Question: please answer all the questions from (a) to (e) without using a solver software Problem 3: (Sensitivity Analysis) [20 points] Reem Production Company uses labor

please answer all the questions from (a) to (e) without using a solver software

Problem 3: (Sensitivity Analysis) [20 points] Reem Production Company uses labor and raw material to produce three products. The resource requirements and sales price for the three products are as shown in the table below. Product Resource 1 2 3 Labor (hours) 3 4 6 Raw material (units) 2 2 5 Sales price (AED) 6 8 13 Currently, 60 units of raw material are available. Up to 90 hours of labor can be purchased at AEDIO per hour. To maximize Reem Production profits, solve the following LP: max 6x + 8x2 + 13x3 102 s.t. 3x1 + 4x2 + 6x3 LLO 2x1 + 2x2 + 5x3 60 LS 90 L X 12: X3 Here, xi units of product i produced, and L number of labor hours purchased. Use a solver of you choice and answer the following questions: (a) (4 points) What is the most the company should pay for another unit of raw material? (b) (4 points) What is the most the company should pay for another hour of labor? (c) (4 points) What would product 1 have to sell for to make it desirable for the company to produce it? (d) (4 points) If extra 10 hours of labor could be purchased, what would the company's profit be? (e) (4 points) Find the new optimal solution if product 3 sold for 15AED

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