Question

Product	Ballet shoe	Climbing shoe	Dress shoe
Units made
Profit/unit($)	$            8.00	$                 5.30	$          8.00
Raw material 1 usage/unit(pound)	0.50	0.40	0.35
Raw material 2 usage/unit(pound)	0.01	0.03	0.02
Raw material 3 usage/unit(pound)	0.20	0.35	0.25
Minimal monthly demand(unit)	100.00	100.00	100.00

This month 1600 pounds of RM1, 2500 pounds of RM2, 1100 pounds of RM3 are available. How can this shoe manufacturer maximize its monthly profit?

a) has SOLVER found an integer solution? if yes, what is the optimal production mix?

b) Suggest another feasible solution, if there is any ( I want to ask this question)

Answer 1

Yes. I did it in the solver as you know it is also a bit tougher problem to solve that it's solution is three pages long.

And optimal solution I found is

Optimal profit founds to be 35636$

272.7273, x2 0, x3 4181.8182 1 Маx z 35636.3636

And no raw material 2 is to be used

It I not feasible anymore.