Linear Programming: Optimization

Hello,

I would like to learn how to solve this problem without Excel Solver. Can someone please show me the steps on how to simultaneously solve the equations from this problem? Thanks.

A farmer has 900 acres of land. The farmer is going to plant each acre with corn, soybean, or wheat.

Each acre planted with wheat yields 2k profit.

Each acre with soybean yields 2.5k profit.

Each acre with wheat yields 3k profit.

The farmer has 100 workers.

The farme has 150 tons of fertilizer.

**Per acre**

Corn requires: .1 worker, .2 tons of fertilizer

Soubean requires: .3 worker, .1 tons of fertilizer

Wheat requires: .2 worker, .4 tons of fertilizer

objective:

2000Corn + 2500Soy + 3000Wheat = Max Profit

Equations.

XCorn + YSoy + Zwheat <= 900

.1Corn + .3Soy + .2wheat <=100

.2Corn + .3Soy +.4wheat <= 150