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 $3,500$ calories. No more than $1,500$ calories can be starch, no fewer than $400$ can be protein, and no more than $260$ calories should be fat. The varied diet is to be made of two foods: A and B$.$ Food A costs $$2\mathrm{.}40$ per pound and contains $700$ calories, $519$ of which are protein and $181$ starch. No more than $2$ pounds of food A can be used per resident. Food B costs $$2\mathrm{.}95$ per pound and contains $1,400$ calories, of which $1,100$ are starch, $190$ are protein, and $110$ are fat.

Write the equations representing this information. $($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Round your answers to $2$ decimal places.$)$

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