Solve the linear programming problem.
1 answer:
Answer:
1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64
2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21
Step-by-step explanation:
1. Maximize: P = 4x +4y
Subject to: 2x + y ≤ 20
x + 2y ≤ 16
x, y ≥ 0
Plot the constraints and the objective function Z, or P=4x+4y)
Push the objective function to the limit permitted by the feasible region to find the maximum.
Answer: Objective function is a maximum at (16,0),
Z = 4x+4y = 4(16) + 4(0) = 64
2. Maximize P = 3x + 2y
Subject to x + y ≤ 8
2x + y ≤ 13
x ≥ 0, y ≥ 0
Plot the constraints and the objective function Z, or P=3x+2y.
Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.
Answer: Objective function is at a maximum at (5,3),
Z = 3x+2y = 3(5)+2(3) = 21
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Answer:
0.1463
Step-by-step explanation:
Number of observations = 10
Sample mean = 10.5
Sum of standard deviation = 264.5
X = 14
We are to calculate The leverage statistic for study hour 14 using the data above
= 1/10 + (14-10.5)²/264.5
= 1/10 + 3.5²/264.5
= 0.1 +12.25/264.5
= 0.1+0.04631
= 0.1463 is the leverage statistic for the study
