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Use Simplex Method for the following: Minimize C = 18x + 36y + 42z Subject to the constraints: x + 3y + 4z 42 2x

Use Simplex Method for the following:

Minimize C = 18x + 36y + 42z Subject to the constraints: x + 3y + 4z  42 2x + 2y + 3z  48 x + 3y + 2z  36 x  0, y  0, z  0

a) The minimum value of C =____.

b) This value occurs when:

x =____

y =____

z =____

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