The interpretation of the result is that the maximum value of the objective function is 29
<h3>How to solve and interpret the result?</h3>
The objective function is given as:
Max z = 3x₁ + 5x₂+ 4x₃
The constraints are:
2x₁ +3x₂ ≤ 18
2x₁ + x₂ ≤ 10
3x₁ + 2x₂ +4x₃ ≤ 15
x₁, x₂, x₃ ≥ 0
Subtract the second inequality from the first
2x₁ - 2x₁ + 3x₂ - x₂ ≤ 18 - 10
Evaluate the like terms
2x₂ ≤ 8
Divide by 2
x₂ ≤ 4
Substitute 4 for x₂ in 2x₁ +3x₂ ≤ 18
2x₁ +3*4 ≤ 18
This gives
2x₁ + 12 ≤ 18
Evaluate the like terms
2x₁ ≤ 6
Divide by 2
x₁ ≤ 3
Substitute 4 for x₂ and 3 for x₁ in 3x₁ + 2x₂ +4x₃ ≤ 15
3*3 + 2*4 +4x₃ ≤ 15
This gives
17 +4x₃ ≤ 15
Evaluate the like terms
4x₃ ≤ -2
Divide by 4
x₃ ≤ -0.5
From the constraints, we have:
x₁, x₂, x₃ ≥ 0
So, we set all negative values to 0
This means that:
x₃ ≤ 0
Substitute these values in the objective function
Max z = 3 * 3 + 5 * 4 + 4 * 0
Evaluate
Max z = 29
Hence, the interpretation of the result is that the maximum value is 29
Read more about objective functions at:
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A scored re-review will be led for just places that scored a 75 or less. Foundations that have a score of 76 or better will yet essential encroachment get an un-scored follow-up appraisal to ensure that the fundamental infringement have been balanced
Answer:
C. the human resources manager
Explanation:
In large organizations, employee recruitment is the function of the human resource manager. The Human resource manager is an expert in employee affairs and works closely with the other managers to hire the right workers for each position.
The human resource manager coordinates the recruitment process, starting with advertising for the position, shortlisting, conducting interviews, and appointing the best candidate.
<u>Answer:Option C </u>Paid-In Capital in Excess of Par will be credited for $66,000
<u>Explanation:</u>
Given
No of shares 1,500
Par value $6
Common stock $75,000
Par value of stock = No of shares x Par value
=1500 x 6
=9,000
Excess paid in capital = Common stock - Par value
=75000-9000
=$66,000
So the Paid in capital which is excess of par value will be credited. It can also be termed as the market value of the shares. Par value will be mentioned in the share document. When there is additional paid in capital it is a credit balance in company accounts.
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