Your college newspaperr The Collegiate Investigator, sells for 90 per copy. The cost of producing x copies of an edition is given by C(x) = 40 + 0.1.0x doom:2 dollars. (a) Calculate the marginal revenue R'{x) and prot P'fx) functions. HINT [See Example 2. am = Pm = (b) Compute the revenue and prot. and also the marginal revenue and profit. if you have produced and sold 500 copies of the latest edition. revenue 5 profit S marginal revenue 5 per additional copy marginal profit 5 per additional {opt}.I Interpret the results. The approximate Select V from the sale of the Solst copy is S (c) For which value otx is the marginal proFit zero? x = copies Interpret you r a ns\\-.re r. The graph of the prot function is a parabola with a vertex at X = :I r so the profit is at a maximum when you produce and sell 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. F(x) = -;x= -1 (a) Use any 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) Find an equation of the tangent line in part (a). HINT [See Example 2(b).] Sketch the curve together with the appropriate tangent line. y B 4 -10 -5 5 X 10 -10 -5 5 10 O -21 O X -10 -5 5 X 10 -10 -5 5 10 O O