Problem $19$S$-4($Algo$)$

A diet is being prepared for the University of Arizona dorms. The objective is to feed the students at the least cost, but the diet must have between $1,700$ and $3,600$ calories. No more than $1,700$ calories can be starch, and no fewer than $600$ can be protein. The varied diet is to be made of two foods: A and B $.$ Food A costs $$0\mathrm{.}75$ per pound and contains $800$ calories, $618$ of which are protein and $182$ starch. No more than $2$ pounds of food A can be used per resident. Food B costs $$0\mathrm{.}16$ per pound and contains $1,200$ calories, of which $900$ are starch, $180$ are protein, and $120$ are fat.

a$.$ Write the equations representing this information. $($Round your answers to $2$ decimal places$)$

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