Please answer the following:

The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize prots. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of prots but faces only a limited demand. There are also a limited number ofwiring assembly and inspection hours available in each month. The data for this problem is summarized in the following table. Maximum Ammbly Inspection demand for Hours Hours Computer Prolpa Wiring Hours Model Model (3) producl Required Required Required min 40 so .4 .s .2 Fancy 35 90 .5 .4 .2 Hours Awihble so so 22 Let X1 = Number of Plain computers to produce X2 = Number of Fancy computers to produce The LP model for the problem is MAX: 40 X1 + 35 x2 Subject to: .4 X1 + .5 X2 5 50 (wiring hours) .5 X1 + .4 X2 5 50 (assembly hours) .2 X1 + .2 X2 5 22 (inspection hours) X1 S 80 (Plain computers demand) X2 5 90 (Fancy computers demand) X1, X2 2 0 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost $A$4 x1 so 0 40 3.75 5 $854 X2 50 0 35 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H.side Increase Decrease $C$7 49 0 50 1E+30 1 $C$8 50 50 50 2 1 $C$9 22 75 22 0.22222222 1 $C$10 60 0 80 18-30 20 $C$11 50 0 90 1E+30 40 In the provided blank insert the letter that corresponds with the correct answer. For example, if the correct answer is "a. 2.5". insert "a" as the correct answer. AI, Refer to Exhibit 4.4. What is maximum possible prot? a, 4200 b 4150 c. 3910 d none ofthese 4-II. Refer to Exhibit 4.4. What happen to the optimal solution if the objective function coefficient of decision variable X1 is now equal to $43? a. cannot tell because there is not enough information b. optimal solution is not going to change c. optimal solution is going to change d. the problem becomes infeasible 4-III. Refer to Exhibit 4.4. What is the value of the objective function if the objective function coefficient of decision variable X2 is now equal to $36? a. cannot tell because there is not enough information b. 4150 c. 3910 d. 4200