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 are the components of the unit vector u in the direction of vector v = (-3, 4)?
+
What is the value of 3 raised to the power of 5, squared, minus the square root of 25?
+
What is the axis of symmetry of the parabola function 𝑦 = 4𝑥^2 - 3𝑥 + 2?
+
New questions in Mathematics
A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?
4.2x10^_6 convert to standard notation
3x+2/2x-1 + 3+x/2x-1 - 3x-2/2x-1
-27=-7u 5(u-3)
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolio’s risk level so that once the additional funds are invested the portfolio’s required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolio’s beta) to achieve the desired required rate of return?
How much does the average college student spend on food per month? A random sample of 50 college students showed a sample mean $670 with a standard deviation $80. Obtain the 95% confidence interval for the amount college students spend on food per month.
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
A tree cast a shadow of 26 meters when the angle of evaluation of the sum is 24°. Find the height of the tree to the nearest meter
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Which statement best describes the key changes in perspectives on inclusion? An inclusive program must consider the unique experiences of every child and family as well as the child's strengths and needs. There is a shift in thinking about individual programs as "inclusive programs" to thinking about inclusion as something that reflects the cultural influence of the family. There is a greater emphasis on barriers to full participation and the acknowledgement that all children are unique and must be fully and meaningfully engaged in a program. In an inclusive program all participants are accepted by their peers and other members of the community.
Write the detailed definition of a supply chain/logistics related maximization problem with 8 variables and 6 constraints. Each constraint should have at least 6 variables. Each constraint should have At least 5 variables will have a value greater than zero in the resulting solution. Variables may have decimal values. Type of equations is less than equal. Numbers and types of variables and constraints are important and strict. Model the problem and verify that is feasible, bounded and have at least 5 variables are nonzero.
What is the value of f(-3) for the function X squared+5x-8=
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
Write decimal as the fraction 81/125 simplified
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
Find the distance from the point (2,-1) to the line 2x-5y+10=0