Question

find the minimum and maximum values of z=9x+8y, if possible for the following set of constrains: 4x+3y>=12 x+3y>=6 x>=, y >= please show how to get corners

Answer 1

for the first constraint

divide by 12 both sides

x-intercept is (3,0)

y-intercept is (0,4)

draw a line between these two points

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.

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for the second constraint

divide by 6 both sides

x-intercept is (6,0)

y-intercept is (0,2)

draw a line between these two points

.

combine both graph

from the graph corner points are

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.

for point

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for point

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for point

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.

here feasible region is in the right sides so the function has an only minimum value

and that is at point  

for maximum value, the region is unbound