The Linear Programming Problem Has an Unusual Characteristic $\ge$ 0
Y $\ge$

question 242

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 $\ge$ 0
Y $\ge$ 0
3x + 5y $\le$ 15
5x + 2y $\le$ 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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