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In: Advanced Math

Please show work 1) What combination of X and Y will yield the optimum for this...

Please show work

1) What combination of X and Y will yield the optimum for this problem?

Maximize Z = 10x+30y subject to (1) 4x + 6y < 12 and (2) 8x + 4y < 16

A) X=2.0, Y=0.0 B) X=1.5, Y=1.0, C) X=0.0, Y=2.0, D) X=3.0, Y=2.0 E) None

2) What combination of X and Y will provide a minimum for this problem?

Minimize Z = X + 3Y subject to: (1) 2X + 4Y > 12 and (2) 5X + 2Y > 10

A) X=6.0, Y=0.0 B) X=5.0, Y=0.0, C) X=1.0, Y=2.5, D) X=2.5, Y=1.0 E) None

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