Math

posted by .

Your class decides to publish a calendar to raise money. The initial cost, regardless of the number of calendars printed, is $900. After the initial cost, each calendar costs $1.50 to produce. What is the minimum number of calendars your class must sell at $6 per calendar to make a profit of at least $1200?

  • Math -

    Revenue - Cost = 1200
    Let N be the number produced (and sold)
    The revenue is 6N.
    The cost is 900 + 1.5 N.

    1200 = 6 N - (900 + 1.5N)
    = 4.5 N -900
    4.5 N = 2100
    N = 467
    N has to be an integer, so you round to the next higher integer.
    N=466 would result in a loss.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math-algebra

    The Mayan Empire, which ruled Central America for centuries, had two calendars. One calendar was the same as ours, 365 days long (without leap year). The other calendar was 270 days long, the length of a woman's pregnancy. If both …
  2. math

    The Mayan Empire, which ruled Central America for centuries, had two calendars. One calendar was the same as ours, 365 days long (without leap year). The other calendar was 270 days long, the length of a woman's pregnancy. If both …
  3. Decision science

    A wholesaler of stationery is deciding how many desk calendars to stock in inventory for the coming year. It is impossible for him to reorder, and leftover units are worthless. The following numbers indicate the possible demand levels: …
  4. math

    in order to purchase a computer for the student activities office, the freshman class decides to raise 1/3 of the money and the sophomore class decides to raise 1/2 of the money. The student government association agrees to contribute …
  5. math

    A gift shop owner plans to give away calendars during the 31 days in January. Signs in her store say that the first 100 customers each day will receive a calendar. Should the owner estimate or find the exact product when placing her …
  6. math

    A real estate salesperson bought promotional calendars and date books to give to her customers at the end of the year. The calendars cost $0.75 each, and the date books cost $0.40 each. She ordered a total of 600 promotional items …
  7. Math

    A real estate salesperson bought promotional calendars and date books to give to her customers at the end of the year. The calendars cost $0.75 each, and the date books cost $0.40 each. She ordered a total of 600 promotional items …
  8. Math

    To purchase a computer for the student activities office, the freshman class decides to raise 1/4 of the money, and sophomore class decides to raise 2/3 of the money. The student government association agrees to contribute the rest, …
  9. algebra

    The Jackson High School gymnastics team sells calendars for their annual fundraiser. The function rule below describes the amount of money the team can raise, where y is the total amount in dollars, and x is the number of calendars …
  10. Math

    A real estate salesperson bought promotional calendars and date books to give to her customers at the end of the year. The calendars cost ​$0.750.75 ​each, and the date books cost ​$0.500.50 each. She ordered a total of 500500 …

More Similar Questions