Marginal Profit Help: Find Production Level of 3000 Units per Month

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SUMMARY

The discussion focuses on calculating the marginal profit for an electronics manufacturing company producing 3000 units of personal stereos per month. The cost function is defined as C = 4000 + 9.55x, while the demand equation is px = 20,000 - x/500. The correct marginal profit at this production level is established as $18.45. Participants clarify that the derivation of the cost function is not the appropriate starting point for this calculation.

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Homework Statement



An electronics manufacturing company has determined that the cost of producing x units
of its newest personal stereo is given by C = 4000 + 9.55x, and the monthly demand
equation is given by px=20,000 - x/500. Find the marginal profit for a production level of
3000 units per month.

I know the answer is $18.45 but I can't figure out how to start. Would I take the deriv of C? Surely not...

Homework Equations





The Attempt at a Solution


I know the answer is $18.45 but I can't figure out how to start. Would I take the deriv of C? Surely not...
 
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Edit: I misread the question.
 

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