Suppose a company's revenue function is given by R(q) C(q) sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. .3 - q° + 400q? and its cost function is given by 190 + 20q, where q is hundreds of units A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) Preview B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)

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A: Please see the below picture for detailed solution.

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A: topic - differential equations

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A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

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