C. A travel company is the only provider of holidays (of one week's duration) to two private island resort X and resort Y. The demand equations for such holidays. are given by; ¶ x = 200 - Px1 y = 100 - Py Where x andy are numbers of week-long holidays at X and Y demanded (respectively). andPx, Pyare (respectively) the prices of these holidays. The company's joint total cost function (that is, the cost of providing x holidays in X-and-y-holidays in Y) is ¶ 2x² + y² + 2xy Find an expression in terms of x-and-y for the profit the company obtains from selling. these holidays. Determine the numbers of x and y of holidays in resorts X and Y-that- will maximize the company's profit.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.3P
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C. A travel company is the only provider of holidays (of one week's duration) to two.
private island resort X and resort Y. The demand equations for such holidays.
are given by;
¶
x = 200
Px¶
y = 100 - Py
-
Where x-and-y are numbers of week-long holidays at X and Y demanded (respectively).
andPx,Py are (respectively) the prices of these holidays. The company's joint-total-cost-
function (that is, the cost of providing x holidays in X-and-y-holidays in Y) is ¶
2x² + y² + 2xy¶
Find an expression in terms of x and y for the profit the company obtains from selling.
these holidays. Determine the numbers of x-and-y of holidays in resorts X and Y-that-
will maximize the company's profit.
Transcribed Image Text:C. A travel company is the only provider of holidays (of one week's duration) to two. private island resort X and resort Y. The demand equations for such holidays. are given by; ¶ x = 200 Px¶ y = 100 - Py - Where x-and-y are numbers of week-long holidays at X and Y demanded (respectively). andPx,Py are (respectively) the prices of these holidays. The company's joint-total-cost- function (that is, the cost of providing x holidays in X-and-y-holidays in Y) is ¶ 2x² + y² + 2xy¶ Find an expression in terms of x and y for the profit the company obtains from selling. these holidays. Determine the numbers of x-and-y of holidays in resorts X and Y-that- will maximize the company's profit.
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