Break-Even Points Answers

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? When, if at all, would it be more economical to hire the other service. (Set up and solve a system of equations to answer this question.)

Mike has $22 in his bank account and deposits $11.50 each week. At the same time, Tim has $218 in his account but is withdrawing $13 each week.When will the accounts have the same balance? How much money will each of them have after 12 weeks?

There is a specialty store that you like to go to when you are craving jelly beans. The price is reasonable at $1.30 per pound. The store is a bit of a distance away and you could purchase the same jelly beans at your neighborhood supermarket, but the cost is a little more at $2.10 per pound. You spend about $3 on gas every time you go to the specialty store. How do you know if you are getting enough of the jelly beans to make the trip worthwhile? What two equations would you use to determine your break-even point? (Let C stand for the total cost and x represent the amount of jelly beans.) 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 = 15n + 269,000R = 95n

At the local ballpark, the team charges $5 for each ticket and expects to make $1,400 in concessions. The team must pay its players $2,000 and pay all other workers $1,600. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?

There is a specialty store that you like to go to when you are craving jelly beans. The price is reasonable at $1.30 per pound. The store is a bit of a distance away and you could purchase the same jelly beans at your neighborhood supermarket, but the cost is a little more at $2.10 per pound. You spend about $3 on gas every time you go to the specialty store. How do you know if you are getting enough of the jelly beans to make the trip worthwhile? Using the following equations determine your break-even point: Explain the meaning of your answer.

You decide to market your own custom computer software. You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you sell to break even?

Mike and Kim invest $18,000 in equipment to print yearbooks for schools. Each yearbook costs $5 to print and sells for $30. How many yearbooks must they sell before their business breaks even?

You are a budding entrepreneur and begin a typing service. You buy a personal computer for $1750 on which to do your typing. You charge $5.50 per page for typing. Expenses are $.50 per page for ink, paper, electricity, and other expenses. How many pages must you type to break even?

The rock band, Screamin’ Meanies, has a fan club that publishes a monthly newsletter. Expenses are $.35 for printing and mailing each copy, plus $770 total for research, writing and other costs. The price of the newsletter is $.55 per copy. How many copies of the newsletter must the club sell to break even each month?