Question: A candidate for mayor in a small town has allocated $40,000 for last minute advertising in the days preceding the election. Two types of ads will be used radio and TV. Each radio ad costs $200 and reaches 3,000 people. Each TV ad costs $500 and reaches 7,000 people. Campaign manager wants to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also the radio ads must be at least as great as the number of TV ads.
a. Constraint equations 5 points (1 point each, remember R, T = 0)
b. Profit equation 2 points
c. Graph shows constraint equations and feasible area - 3 points
d. Profit is calculated at all corner points - 2 points
e. Optimal point is shown - 1 point This is what is required for the answer.