Identify all solutions for the graph (Check as many that apply)
2 answers:
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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:
#SPJ1
Answer:
The resulting three-dimensional object will be a cone
Step-by-step explanation:
Plot the figure to better understand the problem'
we have
a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1)
The draw in the attached figure
we know that
When rotating a a right triangle about a leg, the three dimensional figure formed is a cone
The radius of the cone will be equal to the base of right triangle and the height of the cone will be equal to the height of the triangle
so
The radius of the cone will be equal to 2 units and the height of the cone will be 3 units
see the attached figure to better understand the problem
