A farmer in Wood County has $900$ acres of land. She is going to plant each acre with corn, soybeans, or wheat. Each acre planted with corn yields a $$2,000$ profit; each with soybeans yields $$2,500$ profit; and each with wheat yields $$3,000$ profit. She has $100$ workers and $150$ tons of fertilizer. The table below shows the requirement per acre of each of the crops.

CORN SOYBEANS WHEAT

Labor $($workers$)0\mathrm{.}10\mathrm{.}30\mathrm{.}2$

Fertilizer $($tons$)0\mathrm{.}20\mathrm{.}10\mathrm{.}4$

Assuming a linear relationship, use Excel Solver to determine the optimal planting mix of corn, soybeans, and wheat to maximize h