Find the maximum value of P=3x+2y subject to the following constraints: Please help me!!!
1 answer:
The maximum value of P is determined to be 33. 
). The solutions to both sets of constraints lie beneath the lines. Solve the equations 5x + y = 16 and 2x + 3y = 22 simultaneously to find their intersection point at (2, 6).
Step-by-step explanation: Start by graphing the constraints represented by the lines
5x + y = 16, which has intercepts at (16, 0) and (0, 16), and
2x + 3y = 22, with intercepts at (11, 0) and (0,The vertices of the feasible region are determined to be (0, 0), (0, 16), (2, 6), and (11, 0). Evaluate the objective function at each vertex.
At (0, 0), P = 0. At (0, 16), P = 32. At (2, 6), P = 18. Finally, at (11, 0), P = 33. Thus, the maximum P value occurs when x = 11 and y = 0.
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