Question

You are CEO of Eastco, and you recently paid $58,000 or about 2x revenue (well under industry average) to purchase Westco, which makes a product nearly identical to yours. This move will allow you to operate in both regions (East and West) of the country. If you combine the markets, the total Fixed Cost would be $11,000 per month, and your larger purchase size will allow you to advantageous terms for your raw materials, meaning VC will be $4 per unit. Demand and MR in the combined market is as follows:

Qd = 600 - 6P
MR = 100 - 0.333Q
A) Compute your profit in the combined market. Additional analysis shows that demand and fixed costs are different in the 2 regions. The West has the following demand and Mg:
Qd = 300 - 4P
MR = 75 - 0.5Q
Fixed costs associated with operating in the West are $5000/month. While the East is a less price sensitive market:
Qd = 300 - 2P
MR = 150 - Q
Fixed costs associated with operating in the East are $6000/month. The area manager from the East suggests you use a strategy that charges each market a separate price. If you operate in separate markets, the VC associated with each unit is $5.
B) Calculate your profits using this strategy. What is this strategy called?
C) What strategy do you suggest in the Long Run?

Answer 1

Profit in the combined market OR Combined profit is

π = -0.1665Q² + 96Q - 11,000 dollars

Step-by-step explanation:

NOTE: The second or B part of the question is incomplete hence only answers to A part are provided

(A) The data given are:

TFC = $11,000 /month

TVC = $4 /unit = $4Q

QD = 600 - 6P

MR = 100 - 0.333Q

The data derived from this are:

TC = TFC + TVC = 11,000 + 4Q

PROFIT = TR - TC

TR = ∫MR = ∫(100 - 0.333Q) = 100Q - 0.1665Q²

PROFIT = 100Q - 0.1665Q² - 11,000 - 4Q

PROFIT = -0.1665Q² + 96Q - 11,000 dollars

If the money used to purchase WestCo is factored in, then you'll subtract it from this profit. That will be;

PROFIT = -0.1665Q² + 96Q - 69,000 dollars