Venus Robotics has two employee training programs - Teamwork and Creative Thinking. The training programs are delivered to 20 employees at a time. Teamwork training is a 3 day program and costs $10,000 per offering, Creative Thinking lasts 2 days and costs $8,000. Venus Robotics' management has decided that at least 15 training programs should be offered total, with at least 6 of these on Teamwork and at least 6 on Creative Thinking. However, they do not wish their employees to use more than 1000 days of training. (One Teamwork training program occupies 20 employees for 3 days, so requires 60 days of training time.) Formulate a linear programming model for minimizing cost of training programs.
2. Determine the cootdinates of each extreme point.
3. Find the minimal cost solution.
4. Would changing the minimum number of training programs in Teamwork from 6 to 4 affece your answer? How or why not?
5. Which (if any) of the solutions represented by the extreme points minimizes total time spent in training programs? How do you know?