solve it, we need to multiply the number of trays Sandra baked by the number of cookies on each tray. So, 4 (trays) * 12 (cookies) = 48 cookies.
Next, multiply the number of brownie pans Teo baked by the number of pieces each pan was divided into. That is, 6 (pans) * 8 (pieces) = 48 brownies.
Finally, to find the total number of items for the bake sale, we simply add our two results: 48 (cookies) + 48 (brownies) = 96 items.
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Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction? 0.3¯
The repeating decimal as a fraction can be represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]
A repeating decimal is known to be a continuous decimal expressing a number with an indefinite reoccurring part after the decimal point that is not zero.
From Farrah's math grade average score of 93.3%;
the repeating decimal in bold form is 93 + 0.3[tex]\mathbf{= \dfrac{3}{9}} \\ \\ = \mathbf{\dfrac{1}{3}}[/tex]
Check:
[tex]\mathbf{\dfrac{1}{3}}}[/tex] in decimal results into a repeating decimal 0.33333333
Therefore, we can conclude that repeating decimal as a fraction is represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]
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Is this situation possible? <WXY and <WXZ are supplementary, and <YXZ is a right angle.
a student teacher rectangular desk is 30 inches long and 18 inches wide the teachers desk is similar to the student desk and has a length of 50 inches what is the width of the teachers desk ?
which algebraic expresion is a polynomial with a degree of 2
Write the number in scientific notation: 60,000
To write a number in scientific notation, first, write a decimal point in the number so that there's only one digit to the left of the decimal point.
Next, count the number of places the decimal point would need to move to get back to the original number.
The number of spaces to get back to the original number is the exponent.
A Number sentence that shows two expressions with the same value is a?
The term given to a number sentence with expresses the equality between two expressions is called an equation.
Word problems are usually solved Mathematically by converting problems in a given scenario into a number sentence. When a number sentence is written such that the expression on the right and left hand side are seperated by an equality sign, then the expression is reffered to as an equation. For instance ; 2a + 8 = 15 is an equation.Therefore, two expressions seperated by an equality sign is called an equation.
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arrange the following polynomial into descending order and identify the 3rd term -19x^2+2+4x^3-7x
a. -19x^2
b.2
c.4x^3
d.-7x
Explain how you can use a straight edge and a compass to construct an angle that is both congruent and adjacent to a given angle
8.5+4(1-2.5k)=24.5 round to the nearest hundredth
Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.4 liters. Then, he wants to fill the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water.
What is the volume of the tank?
Andrei has exactly 20 liters of water. How many marbles does he need so the tank is full?
The volume of Andrei's tank is 53 liters. To fill the tank with 20 liters of water, Andrei needs 82 marbles, as marbles and water together must reach the tank's total volume.
Explanation:To find the volume of the glass tank that Andrei has, we need to calculate the total volume of marbles and water that fills the tank. Since each marble has a volume of 0.4 liters and he uses 50 marbles, the total volume of the marbles is:
0.4 liters/marble × 50 marbles = 20 litersWith 33 liters of water needed to fill the tank after the marbles are added, the total volume of the tank is:
20 liters (marbles) + 33 liters (water) = 53 litersTo determine how many marbles Andrei can add if he has exactly 20 liters of water, we set up the equation with the unknown number of marbles (represented by 'x'):
0.4 liters/marble × x marbles + 20 liters (water) = 53 liters (total volume)From the equation, we solve for x:
0.4x + 20 = 530.4x = 33x = 33 / 0.4x = 82.5 marblesSince Andrei cannot use a fraction of a marble, he'll need to use 82 marbles to fill the tank with 20 liters of water.
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2/3 + 1/4 + 4/8= Please help do next day. 50 points
2/3 + 1/4 + 4/8 =
find least common denominator and rewrite the fractions
lets use 24: 24/3 = 8, 24/4 = 6, 24/8 = 3
so 2/3 = 16/24
1/4 = 6/24
4/8 = 12/24
now add them together:
16/24 + 6/24 + 12/24 = 34/24 which becomes 1 and 10/24 reducing to 1 and 5/12
The perimeter of a regular quadrilateral is 12 inches. What is its area?
plz help !!!
The required area of the regular quadrilateral is 9 square inches.
Given that,
The perimeter of a regular quadrilateral is 12 inches. What is its area is to be determined.
A quadrilateral is a four-sided shape, regular or nonregular.
Examples:- square, rectangle parallelogram etc.
Here,
A regular quadrilateral is a square.
the perimeter of the rectangle = 4 × side
12 = 4 × side
side = 12 / 4
Side = 3 inch
Area of the square = side²
Area of the square = 3²
Area of the square = 9 square inches
Thus, the required area of the regular quadrilateral is 9 square inches.
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Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows on the ground floor, each with the same number of seats. Write an inequality to find the number of people that can sit in a ground floor row if the balcony is full. Identify what your variable represents.
What is 5 5/8 + 6 1/4
Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?
Help! Eugene wants to buy jeans at a store that is offering a $10 discount on every item.the tag on the jeans is marked 50% off.the original price is $49.98.find the final cost if the 50% percent discount is applied before the $10 discount. B .find the final cost if the $10 discount is applied before the 50% discount
3x+2y=11 , x+3y=11 substitute
Order the numbers from least to greatest 7.8 7.88 7.78 7.87 7.77
The ratio of number of cars to the number of vans is 5:1. The ratio of number of vans to number of motorcycle in the same car park is 3:2 if there are 30 cars in the park how many motorcycle are there