SOLUTION: Can someone help me with this problem please Back Packs, Inc., finds that the cost to make x back packs is C = 129x + 6687, while the revenue produced from them is R = 171x (C a

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Question 161581: Can someone help me with this problem please
Back Packs, Inc., finds that the cost to make x back packs is C = 129x + 6687, while the revenue produced from them is R = 171x (C and R are in dollars). What is the smallest whole number of backpacks, x, that must be sold for the company to show a profit?
160
23
280,854 or
2,006,100

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
When , Cost equals Revenue, that is the break-even point. If
you sell 1 more backpack, you will show the smallest profit possible.




Subtract from both sides

to the nearest whole number
Let Profit =

I'll find the Profit for 158 backpacks, which should be negative
and for 160 backpacks which should be positive









If 160 backpacks are sold, the profit will be $33, the smallest possible

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