There are two types of car, distinguished by how fuel efficient they are. Type O is the less fuel efficient type, and type 1 is the more fuel efficient. The inverse demand curves for the two types of car are: Po = 250 – Qo – Q1/2, P = 120 – Q1 – Qo/2. (1) Cost functions are Co(Qo) = 50Q0, C:(Q1) = 20Q1 (2) respectively. 1. Until question 5, we consider a "feebate" or "Clean Car Discount". That generally means there would be a subsidy on the purchase of some cars, and a tax on others, but in the following analysis it will be possible to have taxes on both or subsidies on both. In the current question, assume that there are two monopolies, one for type 0 cars and one for type 1 cars. Mathematically, this is equivalent to a Cournot duopoly with differentiated goods.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter2: Fundamental Economic Concepts
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Hi just wanting answer to c using the information from the first pciture.

Cheers

There are two types of car, distinguished by how fuel eficient they are. Type
O is the less fuel efficient type, and type 1 is the more fuel efficient. The inverse
demand curves for the two types of car are:
Po = 250 – Qo – Q1/2, P = 120 – Q1 – Qo/2.
(1)
Cost functions are
Co(Qo) = 50Q0, Ci(Q1)=20Q1
(2)
respectively.
1. Until question 5, we consider a “feebate" or "Clean Car Discount". That
generally means there would be a subsidy on the purchase of some cars, and
a tax on others, but in the following analysis it will be possible to have taxes
on both or subsidies on both. In the current question, assume that there are
two monopolies, one for type 0 cars and one for type 1 cars. Mathematically,
this is equivalent to a Cournot duopoly with differentiated goods.
Transcribed Image Text:There are two types of car, distinguished by how fuel eficient they are. Type O is the less fuel efficient type, and type 1 is the more fuel efficient. The inverse demand curves for the two types of car are: Po = 250 – Qo – Q1/2, P = 120 – Q1 – Qo/2. (1) Cost functions are Co(Qo) = 50Q0, Ci(Q1)=20Q1 (2) respectively. 1. Until question 5, we consider a “feebate" or "Clean Car Discount". That generally means there would be a subsidy on the purchase of some cars, and a tax on others, but in the following analysis it will be possible to have taxes on both or subsidies on both. In the current question, assume that there are two monopolies, one for type 0 cars and one for type 1 cars. Mathematically, this is equivalent to a Cournot duopoly with differentiated goods.
(c) Simultaneously solve your first-order conditions to find the equilibrium
quantities sold of the two types of car.
Transcribed Image Text:(c) Simultaneously solve your first-order conditions to find the equilibrium quantities sold of the two types of car.
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