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Moderate

Lagrange Multipliers: Maximize ${ x }^{ 2 }{ y }^{ 7 }$

MVCALC-KYZL0G

Use the method of Lagrange Multipliers to maximize ${ x }^{ 2 }{ y }^{ 7 }$ subject to the constraint $x+y=9$.

A

$(0,9)$

B

$(9,0)$

C

$(3,6)$

D

$(1,8)$