o For Problem 3: (3 decision variables) 20 POINTS - Mathematical Formulation - 1. Show the Decision Variables 2. Show the Objective Function 3. Show the Constraints ii. - Solution of the LP Problem 1. Solver Solution iii. Sensitivity Analysis for: 1. Coefficients of the Objective Function: DEFINE THE LOWER AND UPPER LIMITS 2. Resources: DEFINE THE LOWER AND UPPER LIMITS 3. Explain the Shadow Price for the binding constraints 4. One question will be (for one specific constraint): What is the new z value if we increase the resource by x units? iv. Explain your findings Taco Loco is considering a new addition to their menu. They have test marketed a number of possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products is made from a different combination of beef, beans, and cheese, and each product has a price point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's management science consultant formulates the following linear programming model for company management. Max R= 14Z + 13Y+ 17X subject to: Beef 2Z + 3y + 4X