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Systems of Inequalities and Finding the Minimum Value : 4x + 3y > 72 and 6x + 10y < 174

The minimum value of z = 5x + 15y, subject to

4x + 3y > 72
6x + 10y < 174
x > 0, y > 0 occurs at:

A. (0, 17.4)
B. (9, 12)
C. (18, 0)
D. (29,0)

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Here we are trying to minimize a linear function on the plane, subject to four linear constraints. Since none of the constraints are parallel to the linear function, the minimum has to occur at ...

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A system of inequalities is solved and a minimum value is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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