Your college newspaperr The Coifegiate Investigator, sells for 90 per copy. The cost of producing x copies of an edition is given by C(x) = 40 + 0.10x + 0.001;:2 dollars. (a) Calculate the marginal revenue R'[x} and prot P'(x] functions. HINT [See Example 2.] R'{x] = 9'0!) = (b) Com Jute the revenue and prot, and also the marginal revenue and prot, if you have produced and sold 500 copies o'the latest edition. revenue at \\:l marginal revenue at \\:l per additional copv marginal profit at \\:l per additional copv Interpret the results. The approximate from the sale of the 501st copv is S \\:l . c) For which value of)! is the marginal prot zero? [ Interpret your answer. The graph of the prot function is a parabola with a vertex atx = \\:l , so the prot is at a maximum when you produce and sell \\:l copies. Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 1,000 and P'(1,000) = -4, what do these values tell you about the profit? P(1,000) represents the profit on the sale of Blu-ray discs. P(1,000) = 1,000, so the profit on the sale of Blu-ray discs is $ . P'(x) represents the -Select-- v as a function of x. P'(1,000) = -4, so the profit is decreasing at the rate of $ per additional Blu-ray disc sold.Consider the following function. 4 ;X= l X2 x) = {a} Use anyr method to estimate the slope of the tangent to the graph of the given function at the point with the given x-coordinate. {Round your answer to three decimal places.) (b) rind an equation of the tangent line in part {a}. HINT [See Example 233).] 5' = Sketch the curve together with the appropriate tangent line