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In Problem 5, Suppose That Grinch and Grubb Go into the Wine

question 10

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In Problem 5, suppose that Grinch and Grubb go into the wine business in a small country where wine is difficult to grow. The demand for wine is given by p = $420 - .2Q, where p is the price and Q is the total quantity sold. The industry consists of just the two Cournot duopolists, Grinch and Grubb. Imports are prohibited. Grinch has constant marginal costs of $60 and Grubb has marginal costs of $30. How much Grinch's output in equilibrium?


Definitions:

Compounded Annually

The process of calculating interest on both the initial principle and the accumulated interest of previous periods once per year.

Interest Rate

The percentage of a sum of money charged for its use, typically expressed as an annual percentage.

Quadratic Form

An expression in algebra where the highest power of a variable is squared, typically in the format ax^2 + bx + c.

Completing The Square

A method used in algebra to solve quadratic equations by converting the equation to a perfect square trinomial.

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