Find the Minimum Value of the Objective Function and Where

question 50

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 5y
​
Constraints:
​
X ≥ 0
​3x - y ≤ 9
2x + 3y ≥ 6
X + 4y ≤ 16
​​ ​

• A)Minimum at (0,2): 10
• B)Minimum at (4,3): 31
• C)Minimum at (0,3): 11
• D)Minimum at (3,0): 12
• E)Minimum at (0,4): 20