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Use the Two-Stage Method to Solve A) Minimum Is 77 For

Question 64

Multiple Choice

Use the two-stage method to solve.
-  Minimize w=18x1+11x2 subject to: 2x1+2x2=146x1+2x2362x1+4x224x10,x20\begin{array}{ll} \text { Minimize } & w=18 x_{1}+11 x_{2} \\\text { subject to: } & 2 x_{1}+2 x_{2}=14 \\& 6 x_{1}+2 x_{2} \geq 36 \\& 2 x_{1}+4 x_{2} \leq 24 \\& x_{1} \geq 0, x_{2} \geq 0\end{array}


A) Minimum is 77 for x1=0,x2=7x_{1}=0, x_{2}=7
B) Minimum is 115.5 for x1=5.5,x2=1.5x_{1}=5.5, x_{2}=1.5
C) Minimum is 84 for x1=1,x2=6x_{1}=1, x_{2}=6
D) Minimum is 112 for x1=5,x2=2\mathrm{x}_{1}=5, \mathrm{x}_{2}=2

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