A furniture company is producing two types of furniture. Product A requires 8 board feet of wood and 2 lbs of wicker. Product B requires 6 board feet of wood and 6 lbs of wicker. There are 2000 board feet of wood available for product and 1000 lbs of wicker. Product A earns a profit margin of $30 a unit and Product B earns a profit margin of $40 a unit. What should the objective function be?单项选择题
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Yarra Ltd makes three different products. The details are as follows. [table] Product code | A | B | C Selling price per unit | $20 | $18 | $24 Variable cost per unit | $13 | $12 | $16 Weekly demand (units) | 30 | 25 | 24 Machine hours per unit | 2 hours | 1 hours | 2.5 hours Fixed cost | $5,000 [/table] Additional information: i) Fixed cost is not affected by the choice of product to produce, as all the products use the same machine. ii) Machine time is limited to 100 hours a week.[Fill in the blank] Given that machine time is not enough to support the production of all the products, help managers decide the priority of each product. Response Template - There is a table/template in the response textbox to assist in entering the answer. If you accidentally delete it, you may copy the template provided in the question and paste it into the response textbox. You must answer this question in the response textbox. (Rest assured, if you encounter any difficulties copying and pasting correctly, you will still be allowed to enter the answer in the response textbox without using the templates.)[table] | | | | | | | | | | | | | | | | | | [/table][Fill in the blank] Which combination of products should Yarra Ltd to produce to achieve the highest profit?[Fill in the blank] What possible steps could Yarra Ltd take to achieve a higher level of contribution margin? Provide at least three suggestions.[Fill in the blank]
Hobbins Corporation makes three products that use compound Z, the current constrained resource. Data concerning those products appears below: Info about Products that use Compound Z P Q R Selling price per unit $48 $67 $55 Variable cost per unit $30 $43 $34 Minutes of compound Z per unit 2 5 3 Rank the products in order of profitability from most profitable to least profitable with respect to the constrained resource.
Question textConsider the following linear program: The initial simplex tableau for a problem is: [table] x₁ | x₂ | x₃ | x₄ | x₅ | b 2 | 1 | - 2 | 1 | 0 | 8 1 | 2 | 4 | 0 | 1 | 6 -4 | -5 | -6 | 0 | 0 | 10 [/table] Carry out one iteration of the primal simplex method. Choose the entering variable that results in the maximum improvement in the objective value. What is the current objective value? Answer 1 Question 3[input] What value in the current basic solution of the dual variable for the first constraint? Answer 2 Question 3[input] The current solution is: Answer 3 Question 3[select: , Both primal & dual feasible, Only primal feasible, Only dual feasible, neither primal nor dual feasible] Which variable should enter the basis to yield the maximum decrease in the objective value? Answer 4 Question 3[select: , x₁, x₂, x₃, x₄, x₅] Which variable leaves the basis? Answer 5 Question 3[select: , x₁, x₂, x₃, x₄, x₅] What is the objective value after this single pivot? Answer 6 Question 3[input]
Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $750,000 from an inheritance. Characteristics of the funds are given in the table below. Qualis Mutual Fund Data Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Mutilnational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced 3.50% 6.91 The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively. Which of the following describes the constraint on the mid-cap fund?
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