please solve manually

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. Currently, 60 units of raw material are available. Up to 90 hours of labor can be purchased at AED 10 per hour. To maximize Reem Production profits, solve the following LP: max6x1+8x2+13x310Ls.t.3x1+4x2+6x3L02x1+2x2+5x360L90x1,x2,x3,L0 ESMA603/ENGR605 Final Exam (12/05/2020) Page 3 of 3 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 15 AED