The cost, in thousands of dollars, of airing x television commercials during a Super Bowl game is given by C(x) = 20 + 4,000x + 0.05x^2. a. Find the marginal cost function, and use it to estimate how fast the cost is increasing when x=4. b. Find the average cost function and evaluate when the average cost is 4. What does the answer tell you?
Your college newspaper, The Collegiate Investigator, sells for 90 cents per copy. The cost of producing x copies of an edition is given by C(x) = 70 + 0.10x + 0.001x^2.
a. Calculate the marginal revenue and profit functions.
b. Compute the revenue and profit, if you have produced and sold 500 copies of the latest edition. Interpret the results.
c. For which value of x, is the marginal profit zero?