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: conflicts that arise in corporations should be addressed in the legal realm(A)
Explanation:
The principal-agent problem is an important part of the agency theory, the principal-agent problem views the firm as a connection of legal contracts.
In this perspective, corporations are seen merely as set of legal contracts that exists between the different parties. The conflicts that may take place are to be addressed in the legal realm.
Potential return has to do with the ability to receive a certain amount from an investment, while risk refers to the potential loss of the investment.
Answer:
A two-column schedule listing names and balances of all ledger accounts.
Explanation:
Financial statements can be defined as a document used for the formal communication or disclosure of financial information and statements to present and potential users such as investors and creditors.
Generally, financial statements are the formally written records of the business and financial activities of a business entity or organization.
There are four (4) main types of financial statements and these are;
1. Balance sheet: it contains financial information about assets, liability, and equity.
2. Cash flow statement: it contains financial information about operating, financial and investing activities.
3. Income statement: it contains financial information about the income and expenses of an organization.
4. Statement of changes in equity: it contains financial information about profits or loss, dividends, etc.
A trial balance consists of a two-column schedule listing names and balances of all ledger accounts.
