SOLUTION: (Write an inequality and solve the problem algebraically) Members of the band boosters are planning to sell programs at football games. The cost to print the programs is $150 pl

Algebra ->  Inequalities -> SOLUTION: (Write an inequality and solve the problem algebraically) Members of the band boosters are planning to sell programs at football games. The cost to print the programs is $150 pl      Log On


   

Question 892093: (Write an inequality and solve the problem algebraically)
Members of the band boosters are planning to sell programs at football games. The cost to print the programs is $150 plus $0.50 per program. They plan to sell each program for $2. How many programs must they sell to make a profit of at least $500?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
c cost
r revenue
p profit
n how many programs

c=150%2B0.5n
r=2n
p=r-c
p=2n-%280.5n%2B150%29
highlight%28p=2n-n%2F2-150%29

Let p=500
highlight_green%282n-n%2F2-150=500%29
-

%283%2F2%29n-150=500
%283%2F2%29n=650
n=650%282%2F3%29
n=433%261%2F3
The quantity to sell must be a whole number, so highlight%28n%3E433%29.

You could have continued earlier using highlight_green%282n-n%2F2-150%3E=500%29.