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:
Bond Price= $1,195.82
Explanation:
Giving the following information:
Face value= $1,000
YTM= 0.05/2= 0.025
Years tomaturity= 8*2= 16 semesters
Coupon= (0.08/2)*1,000= $40
<u>To calculate the price of the bond, we need to use the following formula:</u>
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 40*{[1 - (1.025^-16)] / 0.025} + [1,000/(1.025^16)]
Bond Price= 522.2 + 673.62
Bond Price= $1,195.82
Answer:
b. False (the part about assembly process is false)
Explanation:
Process manufacturing is the production of goods by combining material, material or raw materials using a formula or recipe. Examples of process products are food, beverage, pure oil, gasoline, medicines, chemicals and plastic products. Goods are produced in large quantities, and production often requires thermal or chemical conversion, such as heat, time, or pressure. The product created by process production is not usually disassembled. For example, once produced, a beverage cannot be separated from its contents. Process products are usually weighed or measured in size.
The assembly line(or process) is the name given to the system, where parts are combined and converted to a final product not the original, usually consisting of a moving belt or conveyor system, workstations connected with each other and the necessary equipment for this, with the industrial revolution that started in England, Henry Ford's friends The first assembly line that was put into practice together with the famous T model, which sells millions, is produced. Assembly line balancing is the process of assigning the tasks that need to be performed to workstations in a way that minimizes the lost time and maximizes the efficiency of the line, by complying with certain technology-related priority relationships and other constraints such as capacity. The assembly line balancing problem is a classic Industrial Engineering problem, which is very common in the industry and attracts great interest from the academy.
Answer:
The correct answer is A.
Explanation:
Bond is the instrument which is a fixed income and it represents a loan that is made by an investor to the borrower It is an IOU among the borrower and the lender which involves the payment as well as the loans details. It is used by the companies, states, sovereign governments and municipalities for financing the operations of the business.
Therefore, it is a instrument of debt, which the issuer has taken a loan.