Worksheet: Using Systems of Equations to Investigate Profits
In this worksheet, we will practice using systems of equations to investigate the profits of a manufacturer.
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 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,
A cell phone factory produces cellphones with cost and revenue . What is the breakeven point?
A fast-food restaurant has a cost of production and a revenue function . When does the company start to turn a profit?
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.
Hint: Your answers should be integers.
- Aminimum: 2 laptops, maximum: 21 laptops
- Bminimum: 1 laptop, maximum: 21 laptops
- Cafter 51 computers
- Dminimum: 2 laptops, maximum: 20 laptops