SOLUTION: student council is printing yearbooks to sell. Quick Print charges $750 to set up a large print job and charges $4.50 per yearbook. The student council is selling the yearbooks for

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Question 1195708: student council is printing yearbooks to sell. Quick Print charges $750 to set up a large print job and charges $4.50 per yearbook. The student council is selling the yearbooks for $19.50 each. Let x represent the number of yearbooks and y represent the cost.
Cost: y = 4.50x + 750
Revenue: y = 19.50x
A. How many yearbooks does the student council need to sell in order to break even
(HINT: determine point of intersection).
B. Determine the cost to print 150 yearbooks.
C. How much money would the student council raise if they sold 133 out of the 150 yearbooks they printed? (HINT: Use both equations to find the cost and revenue)

Answer by ankor@dixie-net.com(22740) (Show Source):
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student council is printing yearbooks to sell. Quick Print charges $750 to set up a large print job and charges $4.50 per yearbook.
The student council is selling the yearbooks for $19.50 each.
Let x represent the number of yearbooks and y represent the cost.
Cost: y = 4.50x + 750
Revenue: y = 19.50x
A. How many yearbooks does the student council need to sell in order to break even?(HINT: determine point of intersection).
Rev = cost, y=y
19.50x = 4.50x + 750
19.5x - 4.5x = 750
15x = 750
x = 750/15 = 50 yr books need to be sold to break even
:
B. Determine the cost to print 150 yearbooks.
Cost = 150(4.5) + 750
Cost = 675 + 750
Cost = $1425 to print 150 yr books
:
C. How much money would the student council raise if they sold 133 out of the 150 yearbooks they printed?
19.5(133) - (4.5(150) + 750) =
2593.5 - 1425 - 750 = $1168.50 raised