Author Question: A maximizing linear programming problem has two constraints: 2X + 4Y (Read 138 times)

washai · **on:** Dec 3, 2019

Question 1

What combination of a and b will yield the optimum for this problem?
Maximize $6a + $15b, subject to (1) 4a + 2b < 12 and (2) 5a + 2b < 20 and (3) a, b ≥ 0.
◦ a = 0, b = 0
◦ a = 0, b = 6
◦ a = 3, b = 3
◦ a = 6, b = 0
◦ cannot solve without values for a and b

Question 2

A maximizing linear programming problem has two constraints: 2X + 4Y < 100 and 3X + 10Y < 210, in addition to constraints stating that both X and Y must be nonnegative. The corner points of the feasible region of this problem are
◦ (20, 15).
◦ (0, 0), (70, 0), (25, 0), and (15, 20).
◦ (0, 0), (50, 0), (0, 21), and (20, 15).
◦ (0, 0), (0, 100), and (210, 0).
◦ none of the above.

epscape · **Reply #1 on:** Dec 3, 2019

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