Question: Given the following formulation, answer the below questions: Decision variables: let x = number of units of product 1 to produce. let y = number

Given the following formulation, answer the below

Given the following formulation, answer the below questions: 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 0 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) 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? c. Suppose that another technical breakthrough just occurred that raised the profit per product 1 (X) to $6. Is the solution still optimal? Why

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