Question No1:

Find the objective function and the constraints, and then solve the problem by using the Simplex

method. A manufacturer makes shirts and jackets. They have 1 press and 1 sewing machine.

Each shirt needs 2 minutes sewing and 3 minutes pressing. Each jacket needs 4 minutes sewing

and 1 minute pressing. The sewing machine can only operate for 2000 minutes per week and

press can operate for 1500 minutes per week. The profit made is 6 R.O per shirt and 7 R.O per

jacket. How many shirts and jackets should be made per week to maximize the profit?

Question No.2:

A product is produced by four factories F1, F2, F3, and F4. Their production capacities are:

F1:47 units, F2:67 units, F3:27 units and F4:57 units. These factories supply the product to

four stores, demand of which is 22, 32, 102, and 17 units respectively. Unit transportation

cost in dollars from each factory to each store is given in the following table. Determine the

extent of deliveries from each of the factories to each of the stores so that the total production

and transportation cost is minimum.

Factories Stores Supply

	S1	S2	S3	S4
F1	4	6	8	13	47
F2	14	12	10	8	67
F3	11	1	7	10	27
F4	10	12	14	9	57
Demand	22	32	102	17

Please solve 2 Question ... because must send tomorrow

Thank you very much