Maximize Profit w/ Linear Programming: Omega Mfg Co

[SilverSurfer3]

Homework Statement

Omega Manufacturing Company has excess manufacturing capacity and is considering
devoting its excess capacity to product 1,2, and 3.
The production process uses three types of machines and the available capacity on the machines is as follows:
Milling Machine: 550 hrs/week
Lathe 350 hrs/week
Grinder 150 hrs/week

Profits and machine requirements in hours for the three products are as follows:
Catagory Products 1 Product 2 Product 3
Profit 50 20 25
Milling Machine 9 3 5
Lathe 5 4 0
Grinder 3 0 2

Sales Potentials for Product 1 and 2 exceeds max production and Product 3 is expected to sell no more than 20 units per week. Formulate the LP PROBLEM

I really appreciate any help I can get on the problem. I have been struggling with it for sometime and I have a couple more like it so if I can see how to solve this one I can work through the rest. Thanks very much!

 

[SilverSurfer3]

Note: This is a 3 variable Linear Programming Problem