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What is the optimal point

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Reference no: EM133052825

Decision variables: Objective function: Subject to:x + y ≤ 12 (resource A)x ≤ 8 (resource B)

Let x = number of units of product 1 to produce.

Let y = number of units of product 2 to produce. 

Maximize z = x + 2y.

 y ≤ 6 (resource C)

 x and y ≥ 0 

Answer the following questions based on the above data:

  1. What is the optimal point? (Don't show me your graph here in the paper. Write the optimal point only in the answer) 
  2. 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? 
  3. Suppose that another technical breakthrough just occurred that raised the profit per product 1 (X) to $6. Is the solution still optimal? Why? 

Reference no: EM133052825

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