In: Economics
One big international bakery group has bought all the existing individual bakery stores and formed a monopoly. The market demand remains the same and the marginal revenue of the monopoly is MR = 25-5Q. This monopoly re-allocates all the production resources, and finally its total cost becomes TC=3Q2 -8Q+9 and its marginal cost is MC= 6Q-8, where Q is in millions of units. What will be the selling price and profit for this monopoly? Illustrate the profit-maximizing price and quantity in a diagram.
For Monopoly, at eqm
MR = MC
25-5Q = 6Q-8
33 = 11Q
Qm = 3
Pm = 25 - 2.5Q
= 25-2.5*3
= $ 17.5
( As demand Curve have Slope, half to that of the MR curve )
so Demand Curve: P = 25 - (5/2)Q )
profit = TR - TC
= 3*17.5 - ( 3*9 -8*3 +9)
= 52.5 - 27 +24 -9
= $ 40.5
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graph