Find the Minimum Value of the Objective Function and Where $$\left( 0 , \frac { 19 } { 6 } \right)$$

question 40

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 ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 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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