Answer:12
Step-by-step explanation:
The maximum value of the objective function is 330
<h3>How to maximize the
objective function?</h3>
The given parameters are:
Max w = 5y₁ + 3y₂
Subject to
y₁ + y₂ ≤ 50
2y₁ + 3y₂ ≤ 60
y₁ , y₂ ≥ 0
Start by plotting the graph of the constraints (see attachment)
From the attached graph, we have:
(y₁ , y₂) = (90, -40)
Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂
w = 5 * 90 - 3 * 40
Evaluate
w = 330
Hence, the maximum value of the function is 330
Read more about objective functions at:
brainly.com/question/26036780
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Bill tells Matt that he has 3 kids. This means that in this item, we have three unknowns, those are the ages of the three kids. First, the product of the ages is 72.
(x)(y)(z) = 72
Also, for the sum of their ages, we have
x + y + z =?
There are three variables in the equation which means that 3 equations should also be presented to determine the ages of the three children.
Divide 250 from 250 and 1000 to get 1/4.
Let w = width of the rectangle
<span>4w+7 = length of the rectangle </span>
<span>perimeter = 2 lengths + 2 widths </span>
<span>2w + 2(4w+7) = 54 </span>
<span>2w + 8w + 14 = 54 </span>
<span>10w = 40 </span>
<span>w = 4 </span>
<span>4w+7 = 23 </span>
<span>dimensions of rectangle: </span>
<span>width = 4 </span>
<span>length = 23 hope this helps</span>