SOLUTION: If x units of a product cost C dollars to manufacture and earn revenue of R dollars, the value of x where the expressions for C and R are equal are called the break-even quantity,

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Question 563863: If x units of a product cost C dollars to manufacture and earn revenue of R dollars, the value of x where the expressions for C and R are equal are called the break-even quantity, the number of units that produce zero profit. Find the break-even quantity when C=15x+54000 and R=18x.
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Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
C = 15x + 54000
R = 18x
break even is when R = C
this means that:
18x = 15x + 54000
subtract 15x from both sides of this equation to get:
3x = 54000
divide both sides of this equation by 3 to get:
x = 18000
the breakeven point is when x = 18000
R = 18x = 18 * 18000 = 324000
C = 15x + 54000 = 15 * 18000 + 54000 = 270000b + 54000 = 324000