Find the Minimum Value of the Objective Function and Where $\ge$

question 168

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the constraints:
Objective function:

Z = 4x + 16y

Constraints:

X $\ge$ 0
Y $\ge$ 0
X + 4y $\le$ 20
X + y $\le$ 18
2x + 2y $\le$ 21

• A)Minimum at \(\left( 0 , \frac { 19 } { 6 } \right)\) : \(\frac { 152 } { 3 }\)
• B)Minimum at \(\left( \frac { 22 } { 3 } , 0 \right)\) : \(\frac { 88 } { 3 }\)
• C)Minimum at (0, 0): 0
• D)Minimum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : 80
• E)No minimum

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