The Linear Programming Problem Has an Unusual Characteristic $$\left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right)$$

question 35

Multiple Choice

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ?
Objective function:
?
Z = 2.5x + y
?
Constraints:
?
X ? 0
Y ? 0
3x + 5y ? 15
?5x + 2y ? 10
?

• A) Minimum at (0,0): 0
• B) Minimum at \[\left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right)\] : 5.00
• C)? Minimum at \[\left( \frac { 20 } { 19 } , 0 \right)\] : 2.63
• D)? No minimum
• E)? Minimum at \(\left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right)\) : 6.97

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