Find the profit-maximizing price

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Reference no: EM1372017

No reaction will result in the monthly demand and marginal revenue functions:

P = $150-$0.1Q
MR = $150-$0.2Q

A major reaction will lead to the more elastic curves:

P = $130-$0.4Q
MR = $130-$0.8Q

The total monthly cost for marketing this product is composed of $3000 additional administrative expenses and $50 each unit for production and distribution costs. The relevant total cos and marginal cost are:

TC = $3000+$50Q
MC = $50

a.) what is the profit-maximizing price, assuming not competitor reaction?
b.) calculate this price based on the assumption competitors will react.
c.) in light of cost conditions and absent any substanial barriers to entry, which secenario is more likely?

I am going to show how I am attempting to solve this problem, but I will like to know if I am on the right track.

a.)
P = 150-0.1Q
= 150-50
= 100

MR = MC
150-0.2Q=50
100 =0.2Q
500 =Q

TR = TC
=100(500) - 3000 + 50(500)
=50000-28000
=$22000

b.)
P=100; P=90

TR = TC
= 90(100) - 3000 + 50(100)
= 9000 - 3000 + 50(100)
= 9000 - 8000
= 1000

Reference no: EM1372017

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