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

Question (3): Given the following formulation, answer the below questions: (8-marks) Decision variables:letx=number of units of product 1 to produce. lety=number of units of product 2 to produce. Objective function:-Maximize z=x+2y9 Subject to: x+y12 (resource-A) x58 (resource:B) y6(resource C) x-and y205 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-56. Is the solution still optimal? Why? (4 marks)

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