Question

University Pizza delivers pizzas to the residential colleges and flats near a major university. The company’s annual fixed costs are $40,000. The sales price of a pizza is $10 and it costs the company $5 to make and deliver each pizza. Required; a) Using the contribution approach, calculate the company’s break-even point in units (pizzas). b) Calculate the break-even point in sales dollars. c) How many pizzas must the company sell to earn a target profit of $65,000?

129

likes
643 views

Answer to a math question University Pizza delivers pizzas to the residential colleges and flats near a major university. The company’s annual fixed costs are $40,000. The sales price of a pizza is $10 and it costs the company $5 to make and deliver each pizza. Required; a) Using the contribution approach, calculate the company’s break-even point in units (pizzas). b) Calculate the break-even point in sales dollars. c) How many pizzas must the company sell to earn a target profit of $65,000?

Expert avatar
Birdie
4.5
103 Answers
a)

\text{Break-even point in units} = \frac{\text{Fixed Costs}}{\text{Sales Price per Unit} - \text{Variable Cost per Unit}}

\text{Fixed Costs} = \$40,000

\text{Sales Price per Unit} = \$10

\text{Variable Cost per Unit} = \$5

\text{Break-even point in units} = \frac{\$40,000}{\$10 - \$5}

\text{Break-even point in units} = \frac{\$40,000}{\$5}

\text{Break-even point in units} = 8,000 \text{ pizzas}

b)

\text{Break-even point in sales dollars} = \text{Break-even point in units} \times \text{Sales Price per Unit}

\text{Break-even point in sales dollars} = 8,000 \text{ pizzas} \times \$10 \text{ per pizza}

\text{Break-even point in sales dollars} = \$80,000

c)

\text{Total Sales Needed} = \frac{\text{Fixed Costs} + \text{Target Profit}}{\text{Sales Price per Unit} - \text{Variable Cost per Unit}}

\text{Fixed Costs} = \$40,000

\text{Target Profit} = \$65,000

\text{Sales Price per Unit} = \$10

\text{Variable Cost per Unit} = \$5

\text{Total Sales Needed} = \frac{\$40,000 + \$65,000}{\$10 - \$5}

\text{Total Sales Needed} = \frac{\$105,000}{\$5}

\text{Total Sales Needed} = 21,000 \text{ pizzas}

Answers:
a) 8,000 \text{ pizzas}
b) \$80,000
c) 21,000 \text{ pizzas}

Frequently asked questions (FAQs)
What is the simplified form of √(3^2) + √(8^2) - √(4^2)?
+
What is the sine of an angle in a right triangle with an adjacent side of length 5 and a hypotenuse of length 13?
+
Math question: Find the value of x if log(base 4)(2x) + log(base 4)(8) = log(base 4)(32).
+
New questions in Mathematics
Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) &lt;2u- 5v,3w&gt;
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.
Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.
Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.
58+861-87
is the x element (180,270), if tanx-3cotx=2, sinx ?
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
Log5 625
7=-4/3y -1
P(Z<z)=0.1003
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
2.3 X 0.8
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
(3.1x10^3g^2)/(4.56x10^2g)