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 sum of the first 20 terms of an arithmetic sequence with a common difference of 4, starting from 2?
+
What is 42% expressed as a decimal?
+
What is the sum of vectors A (magnitude 3, direction 30°) and B (magnitude 5, direction -45°)?
+
New questions in Mathematics
Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.
3(4×-1)-2(×+3)=7(×-1)+2
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
4X^2 25
Divide 22 by 5 solve it by array and an area model
A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)
Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …
calculate the area in square units of A rectangle with length 6cm and breadth 5cm
6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.
Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.
1. A pediatric client is prescribed digoxin for congestive heart failure. The dose prescribed is 40 mcg/kg twice daily. The child weighs 33 pounds. What is the dosage in mg to be given per dose? Round to the nearest hundredth. Calculate your answer in mg per dose. Enter numerical value only.____mg
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
cube root of 56
5x+13+7x-10=99
What is the value of f(-3) for the function X squared+5x-8=
In an economy with C= 10+0.8 Yd ; I= 20+0.1Y ; G= 100 ; X= 20 ; M=10+0.2Y ; T=-10+0.2Y and R= 10, when knew that Yd= Y-T+R. How much is the budget? A. -23.18 B. -28.13 C. -13.28 D. -32.18
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
2.3 X 0.8
Identify the slope and y intercept y=11+2/3x
97,210 ➗ 82 division