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:
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The answer is:
The missing step is the step shown in the last option:
D.
To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:
Starting from the last step before the missing step, we have:
In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.
We must remember the following properties:
Now, finding the missing step, we need to find what to do in order to get the expression of the following step.
So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:
Hence, we found the the missing step is:
D.
Have a nice day!
