For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue function for selling x items is R(x)=−0.5(x−80)2+3,200. The maximum capacity of the company is 120 items. 3. The company can choose to produce either 40 or 50 items. What is their profit for each case, and which level of production should they choose? Profit when producing 40 items = Profit when producing 50 items =

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

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A: We will use here the concept of derivatives which gives the solution as follows: