At which point is the cost function C = x - 3y minimized with respect to the Teasible region described? * Given the following constraints: x + 2y 2 6 x + y 2 4| x, y 20 O (6, 0) O (0, 4) O (2, 2) O (4, 0)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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At which point is the cost function C = x - 3y minimized with respect to the
feasible region described? "
Given the following constraints:
x + 2y 2 6
x + y 2 4
х, у 2 0
(6, 0)
(0, 4)
(2, 2)
(4, 0)
The aim in the problem below is to maximize the number of earthquake
survivors that can be helped with the bottled water and the medical kit."
Bottled water and medical supplies are to be shipped to survivors of an eortnquake by
plane. Each container of bottled water will serve 10 people and each medical kit will ald 6
people. Each plane can carry no more than 80,000 pounds. The bottled water weighs 20
pounds per containor and each medical kit weighs 10 pounds. Each plane can corry a total
volume of supplies that does not exceed 6000 cubic feet. Each water bottle is 1 cubic foot
and each mecical kit also has a volume of I cubie foot.
True
False
Transcribed Image Text:At which point is the cost function C = x - 3y minimized with respect to the feasible region described? " Given the following constraints: x + 2y 2 6 x + y 2 4 х, у 2 0 (6, 0) (0, 4) (2, 2) (4, 0) The aim in the problem below is to maximize the number of earthquake survivors that can be helped with the bottled water and the medical kit." Bottled water and medical supplies are to be shipped to survivors of an eortnquake by plane. Each container of bottled water will serve 10 people and each medical kit will ald 6 people. Each plane can carry no more than 80,000 pounds. The bottled water weighs 20 pounds per containor and each medical kit weighs 10 pounds. Each plane can corry a total volume of supplies that does not exceed 6000 cubic feet. Each water bottle is 1 cubic foot and each mecical kit also has a volume of I cubie foot. True False
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