SOLUTION: The function C(x)=119x+750 represents the cost of producing x three-pronged stainless steel widgets. R(x)=169x represents the revenue from selling x of them. Find the following.

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Question 1046559: The function C(x)=119x+750 represents the cost of producing x three-pronged stainless steel widgets. R(x)=169x represents the revenue from selling x of them. Find the following.
a. number that must be sold to break even.
b. profit from selling 500.
c. profit or loss from selling 200 at the regular price and 300 at half price.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Profit is revenue minus cost, or R%28x%29-C%28x%29=169x-119x-750=highlight_green%2850x-750%29.


For break-even, 50x-750=0.

For profit of selling 500 items, 50%2A500-750.

You want to find prices for solving the last question.
C%28x%29%2Fx is price. This would not be constant, so possibly the question should not really be answered this way. But continuing, price is 119%2B750%2Fx for a "regular" price.

HALF the regular price would be %281%2F2%29%28119%2B750%2Fx%29.

These should mean that 200 items will be given price of 119%2B75%2F20 per item, and that 300 items at half price will be given a price of %281%2F2%29%28119%2B75%2F30%29 per item.

None of that changes the revenue, still carrying the same formula R=169x.

You can continue working with the question c. if you want to.