Develop a linear progranming model to help Bahama determine how many bags of each type to produce to maximize contribution to profit. How many bags of each type should be produced and what is the maximal profin? Which constraints are binding?

$5.$ Kilgore's Deli is a small delicatessen located near a major university, Kilgore's does a large walk$-$in canry$-$out lumeh business. The deli offers two luncheon chili specials, Wimpy and Dial $911.$ At the beginning of the day, Kilgore needs to decide how much of each special to make $($he always sells out of whatever he makes$).$ The protit on one serving of Wimpy is $$\mathrm{.}45,$ on one serving of Dial $911,$ $$\mathrm{.}58.$ Each serving of Wimpy requires $25$ pound of theef, $25$ cup of onions, and $5$ ounces of Kilgore's special sauce. Each serving of Dial $911$ nequires $25$ pound of beel, $4$ cup of onions, $2$ sunces of Kilgore's spocial satuce, and $5$ ounces of hot sauce. Today, Kilgore has $20$ pounds of heef, $15$ cups of onions, $88$ ounces of Kilgore's special sisuce, and $60$ ounces of hot satuce on hand.

a$.$ Develop a linear progranming model that will tell Kilgore how many servings of Wimpy and Dial $9$