What price must be charged to maixmize revenue, Mathematics

What price must be charged to maixmize revenue

At price P, and quantity sold x of the certain product has been found to be p=-1/6x +100, when 0(< or =) x (< or =) 600.

a. State revenue R(x) as the function of x. Where revenue = quantity sold times price.

b. Determine quantity sold maximizes revenue?

c. Determine the max revenue?

d. what price must be charged to maixmize revenue?

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