Question

Quill Manufacturing Business makes two models of marking pens. The requirements for each lot of pens in the three manufacturing departments are given below. All three departments are necessary in the production of both types of pens. The profit for both types of pen is $1000 per lot. What is the optimal production quantity for the Tiptop model pen?

Fliptop Model Tiptop Model Available production hours
Ink Assembly 3 4 36
Molding Time 5 4 40
Plastic 5 2 30

Answer 1

Answer:

Optimal production quantity for the Tiptop model pen is 7.5 lot  

Explanation:

Say, X and Y is the is the fliptop and tiptop quantity respectively, then

Profit = 1000*(X + Y)

Objective function: Maximize 1000*(X+Y) subject to;

Eq:1 3X+4Y=< 36

Eq:2 5X+4Y=< 40

Eq:3 5X+2Y=< 30  

Using Excel Solver, we get:  

Optimal production quantity for the Tiptop model pen is 7.5 lot