- 3m + 6 (m - 2) = 9
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:
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The series of odd numbers is:
1, 3, 5, 7, 9, 11, 13, ....
If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.
The formula for the sum of an Arithmetic Series is:
Here,
n = number of terms = 100
a₁ = first term = 1
d = Common Difference = 2
Using the values, we get:
Thus, the sum of first 100 positive odd whole numbers is 10,000.