A diet is being prepare for the University of Arizona dorms. The objective is to feed the students at the least cost, but the diet must have between $1,800$ and $3,600$ calories. NO more than $1400$ calories can be startch and no fewer than $400$ can be protein. The varied diet is to be made of two foods A and B$.$ Food A costs $$\mathrm{.}75$ per pound and contains $600$ calories, $400$ of which are protein adn $200$ starch. No more than $2$ pounds of food A can be used per resident. Food B costs $$\mathrm{.}15$ per pound and contains $900$ calories, of which $700$ are starch, $100$ are protein and $100$ are fat.

Write the equations representing the information and then enter them into the appropriate cells.

What is the equation you are trying to optimize?

What equations is the optimization formula subject to$?$

What is the optimal solution?