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Amazon is the dominant firm in the online shopping service industry, which has a total market demand given by Q = 100 – 2 P. Amazon has competition from a fringe of four small firms that produce where their individual marginal costs equal the market price. The fringe firms each have total costs given by TCi = 10 Qi + Q 2 i. If Amazon’s total costs are given by TCA = 10 + 10 QA, what price should Amazon establish for online shopping service?

Respuesta :

ogorwyne

The price that Amazon has to establish for their online shopping should be $20.

How to solve for the price

We have the price function as

P = 10 + 2Qi

Make Qi subject

= Qi = 0.5P - 5

4 firms with identical features

This would give us  

Qs = 4Qi

Qs = 4(0.5P -5)

Qs = 2p - 20

Q = 100 - 2p

Qa = Q - Qs

(100 - 2P) - (2P -20)

Take like terms

100 - 2p - 2p + 20

100 - 4p + 20

Qa = 120 - 4p

Make p subject

p = 120 - Qa / 4

p = 30 - 0.25Qa

TRa = p*Qa

= (30 - 0.25Qa)Qa

= 30Qa - 0.25Qa²

MRa

=  30 - 0.5Qa

TCA = 10 + 10QA

=  ΔTCA / ΔQA

= 10

30 - 0.5QA = 10

Take like terms

30 - 10 = 0.5Qa

divide through by 0.5

20/0.5 = Qa

40 = Qa

Output produced =  40.

We have P as

30 - 0.25QA

P = 30 - 0.25( *40)

= 20

Hence the price that Amazon has to establish for the online shopping should be $20

Read more on marginal costs here:

https://brainly.com/question/17230008

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