Question

면' TRACS : BA 5353-252: 1 . Analytics Homewor × ' Get Homework Help w TRACS : BA 5353-252: G Suppose that A and B c-Linear programming gr | + v ← → O仚凸https://tracs. state edu access content/group/93190d51c0cf-4baf-8fbf-d8705948dba Analytics%20Resources Assignment Analytics%20Homewor 962019 ☆ Find on page denote 左 鼠 崆 No results Options The following table summarizes the key facts about two products A and B, and the resources Q, R, and S, required to produce them Resource U Product A r unit Produced Product B Amount of Resource Available Resource Profit/unit 3,000 $2,000 You want to determine how many Product A and how many Product B to produce so as to maximize the total profit while not exceeding the resource limits. Assume that fractional numbers can be produced. a) 20 points) Formulate the algebraic model for the above problem. Clearly define your decision variables and then use them for formulating the objective function and the constraints. Then present the formulation. (9 points)Suppose that A and B denote the number of Products A and B produced, respectively b) I. (A,B (-1,1) a feasible solution? If not feasible, why? ii. Is (A,B) (1,1) a feasible solution? If not feasible, why? ii. S (A,B) (0,2) a feasible solution? If not feasible, why? c) (16 points) Solve this model using the Graphical Solution method. Explain whether the model has unique optimum, alternative optima, infeasibility or unboundedness. In particular, to do so: i. Generate the graph of feasible region and identify the optimum solution or solutions using the graph. Indude the graph in your submission (use snipping tool maybe?) Note: You can use the online tools given in the Week 1 Lecture Notes for the graphical the sample models on how the tool works. Explain whether the model has unique optimum, alternative optima, infeasibility or unboundedness, and why ii.

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