An estate agent advertises its houses in two media; Daily Graphic and Ghanaian Times. The agent believes that there is a relationship between the sales S and the amounts spent on the two advertising media. The relationship is given by;       where, d is the amount spent in Daily Graphic and g is the amount spent in Ghanaian Times. The estate’s agent fee is 12½% and this includes the cost of adverting. If the agent has planned to spend only 200 thousand Ghana Cedis on advertisement, show how it should be allocated between the two media in order to maximize net profit.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.6P
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  1. An estate agent advertises its houses in two media; Daily Graphic and Ghanaian Times. The agent believes that there is a relationship between the sales S and the amounts spent on the two advertising media. The relationship is given by;

      where, d is the amount spent in Daily Graphic and g is the amount spent in Ghanaian Times. The estate’s agent fee is 12½% and this includes the cost of adverting. If the agent has planned to spend only 200 thousand Ghana Cedis on advertisement, show how it should be allocated between the two media in order to maximize net profit.

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