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 length of the median from vertex A in a triangle ABC with side lengths of 7 cm, 10 cm, and 12 cm?
+
Question: What is the modulus of the complex number (3 + 4i)?
+
What is the variance of the dataset {2, 5, 7, 9, 13, 15}?
+
New questions in Mathematics
-x+3x-2,si x=3
Pedro bought 9 kg of sugar at the price of R$1.80 per kilogram, six packets of coffee at the price of R$3.90 per packet and 8 kg of rice at the price of R$2.70 per kilogram. Knowing that he paid for the purchases with a R$100.00 bill, how much change did he receive?
One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?
5/8 x 64
58+861-87
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
(5y 9)-(y 7)
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
3%2B2
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
-1/3x+15=18
Define excel and why we use it?
x(squared) -8x=0