Problem 2-19 Consider the linear program: Max 3A4B s.t. -1A 28 s 8 LA 2B 12 2A + 816 A, B 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) If you don't need the variable in the model, enter "0 for it or leave the box blank. S2+ + S A S3 s.t. - A S1 A S2 A S3 A, B, S, S2, 53 b. Select the correct graph that shows the optimal solution for the problem (i) (ii) (3) (3) 12- 12. 10- (I' 10- () 8 tion Value 40 Optimal solution A-20/3. B-8/3 Value-30 2/3 (2 (2 (iv) (3) \(3) 10- (1) Optimal solution Walue-40 solution A-20/3 B-8/3 Value-30 2/3 2) (2) 10 12 10 (iii) B (iv) 3) (3) 12 12- 10- 10 () (1) 8- 8 Optimal solution A-4.8, B-64 Value 40 Optimal solution 3 (21 (2 10 one decimal place f no entry is required, enter "0" or leave the box blank. c. What are the values of the three slack varlables at the optimal solution? If required, round your answers S S2 = S3=