Q$3$:

Marks $20$

Maxwell Manufacturing makes two models of felt tip marking pens.

Requirements for each lot of pens are given below.

The profit for either model is $$1000$ per lot.

a$.$ Write the linear programming model for this problem?

b$.$ Draw the feasible region of the model. Find the optimal solution by using

the

extreme point method.

c$.$ Solve the model by using Excel Solver.

d$.$ Generate the Answer of the model, describe the slack and surplus with

interpretation.

e$.$ Generate the Sensitivity report of the model, describe the Shadow price

with

interpretation.