In the quantity-price contract example in Figure, we noted that the order quantity, Q = 20, is
Question:
The seller names a price for its output, and the buyer chooses the quantity to purchase at this price.
a. Find the buyers profit-maximizing purchase quantity as it depends on the sellers quoted price P. (The buyer sets Q to maximize ÏB = B - PQ = 3Q - Q2/20 - PQ. Treating P as a parameter, set dÏB/dQ equal to zero. You should find that P = 3 - Q/10 or, equivalently, Q = 30 - 10P.)
b. Find the sellers optimal price. (The easiest approach is to use the price equation, P = 3 - Q/10, treat Q as the decision variable, and set MR = MC to find optimal quantity and price.)
c. Explain why an inefficient outcome results when the seller quotes a take-it-or-leave-it price perunit.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Managerial economics
ISBN: 978-1118041581
7th edition
Authors: william f. samuelson stephen g. marks
Question Posted: