Maximize p = 2x + 3y subject to 3x + 8y ? 45 6x + 4y ? 36 x ? 0, y ? 0.
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Step 1
For the first inequality, 3x + 8y < 45, we can rewrite it as y < (45 - 3x)/8. Let's plot this line on the xy-plane. To do this, we can find the x and y-intercepts of the line. When x = 0, y = 45/8 = 5.625 When y = 0, x = 45/3 = 15 So, we have the points (0, Show more…
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