Management plans to offer at least 25 seminars total, and they will offer no more than 25 of each type of seminar. Follow the steps described below to determine how many of each type of seminar to offer to maximize productivity.
Note: If you get stuck on a step, try to make a reasonable guess at the answer and use that guess in the next step. If your answer to part (b) is incorrect you can still get full credit on part (c) if your calculations are correct.
a) Formulate the linear programming problem that must be solved to answer this question.
b) Graph the feasible region for this problem.
c) Find the extreme points of this feasible region.
d) How many Leadership seminars should Consilidated Electronics offer? How many Problem Solving seminars should they offer? Why?
Max | 40F | + | 30S | |
s.t. | F | + | S | > 4 |
F | > 2 | |||
S | > 0 | |||
F | > 0 |