Problem A$-5($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 $3,900$ calories. No more than $1,500$ calories can be starch, no fewer than $450$ can be protein, and no more than $270$ calories should be fat. The varied diet is to be made of two foods: A and $B.$ Food A costs $$1\mathrm{.}90$ per pound and contains $700$ calories, $607$ of which are protein and $93$ starch. No more than $2$ pounds of food A can be used per resident. Food $B$ costs $$3\mathrm{.}00$ per pound and contains $1,300$ calories, of which $1,000$ are starch, $180$ are protein, and $120$ 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.$)$

$|z|=,A+$

s$.$t