A Farmer Is Planning His Spring Planting Suppose the Farmer Can Purchase More Fertilizer for $2

A farmer is planning his spring planting.He has 20 acres on which he can plant a combination of Corn,Pumpkins and Beans.He wants to maximize his profit but there is a limited demand for each crop.Each crop also requires fertilizer and irrigation water which are in short supply.The following table summarizes the data for the problem.
$\begin{array}{r|rcccc}\text { Crop } & \begin{array}{c}\text { Profit per } \\\text { Acre } \$)\end{array} & \begin{array}{c}\text { Yield per } \\\text { Acre 1b) }\end{array} & \begin{array}{c}\text { Maximum } \\\text { Demønd lb) }\end{array} & \begin{array}{c}\text { Irrigation } \\\text { acre ft) }\end{array} & \begin{array}{c}\text { Fertilizer } \\\text { poundls/acre) }\end{array} \\\hline \text { Corn } & 2,100 & 21,000 & 200,000 & 2 & 500 \\\text { Pumplin } & 900 & 10,000 & 180,000 & 3 & 400 \\\text { Beans } & 1,050 & 3,500 & 80,000 & 1 & 300\end{array}$

Suppose the farmer can purchase more fertilizer for $2.50 per pound,should he purchase it and how much can he buy and still be sure of the value of the additional fertilizer? Base your response on the following Analytic Solver Platform sensitivity output.
$\text {changing cills}$
$\begin{array}{rrrrrrr}\text { Cell } & \text { Name } & \begin{array}{r}\text { Final } \\\text { Value }\end{array} & \begin{array}{r}\text { Reduced } \\\text { Cost }\end{array} & \begin{array}{r}\text { Objective } \\\text { Coefficient }\end{array} & \begin{array}{r}\text { Allowable } \\\text { Increase }\end{array} & \begin{array}{r}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ \mathrm{~B} \$ 4 & \text { Acres of Corn } & 9.52 & 0 & 2100 & 1 \mathrm{E}+30 & 350 \\\$ \mathrm{C} \$ 4 & \text { Acres of Pumpkin } & 0 & -500.01 & 899.99 & 500.01 & 1 \mathrm{E}+30 \\\$ \mathrm{D} \$ 4 & \text { Acres of Beans } & 10.79 & 0 & 1050 & 210 & 375.00\end{array}$

$\text { Constraints }$
$\begin{array}{ccccccc} \text { Cell } & \text { Name } & \begin{array}{l}\text { Final } \\\text { Value }\end{array} & \begin{array}{r}\text { Shadow } \\\text { Price }\end{array} & \begin{array}{c}\text { Constraint } \\\text { R.H. Side }\end{array} & \begin{array}{r}\text { Allowable } \\\text { Increase }\end{array} & \begin{array}{r}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ E \$ 8 & \text { Com demand Used } & 200000 & 0.017 & 200000 & 136000 & 152000 \\\$ E \$ 9 & \text { Pumplin demand Used } & 0 & 0 & 180000 & 1 E+30 & 180000 \\ \$ E \$ 10 & \text { Bean demand Used } & 37777.78 & 0 & 80000 & 1 \mathrm{E}+30 & 42222.22 \\ \$ E \$ 11 & \text { Water Used } & 29.84 & 0 & 50 & 1 E+30 & 20.15 \\\text { \$F\$12 } & \text { Fertilizer IJsed } & 8000 & 35 & 8000 & 3619.04 & 3238.09\\ \end{array}$