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Explanation:
Find the intersections of the constraints. Graphing, the intersections are:
(0, 0)
(0, 3)
(4, 5)
(7⅓, 0)
Evaluate the objective function P at each point.
P(0,0) = 0
P(0,3) = 72
P(4,5) = 248
P(7⅓,0) = 74⅔
The maximum is at (4,5).