Problem 2 (125 Points) A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut/Raisin to put up. The deluxe mix has 0.75 pounds of raisins and 0.25 pounds of peanuts, and the standard mix has 0.5 pounds of raisins and 0.5 pounds of peanuts per bag. The shop has 750 pounds of raisins and 500 pounds of peanuts to work with. The profit of deluxe mix is $8 for a one-pound bag, and the profit of standard mix is $4 for a one-pound bag. The owner estimates that no more than 800 bags of each type can be sold (so each type will be made no more than 800 bags). a. Please construct the decision variables, objective function and list the corresponding constraints to maximize the profit. Decision variables: Objective Function: Points on the graph if X1 is 0 Points on the graph is X2 is 0 Constraints: Points on the graph if Xi Points on the graph if X2 is 0 is 0 Non-Negative Constraint Example: Constraints: Points on the graph if Xi Points on the graph if X2 is 0 is 0 (0,40) (60,0) Sugar 2x1 + 3x2