Kingston: Manufacturing sells in two distinct markets (A and B). The estimated demand functions for the firm are given below as:
Demand for market A: QA = 50 - 0.25PA
Demand for market B: Q = 100 PB
The firm's marginal cost is estimated at:
MC=20+ 0.4QT, Where QA is QP p. Output is measured in units of 1000.
i. Determine Kingston's profit-maximizing tota! output level (Hint: MRA+MRB = MRT) [3 marks]
ii. Indicate the amount of the commodity the firm mus: sell in each of the market in order to [3 marks] maximize its profit.
iii. Estimate the price the firm should charge in each market in order to maximize its profit. [3 marks]
iv. Determine the output level below which Kingston Manufacturing will sell only in the high priced market. [3 marks]
v. Sketch a diagram indicating the prices in each market and their corresponding output levels as well as total output of the firm. [2 marks]
vi. Show that the firm will charge a higher price and sell a lower quantity in the market with a relatively less elastic demand. [4 marks]