Question: Question (3): Given the following formulation, answer the below questions: (8 marks) Decision variables: let x= number of units of product 1 to produce. let

Question (3): Given the following formulation, answer the below questions: (8 marks) Decision variables: let x= number of units of product 1 to produce. let y = number of units of product 2 to produce. = Objective function: Maximize z=x+2y. Subject to: x+y 12 (resource A) x58 (resource B) y s6 (resource C) x and y20 Answer the following questions based on the above data: a. What is the optimal point? (Don't show me your graph here in the paper. Write the optimal point only in the answer) (2 marks) b. Suppose that a technical breakthrough just occurred that raised the profit per product 2 (Y) from $2 to $12. Is the solution still optimal? Why? (4 marks) c. Suppose that another technical breakthrough just occurred that raised the profit per product 1 (X) to $6. Is the solution still optimal? Why? (4 marks)

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