Kindly assist

Jj.nyam

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Jul 8, 2020
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Given the cost function, C(q)= 4(q − 2)^3 + 50, and revenue function R(q)= pq of a companywith q the quantity of items produced, in hundreds. If the selling price of a unit is R 30, what quantity will maximise profit and company produce more than 400 items.
 
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Also, what is "p"?
 
First, if you are using "R" as the unit of currency (I assume "Rupees"?) it is not a good idea to also use "R" for "Revenue". That can be confusing. Now, do you understand (this is Dr. Peterson point)) that "p" represents the selling price which you say is R 30? With p= 30, revenue is pq= 30q. Hopefully you know that profit is "revenue minus cost".
 
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