(30 Points] The price-demand equation and the cost function for the production of HD TV's are given, respectively, by p(x) = 300 - I and C (x) = 150,000 + 30x 30 Where x is the number of HDTVs that can be sold at a price of Sp per TV and C(x) is the total cost (in dollars) of producing x TVs (a) Find the marginal cost and marginal average cost when x = 2000 . Interpret your results . (b) Find the revenue function ?(x) . (c) Find the marginal revenue and marginal average revenue when x = 2000 . Interpret your results . (d) Find the profit function P(x) . (e) Find the marginal profit and marginal average profit functions when x = 2000 . Interpret your results (f) Find the break-even points and graph the cost and revenue functions on the same graph (you can Desmos). Indicate regions of loss and profit on the graph