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. Sansa: 5 daggers per week
Arya: 10 daggers per week
b. Sansa's opportunity cost of making a dagger: 2 shields
Arya's opportunity cost of making a dagger: 3 shields
c. Sansa
d. Arya
Explanation:
a. The maximum number of products made in a week is determined by dividing their weekly time capacity with the time demanded for each piece. So, to determine Sansa's maximum number, just divide 30 hrs / 6 hrs = 5. The same applies for Arya and shields too.
b. The opportunity cost is determined as the missed benefit when Sansa/Arya opts for one product. So, when Sansa chooses to dedicate 6 hours of her working time to make a dagger, she misses the benefits of having 2 shields, as she was able to make 2 shields for the same time frame (6 hours). The same applies for Arya.
c. Comparative advantage is determined by comparing the opportunity costs associated with each product and competitor. Since Sansa's opportunity cost in making daggers is lower than Arya's (2 shields compared to 3 shields), Sansa has a comparative advantage over Arya in making daggers.
d. Absolute advantage is determined as the ability of an individual to produce the same (or greater) number of output than the competitor, given the same time frame. It is evident that Arya has an absolute advantage over Sansa, as she can create more shields and daggers than her in the same time frame (30 hrs).
Answer:
D) insider trading information
Explanation:
Insider information is defined as private facts (non-public information) about a public corporation that are used by investors in order to gain advantage. Insider trading is illegal since 1934 (made illegal by the Securities and Exchange Act) since it provides unfair advantage to those investors who have the insider information over those investors who don't.
Answer:
The equilibrium quantities of lettuce reduces and price remains the same.
Explanation:
In the attached image is the grapichal analysis of the reduction of demand and supply in the same proportion.
Answer:
common tasks for human resource and management will be
analyzing and modifying compensation and benefits policies
advising managers on organizational policy matters
performing difficult staffing duties
serving as a link between management and employees
Explanation:
reason behind why B and E are incorrect is due to because B is suppose to ensure security to workers and be sure, as it's not common as it's not too common for human resources to be required to changed policy
and E is wrong as manager/ a employer of the retail business is required to handle new hires or deal with shoppers and customers
