Question

In: Economics

Heineken sells its products in Namibia and three neighboring countries. Data collected from 2010 to 2018...

Heineken sells its products in Namibia and three neighboring countries. Data collected from 2010 to 2018 shows that the company produced 300,000 barrels of beer annually. During this period, the average price per barrel of beer P (in Namibian dollars) was related to the quantity of beer sold Q (in thousands of barrels) by the demand function

P=-0.3224Q+245.4031

The total cost of producing Q thousand barrels of beer was

TCQ=101.1995Q+4699.3441

  1. At what output level revenue be maximized?

  2. Find the quantity and price levels that maximize profit.

Solutions

Expert Solution

(I)

P = - 0.3224Q + 245.4031

TR = PQ = - 0.3224Q2 + 245.4031Q

Revenue is maximized when MR = dTR/dQ = 0

- 0.6448Q + 245.4031 = 0

0.6448Q = 245.4031

Q = 380.59

(II)

MC = dTC/dQ = 101.1995

Profit is maximized when MR = MC.

- 0.6448Q + 245.4031 = 101.1995

0.6448Q = 144.2036

Q = 223.64


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