Question: Modeling and Solving a) Please formulate this problem as a two-variable linear programming model and write the model in the format of LINGO code. b)
Modeling and Solving
a) Please formulate this problem as a two-variable linear programming model and write the model in the format of LINGO code.
b) Please display this model graphically using the graph overleaf and remember to label each constraint and its relevant side, feasible region, optimal level line and optimal point on the graph clearly. Based on your graph, calculate the optimal solution and the optimal objective function value.
Question 5 (20 points)
A factory manufactures two products, Maxi and Mini, during a weekly planning period. Both products are processed on two machines Machine AandMachine B each with limited available hours.
| Product | Selling Price ($/unit) | Variable Cost ($/unit) | Time on Machine A (hr) | Time on Machine B (hr) |
|---|---|---|---|---|
| Maxi | 80 | 50 | 4 | 3 |
| Mini | 60 | 40 | 1 | 2 |
Machine availability per week:
Machine A:120 hours
Machine B: 150 hours
In addition to machine capacities, the following operational conditions apply:
The number of units of product Mini cannot exceed Maxi by more than 10 units
The factory has a contractual commitment to produce at least 10 units of product Maxi per week
Due to limited warehouse space, the total weekly output cannot exceed 70 units
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
Study Help