Question $2$: $(15$ marks$)$

It is $14$ h $00$ on a Friday afternoon and the owner of a fast$-$food truck is trying to decide the best way to allocate the available raw material to four Friday night specials. The decision has to be made in the early afternoon because three of the items must be started now $($Sloppy Joes, Tacos and Chili$).$ The following table contains the information on the food in inventory and amounts required for each of them in lbs$.$

One other fact relevant to the decision is the estimated market demand and selling price.

The food truck owner wants to maximize revenue given the materials that have already been purchased and are sitting in the cooler. Write a Linear Programming formulation to determine what mix of the Friday night specials is required to maximize the food truck's revenue. You don't need to solve this problem.