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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Answer:
A. $549000
Explanation:
Given information
Number of outstanding stock of Sherry, Inc = 60%
The cost of the land = $207,000
Fair value at the acquisition date = $549,000
By considering the above information, the value reflected in a consolidated balance sheet is $549,000.
The historical principle says that the fixed assets should be recorded at the purchase price or acquisition cost only and the same is to be considered
Answer:
(a) INDICATOR OF FRAUD
Explanation:
The reason is that the supervisor has an outside business setup related to the department's setup which gives rise to a conflict of interest.
The knowledge that company officers have over their assigned personnel will include:
- Duty assignments.
- Promotions.
- Retention.
- Performance evaluations.
- Duty exchange.
- Leave (vacation, sick, and wellness).
- Substance abuse.
- Absenteeism
<h3>What knowledge will company officers hold?</h3>
Company officers will be expected to directly interact with the personnel under them.
To do this, they are to have knowledge of certain things such as performance evaluations, substance abuse, and duty assignments. This would help them direct personnel better.
Options for this question are:
- Duty assignments.
- Promotions.
- Retention.
- Performance evaluations.
- Duty exchange.
- Leave (vacation, sick, and wellness).
- Substance abuse.
- Absenteeism
- All of the above.
Find out more on the duties of company officers/ management at brainly.com/question/3792248.
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Answer:
27.79
Explanation:
According to the given situation, the computation of average fixed inspection cost per unit is shown below:-
Average fixed cost of inspection = Inspection cost ÷ Machine hous in a month
= $197,309 ÷ 7,100
= 27.79
Therefore for computing the average fixed inspection cost per unit we simply applied the above formula.