Question: Consider the linear program: Max 3A + 4B s.t. -A + 2B S 8 A + 2B S 12 (2) 2A + Bs 16 (3)

Consider the linear program: Max 3A + 4B s.t. -A

Consider the linear program: Max 3A + 4B s.t. -A + 2B S 8 A + 2B S 12 (2) 2A + Bs 16 (3) 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 your answer is zero, enter "0". If the constant is "1" it must be entered in the box. Max C 3 A+ 46+ 0 S1 + $2+ 053 s.t. C -1 A+ C 28+ C osi 12 16 I+ILO S3 A, B, S1, S2, b. Select the correct graph that shows the optimal solution for the problem. (ii) Optimal solution A=4.8, B=6.4 Value=40 Optimal solution A=20/3, B=8/3 Value=30 2/3 10 12 2 6 5 to 10 g Optimal solution A=4.8, B=6.4 Value=40 Optimal solution A=20/3, B=8/3 Value=30 2/3 2610 Graph (ii) c. What are the values of the three slack variables at the optimal solution? If required, round your answers to one decimal place. If no entry is required, enter "O

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