Advanced Pricing

  1. Price discriminate sounds like a socially “bad” thing. Can you think of any reasons why price discrimination
    could be viewed as a socially “good” thing?
  2. As markets for some products and services experience greater global competition, what is the likely
    consequence for the incidence of price discrimination? Do you think global competition fosters or impedes
    price discrimination? Can you give any examples from your own work experience?
  3. Although there is relatively little difference in the cost of producing hardcover and paperback books, these
    books sell for very different prices. Explain this pricing behavior.
  4. A bar offers female patrons a lower price for a drink than male patrons. The bar will maximize profits by
    selling a total of 200 drinks (a night). At the current prices, male customers buy 150 drinks, while female
    customers buy 50 drinks. At this allocation between markets, the marginal revenue from the last drink sold to a
    female customer is $0.50.
    What should the bar do about its pricing?
    If the bar sells 151 drinks to males and 49 to females, what will be the increase (decrease) in total revenue?
  5. EZ Sharp Industries, Inc., manufactures the Kleen Edge(TM) line of diamond-abrasive cutlery sharpeners for
    home use. EZ Sharp holds a patent on its unique design and can earn substantial economic profit if it prices its
    Kleen Edge(TM) products wisely. EZ Sharp sells two models of its Kleen Edge(TM) sharpeners: the Classic,
    which is the entry-level model, and the Professional, which has a sonic sensor that controls the speed of the
    sharpening wheels.
    Short run production of sharpeners is subject to constant costs: AVC = SMC for both models. The constant
    costs of production at EZ Sharp Industries are estimated to be:
    Question 5 Data 1.png
    Total fixed costs each month are $10,000. The sole owner of EZ Sharp also manages the firm and makes all
    pricing decisions. The owner-manager believes in assuring himself a 200% profit margin by using the cost-plus
    pricing methodology to set prices for his two product lines. At these prices, EZ Sharp is selling 3,750 units of
    Classic model per month and 2,000 units of the Professional model per month.
    a. Using the cost-plus technique, compute the prices the owner-manager charges for the Classic and the
    Professional models, based on his required 200% profit margin.
    b. How much profit is EZ Sharp earning each month using the cost-plus prices in part a?
    The owner-manager is ready to sell the firm, but he knows the value of the firm will increase if he can increase
    the monthly profit somehow. He decides to hire Andrews Consulting to recommend ways for EZ Sharp to
    increase its profits. Andrew reports that production is efficient, but pricing can be improved. Andrews argues a
    new pricing plan based on optimal pricing techniques (i.e., the MR = MC rule).
    To implement the MR = MC methodology, Andrews undertakes a statistical study to estimate the demands for
    two Kleen Edge (TM) products. The estimated demands are:
    Question 5 Data 2.png
    Where QC and QP are the monthly quantities demanded of Classic and Professional models, respectively, and
    PC and PP are prices of Classic and Professional models, respectively. Andrews Consulting solved the
    demand equations simultaneously to get the following inverse demand functions, which is why Anderson gets
    paid the “big bucks”:
    Question 5 Data 3.png
    c. Find the two marginal revenue functions for the Classic and Professional model sharpeners.
    d. Set each marginal revenue function in part c equal to the appropriate cost and solve for the profit-maximizing
    quantities.

e. Using the results from part d, what prices will Andrews Consulting recommend for each model?
f. When the owner-manager sees the prices recommended by Andrews Consulting, he brags about how close
his simple cost-plus pricing method had come to their suggested prices. Compute the profit EZ Sharp can earn
using the consultants’ prices in part d. Is there any reason for the owner-manager to brag about his cost-plus
pricing skills?