develop linear program and provide the pros and cons. will give thumbs up if answered soon.

Create Thread FORUM DESCRIPTION Choose one of the three Case Problems at the end of Chapter 3. Develop the linear programming model. Then, discuss the pros and cons of using this mathematical model in making a managerial decision for this kind of problems. You do not need to post the model to the threaded discussion. This assignment is worth 1% of your grade and is due by 11:30 p.m. Saturday September 26, 2020. d. Use sensitivity analysis to dete per unit would have to change in order to produce additional units of the PI Mexico plant. Case Problem 1 PRODUCT MIX TJ, Inc.'s makes three nut mixes for sale to grocery chains located in the Southeast. The three mixes, referred to as the Regular Mix, the Deluxe Mix, and the Holiday Mix, are made by mixing different percentages of five types of nuts. In preparation for the fall season, TJ, Inc.'s just purchased the following shipments of nuts at the prices shown: Type of Nut Almond Brazil Filbert Pecan Walnut Shipment Amount (pounds) 6000 7500 7500 6000 7500 Cost per Shipment ($) 7500 7125 6750 7200 7875 The Regular Mix consists of 15% almonds, 25% Brazil nuts, 25% filberts, 10% pecans, and 25% walnuts. The Deluxe Mix consists of 20% of each type of nut, and the Holiday Mix con- sists of 25% almonds, 15% Brazil nuts, 15% filberts, 25% pecans, and 20% walnuts. An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.65 for the Regular Mix, $2.00 for the Deluxe Mix, and $2.25 for the Holiday Mix. These figures do not include the cost of specific types of nuts in the different mixes because that cost can vary greatly in the commodity markets. Customer orders already received are summarized here: Type of Mix Regular Deluxe Holiday Orders (pounds) 10,000 3,000 5,000 Because demand is running high, it is expected that TJ, Inc. will receive many more orders than can be satisfied. TJ, Inc. is committed to using the available nuts to maximize profit over the fall season; nuts not used will be given to a local charity. Even if it is not profitable to do so, TJ, Inc.'s president indicated that the orders already received must be satisfied. Perform an analysis of the TJ, Inc.'s product-mix problem, and prepare a report for the presi- dent of TJ, Inc. that summarizes your findings. Be sure to include information and analysis o 1. The cost per pound of the nuts included in the Regular, Deluxe, and Holiday mixes 3. Recommendations regarding how the total profit contribution can be increased if 4. A recommendation as to whether TJ, Inc. should purchase an additional 1000 pounds Chapter 3 Linear Programming: Sensitivity Analysis and Interpretation of Solution Managerial Report the following: 2. The optimal product mix and the total profit contribution additional quantities of nuts can be purchased On of almonds for $1000 from a supplier who overbought 5. Recommendations on how profit contribution could be increased (if at all) if TJ, Inc. does not satisfy all existing orders