Suppose that a software company produces CDs (computer disks) at a cost of $4 each, and fixed costs are $50. The cost function, the total cost of producing x disks, will then be C(x) = 4x + 50, and the average cost per unit will be the total cost divided by the number of units. 4x + 50 AC(x) = (a) Find lim AC(x), which the unit or marginal cost. lim AC(x) = (b) Sketch the graph of AC(x), showing the horizontal asymptote. [Note: Your graph should be an illustration of the general business principle for linear cost functions: In the long run, average cost approaches marginal cost.]

Suppose that the dollar cost of producing x appliances is c(x) = 700 + 110x -0.4x² a. Find the average cost per appliance of producing the first 130 appliances. b. Find the marginal cost when 130 appliances are produced. c. Show that the marginal cost when 130 appliances are produced is approximately the cost of producing one more appliance after the first 130 have been made, by calculating the latter cost directly.

3.) The revenue equation (in billions of dollars) for corn production in the United States is approximated by R(x)=0.016x² +1.034x+11.338 Where x is in billions of bushels. For example if you have 10 billion bushels, then x = 10. (Data from www.usda.gov) a.) Find the marginal revenue function b.) Find and interpret the marginal revenue for 15 billion bushels c.) Find and interpret the marginal revenue for 20 billion bushels

True or False and explain why