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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) $The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. Objective function: Z = 2.5x + y Constraints: X \ge 0 Y \ge 0 3x + 5y \le 15 5x + 2y \le 10 A) Minimum at (0, 0) : 0 B) Minimum at \left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right) : 5.00 C) Minimum at \left( \frac { 20 } { 19 } , 0 \right) : 2.63 D) No minimum E) Minimum at \left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right) : 6.97$ Minimum at (0, 0) : 0
B) $The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. Objective function: Z = 2.5x + y Constraints: X \ge 0 Y \ge 0 3x + 5y \le 15 5x + 2y \le 10 A) Minimum at (0, 0) : 0 B) Minimum at \left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right) : 5.00 C) Minimum at \left( \frac { 20 } { 19 } , 0 \right) : 2.63 D) No minimum E) Minimum at \left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right) : 6.97$ Minimum at $\left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right)$ : 5.00
C) $The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. Objective function: Z = 2.5x + y Constraints: X \ge 0 Y \ge 0 3x + 5y \le 15 5x + 2y \le 10 A) Minimum at (0, 0) : 0 B) Minimum at \left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right) : 5.00 C) Minimum at \left( \frac { 20 } { 19 } , 0 \right) : 2.63 D) No minimum E) Minimum at \left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right) : 6.97$ Minimum at $\left( \frac { 20 } { 19 } , 0 \right)$ : 2.63
D) $The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. Objective function: Z = 2.5x + y Constraints: X \ge 0 Y \ge 0 3x + 5y \le 15 5x + 2y \le 10 A) Minimum at (0, 0) : 0 B) Minimum at \left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right) : 5.00 C) Minimum at \left( \frac { 20 } { 19 } , 0 \right) : 2.63 D) No minimum E) Minimum at \left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right) : 6.97$ No minimum
E) $The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. Objective function: Z = 2.5x + y Constraints: X \ge 0 Y \ge 0 3x + 5y \le 15 5x + 2y \le 10 A) Minimum at (0, 0) : 0 B) Minimum at \left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right) : 5.00 C) Minimum at \left( \frac { 20 } { 19 } , 0 \right) : 2.63 D) No minimum E) Minimum at \left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right) : 6.97$ Minimum at $\left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right)$ : 6.97

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

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

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