# Worksheet: Applications of Systems of Equations

Q1:

A stuffed animal business has a cost function of and a revenue function . First, find the break-even point. Then, calculate the corresponding revenue.

• A
• B
• C
• D

Q2:

A guitar factory has a cost of production given by . If the company needs to break even after 150 units sold, at what price should they sell each guitar? Give your answer to the nearest dollar.

• A
• B
• C
• D

Q3:

A laptop company has discovered that their cost and revenue functions for each day are and . Find the maximum and minimum number of laptops they could produce each day while still making a profit.

• Aminimum: 2 laptops, maximum: 21 laptops
• Bminimum: 1 laptop, maximum: 21 laptops
• Cafter 51 computers
• Dminimum: 2 laptops, maximum: 20 laptops

Q4:

A cell phone factory produces cellphones with cost and revenue . What is the breakeven point?

• A
• B
• C
• D
• E

Q5:

A musician charges , where is the total number of attendees at the concert. The venue charges \$80 per ticket. After how many sold tickets does the venue break even, and what is the value of the total tickets sold at that point?

• A tickets,
• B139 tickets,
• C tickets,
• D tickets,

Q6:

A fast-food restaurant has a cost of production and a revenue function . When does the company start to turn a profit?

• Awhen
• Bwhen
• Cwhen
• Dnever