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Use Graphical Methods to Solve the Linear Programming Problem z=8x+12y\mathrm{z}=8 \mathrm{x}+12 \mathrm{y}

Question 38

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Maximize z=8x+12y\mathrm{z}=8 \mathrm{x}+12 \mathrm{y}
Subject to:
40x+80y56040 x+80 y \leq 560
6x+8y726 x+8 y \leq 72
x0x \geq 0
y0y \geq 0
 Use graphical methods to solve the linear programming problem. -Maximize \mathrm{z}=8 \mathrm{x}+12 \mathrm{y}  Subject to:  40 x+80 y \leq 560   6 x+8 y \leq 72   x \geq 0   y \geq 0     A)  Maximum of 120 when  x=3  and  y=8  B)  Maximum of 92 when  x=4  and  y=5  C)  Maximum of 96 when  x=9  and  y=2  D)  Maximum of 100 when  x=8  and  y=3


A) Maximum of 120 when x=3x=3 and y=8y=8
B) Maximum of 92 when x=4x=4 and y=5y=5
C) Maximum of 96 when x=9x=9 and y=2y=2
D) Maximum of 100 when x=8x=8 and y=3y=3

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