A Fitness Center Is Trying to Determine How to Allocate

Multiple Choice

A fitness center is trying to determine how to allocate funds for advertising. The manager decides to advertise on the radio and in the newspaper. Previous experience with such advertising leads the manager to expect responses when r adds are run on the radio and n adds appear in the newspaper. Each ad on the radio costs $13 and each newspaper ad costs $3. Using Lagrange multipliers, a student found that when $504 are budgeted for advertising, the maximum number of responses occurred from 26 radio ad and 56 newspaper ads and had Suppose the manager budgeted an additional $22 for advertising. What is the approximate change in the optimal value as a result of this change in the constraint level?

A) 2,710 additional response
B) 484 additional responses
C) 22 additional responses
D) 367 additional responses
E) 1 additional response