Break-Even Points Answers

Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per month, and each centerpiece cost $8 to produce. Determine your break-even point. Suppose you wish to break even by selling only 25 centerpieces. At what price would you need to sell each centerpiece?

Solve the problem.If your cost in manufacturing a shipment of clocks consists of a setup expense of $225 plus $11 per clock, and you want your break-even point for a particular shipment to be no greater than 25 clocks, then what is the minimum price that you can charge per clock?

Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even?

Solve the problem.Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit.C = 94n + 534,000R = 168n

Solve the problem.The formula A = P + Prt represents the value, A, of an investment of P dollars at a yearly simple interest rate, r, for t years. The equation to model the value, A, of an investment of $54 at 9.26% for t years is given by A = 54 + 5t. The equation to model the value, A, of an investment of $84 at 2.38% for t years is given by A = 84 + 2t. Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer.

Several students have a really great business plan and decide to start a graphic T-shirt company. After initial expenses of $280, they will purchase each T-shirt wholesale for $3.99. They will then sell the each shirt for $10.99. How many must they sell to break even?

What is the best way to determine whether a given point is a solution to a system of equations?

Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary’s neighbor has offered to help her out. She doesn’t charge a consultation fee, but does charge $10 an hour for her work. Who do you think Mary should hire for a 3-hour job and why?

Suppose you have just enough money, in coins, to pay for a gallon of milk priced at $2.40. You have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the number of dimes. Which system models the given information? a. b. c. d. Please select the best answer from the choices provided

Solve the problem.Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit.C = 20n + 134,000R = 160n

Travis is an avid skier. He is trying to decide whether to buy ski equipment. Typically, it costs him $60 a day to rent ski equipment and buy a lift ticket. You can buy ski equipment for about $400. A lift ticket alone costs $35 for one day. Find the break-even point.

You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance? (Hint: Write a system for the situation and solve)

When dealing with business analysis, when there is a graph of two linear equations, what is the point of intersection called?

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20. How many games must you make and sell before your business breaks even?

Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary’s neighbor has offered to help her out. She doesn’t charge a consultation fee, but does charge $10 an hour for her work. Write two equations, one that describes the landscaping service charge and one that describes your neighbor’s charge. Let C equal the charge as a function of h, the number of hours worked.

Several students decide to start a T-shirt company. After initial expenses of $280, they purchase each T-shirt wholesale for $3.99. They sell each T-shirt for $10.99. How many must they sell to break even?