Topic $4-$ Linear Programming: Appli

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Problem $9-1590$ while super must have a level of at least $100.$ The cost per barrel, octane levels, and available amounts $($in barrels$)$ for the upcoming two$-$week period are shown in the following table. Likewise, the maximum demand for each end product and the revenue generated per barrel are shown.

$\backslash$table$[[$Input$,$Cost$/$Barrel$,$Octane,Available $($barrels$)],[1,$$$16\mathrm{.}50,100,110,000],[2,$$$14\mathrm{.}00,87,350,000],[3,$$$17\mathrm{.}50,110,300,000],[,,$Revenue$/$Barrel$,$Max Demand $($barrels$)],[,$Regular,$$18\mathrm{.}50,350,000],[,$Super,$$20\mathrm{.}00,500,000]]$

Develop and solve a linear programming model to maximize contribution to profit.

Let $R_i=$ the number of barrels of input i to use to produce Regular, $i=1,2,3$

$S_i=$ the number of barrels of input $i$ to use to produce Super, $i=1,2,3$

If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a $+$ sign before the blank. $($Example: $-300)$

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Regular

Super

$$18\mathrm{.}50$

$350,000$

$500,000$

Develop and solve a linear programming model to maximize contribution to profit.

Let $R_i=$ the number of barrels of input i to use to produce Regular, $i=1,2,3$

$S_i=$ the number of barrels of input $i$ to use to produce Super, $i=1,2,3$

If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a $+$ sign before the blank. $($Example: $-300)$

$R1,R2,R3,S1,S2,S30$

What is the optimal contribution to profit?

Maximum Profit $=$$ $$ by making $$ barrels of Regular and $$ barrels of Super.

Assignment Score: $0\mathrm{.}0\%\backslash$table$[[$Input$,$Cost$/$Barrel$,$Octane,Available $($barrels$)],[1,$$$16\mathrm{.}50,100,110,000],[2,$$$14\mathrm{.}00,87,350,000],[3,$$$17\mathrm{.}50,110,300,000],[,,$Revenue$/$Barrel$,$Max Demand $($barrels$],[,,$$$18\mathrm{.}50,350,000],[,$Regular,$$20\mathrm{.}00,500,000]]$