Question: Consider the following linear programming problem: Min A +2 B s.t. A +4 B 212 A + B 73 A +1.5 B 21-2 A +6

Consider the following linear programming problem:

  1. MinA+2Bs.t.A+4B212A+B73A+1.5B21-2A+6B0A,B0Select the correct graph that shows the optimal solution for the problem.
  2. Determine the amount of slack or surplus for each constraint. If required, round your answers to one decimal place.

  1. A+ 4B 21
  2. 2A+B 7
  3. 3A+ 1.5B 21
  4. -2A+ 6B 0

  1. Suppose the objective function is changed to Max 5A+ 2B. Select the correct graph that shows the optimal solution for the problem.

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