7-16 A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days pre- ceding the election. Two types of ads will be used: radio and television. Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 peo- ple. In planning the advertising campaign, the cam- paign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of tele- vision ads. How many ads of each type should be used? How many people will this reach? 7-16. (15 pts) (a) Definitions of variables (give the complete meanings of the variables): X = X = (b) Objective function in terms of the above variables (something like: Max 2X +3X): (pick one) Max or Min (c) Constraint 1 (budget): (d) Constraint 2 (at least 10 radio ads): (e) Constraint 3 (at least 10 television ads): (f) Constraint 4 (radio ads no less than television ads): (g) Constraint 5 (if there is, otherwise leave open): (h) Non-negative constraints: (1) The optimal solution of the above LP, as given by QM: X = X = 6) The optimal objective function value = (as given by QM)