question archive Solve the linear programming problem
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Solve the linear programming problem.
Maximize P = 30x + 40y
Subject to 2x + y ≤≤16
x + y≤≤ 10
x + 2y ≤≤ 18
x, y ≥≥0
1. What is the maximum value of P? Select the correct choice below and fill in any answer boxes present in your choice.
a) P=_____(Type an integer or a fraction.)
b) There is no maximum value of P.
2. What are the coordinates of the comer point where the maximum value of P occurs? Select the correct choice below and fill in any answer boxes present in your choice.
a) The coordinates are _____ (Type an ordered pair.)
b) There is no maximum value of P.