... small tiles. From the sales of these two types of products the company
generated different amount of profit and for the production of these products it
requires different amount of resources. For the production of the tiles the company
needs different activities and resources. Accordingly the activities are modeling,
backing, patterning, and clay is needed. That means, each type of tiles will require
modeling time, backing time, patterning time, and clay. As a result of some meetings
with concerned operating department personals, the manager has obtained the
following information:
Large title Small tile
Profit per unit $190 $ 240
Molding time per unit 18 minutes 15 minutes
Backing time per unit 16.2 minutes 34.8 minutes
Patterning time per unit 9.6 minutes 12 minutes
Clay per unit 32kg 20kg

Required:
The managers also acquired information on the availability of company resources. The amounts are: 60 hrs, 105 hrs, 40 hrs, and 6000kg for modeling time, Backing time, Patterning time and Clay respectively
a. Develop mathematical model and standardize the linear programming model for the problem ?
b. Sole the problem by using simplex algorithm. Clearly show the raw
operations with the required procedures ?