QC Electronics Produces Small, Hand-Held Calculators

Essay

QC Electronics produces small, hand-held calculators. The final product division of the company manufactures all parts of the calculator except the display unit, and then assembles, packages and distributes the product. The display units of the calculators are produced by a separate division of the firm called View Displays.
View Displays could sell the display units in the open market to a number of other manufacturers at a standard price of $.25. There is vigorous competition in the display unit industry and it is unlikely that any but the going price can be obtained.
Management has determined that the demand curve for quantity sold per month of the hand-held calculators is:
Q_c = 12,500 - 2000P_c, so that MR_c = 6.25 - .001Q_c)
while QC's marginal cost for hand-held calculators, excluding the cost of the display module is:
MC_c = .005Q_c
In addition, management has determined that the marginal cost for the display modules is:
MC_d = .0005Q_d
a. At what final product price and rate of output will the firm maximize profit?
b. How much of the transfer product should be produced?
c. Should the final product division obtain all of its display modules for the calculators from View Displays? Why or why not?