The following linear programming model formulation is used for the production of four different products, with two different manufacturing processes and two different material requirements:

a. Solve this problem by using the computer.
b. Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values.
c. Which is the most valuable resource to the firm?
d. One of the four products is not produced in the optimal solution. How much would the profit for this product have to be for it to beproduced?

maximize Z = $50x1 + 58x2 + 46x3 + 62x4 subject to 4xi + 3.5x2 4.63+3.9x4 600 hr. (process 1) 2.1x 2.6r2 3.5x3 1.9x4 s 500 hr. (process 2) 15x 23x2 + 18x3 25x4 3,600 lb. (material A) 8x 12.6x2 + 9.7x3 10.5x4 s 1,700 lb. (material B) + x2 xi+ x2+ 3 x4 2340