A farmer is planning his upcoming spring planting. He has at most $15$ acres on which he can plant a combination of maize, pumpkins and beans. He wants to maximize his profit but there is a limited maximum demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only $45$ acre$-$feet of irrigation water available and only $8,000$ pounds of fertilizer available. The following table summarizes the data for the problem.

$\backslash$table$[[$Crop$,$Profit per Acre $($$$),\backslash$table$[[$Yield per$],[$Acre $($lbs$)]],\backslash$table$[[$Maximum$],[$Demand $($lbs$)]],\backslash$table$[[$Water per Acre$],[($acre$-$feet$)]],\backslash$table$[[$Fertilizer per$],[$Acre $($lbs$)]]],[$Maize$,800,19,000,200,000,2,500],[$Pumpkin$,1,200,9,500,180,000,3,400],[$Beans$,1,950,4,000,80,000,1,300]]$

Let $,x1=$ acres of maize

$x2=$ acres $of$ pumpkin

$x3=$ acres $of$ beans

Formulate the complete linear program for this problem. Then answer the questions below.

What is the coefficient of $x1$ in the objective function?

What is the coefficient of $x3$ in the land supply constraint?

What is the RHS of the water supply constraint:

What is the coefficient of $x2$ in the pumpkin demand constraint:

What is the correct equality$/$inequality sign for the land supply constraint $($enter $=$ or $$ or $>)$: