Question

Alex is a high school student campaigning for the position of student council president. He plans to solicit votes through wall posters and individual flyers distributed throughout the school for the student body. It is estimated that votes are earned according to the following function: Votes=20〖WP〗^0.5 IF^0.5 where WP represents the number of wall posters and IF represents the number of individual flyers. Thus the marginal product for wall posters is 10〖WP〗^(-0.5) IF^0.5 and for individual flyers is 10〖WP〗^0.5 IF^(-0.5). The cost of a wall poster is $0.90 and the cost of an individual flyer is $0.60. Suppose that Alex needs 49 votes to win the election (his class has 97 students so 49 votes would guarantee a win).

e)Suppose that as a way of promoting fairness, Alex’s school has very strict campaign rules that will only allow candidates to spend a maximum of $3 dollars on campaigning. What is the max number of votes Alex can earn under this rule? (Note that you can have fractions of WP and IF)

Answer 1

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