ASAP . What is the value of X ?
1 answer:
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Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
× 16 = 12
x = 12
OR: Set up a proportion:
×
<em>cross-multiply</em>
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
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
