SOLUTION: A firm sells its product for R200 per unit. The cost per unit (per month) is 80 + x , where x represents the number of units sold per month. Define the marginal profit function.?

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Question 1091951: A firm sells its product for R200 per unit. The cost per unit (per month) is 80 + x , where x represents the number of units sold per month. Define the marginal profit function.?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Makes no sense.

Math problem CAN NOT be formulated in this way.




Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

I will assume you are using the language in the way I am familiar with.

In that case, if x units are produced and sold, then the cost is the cost per unit, multiplied by the number of units:

C%28x%29+=+%2880%2Bx%29%28x%29+=+x%5E2%2B80x

The revenue is the selling price, multiplied by the number of units:

R%28x%29+=+200x

The profit function is the difference between the revenue and cost:

P%28x%29+=+200x+-+%28x%5E2%2B80x%29+=+-x%5E2%2B120x

And finally the marginal profit function is the derivative of the profit function:

-2x%2B120