Twofirmsareoperatinginthemarketfor domestic robots: 'Elonbot' and 'Schitted', denoted respectively by subscripts E and S . Assume that both
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Question:
Twofirmsareoperatinginthemarketfor domestic robots: 'Elonbot' and 'Schitted', denoted respectively by subscripts E and S. Assume that both firms are the only two producers in this market.
total= E+S
ThesetwofirmsarefacingademandfunctionequaltoD= 800 0.5
These two firms have different total cost functions, as shown below, because each plant is slightly different.
TE= 40 + 22
TCS = 15+22
- Calculate the marginal revenue and marginal cost functions for each firm. (Hint: you need to firstly convert the demand function into its inverse form. Also this is a Cournot oligopoly.)
- Calculatehowmucheachfirmshouldbeproducingtomaximise itsprofits.
- Calculate the price at which the firms are maximising profits.
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