QUESTION $7$

Use the information in the table to answer the following question:

$\backslash$table$[[\backslash$table$[[$Irrigation Water$],[($ac in$)]],\backslash$table$[[$MVP Wheat$],[(100$ acres$)]],\backslash$table$[[$MVP Grain Sorghum$],[(100$ acres$)]],\backslash$table$[[$MVP Cotton$],[(100$ acres$)]]],[0,--,-,-],[4,1200,1600,1800],[8,800,1200,1500],[12,600,800,1200],[16,300,500,800],[20,50,200,400]]$

You are producing $100$ acres each of three irrigated crops, including wheat, grain sorghum, and cotton. Assume you have a maximum of $2400$ acre$-$inches of irrigation water that you can apply and water can only be applied in increments of $4$ acre$-$inches per crop. What is the optimal allocation of your limited irrigation water among these three crops?

a$.1200$ ac in to cotton and $1200$ ac in to grain sorghum

b$.800$ ac in to cotton, $800$ ac in to grain sorghum, and $800$ ac in to wheat

c$.1200$ ac in to cotton, $800$ ac in to grain sorghum, and $400$ ac in to wheat

d$.1200ac$ in to cotton, $800ac$ in to wheat, and $400ac$ in to grain sorghum