Question: 3. The price-demand equation and cost function for the production of HDTV's are, respectively, by x = 9,000 - 30p and C(x) = 150,000 +

3. The price-demand equation and cost function for the production of HDTV's are, respectively, by x = 9,000 - 30p and C(x) = 150,000 + 30x Where x is the number of HDTVs that can be sold at a price of $p per TV and C(x) is the total cost (in dollars) of producing x TVs. a. Express the price p as a function of the demand x, and find the domain of this function. b. Find the marginal cost. The price-demand equation and cost function for the production of HDTV's are, respectively, by x = 9, 000 -30p and C(x) = 150, 000 + 30x Where x is the number of HDTVs that can be sold at a price of $p per TV and C(x) is the total cost (in dollars) of producing x TVs. C. Find the revenue function and state its domain. d. Find the marginal revenue e. Find R'(3,000)and R'(6,000) and interpret these quantities f. Find the profit function in terms of x g. Find the marginal profit. h. Find P'(1,500)and P'(4,500) and interpret these quantities

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