--%>

Assistance with a quiz

I have a quiz in Micro (below) can you assist by Saturday? An insulation plant makes three types of insulation (types B, R and X). Each is produced on the same machine which can produce any mix of output so long as the daily total weight is no more than 70 tons. The insulation is shipped in trucks from the company loading dock which can process a maximum of 30 trucks per day. The trucks can carry any mix of types B, R and X insulation. A truckload of type B, R and X insulation weighs 1.4 tons, 2.8 tons and 1.9 tons respectively. The insulation carries a flame retarding spray that is currently in short supply and only 75 cans of the spray are available daily. A truckload of type B insulation requires 3 cans of the spray, type R requires 1 can per truckload and type X requires 2 cans per truckload. Demand for each type of insulation is very strong and the company anticipates no problem selling the plant’s entire output. The contribution margin for type B insulation is $1,425 per truckload, whereas for types R and X insulation, the contributions are $1,800 and $1237.50 per truckload, respectively. The company is interested in determining how much of each insulation type it should produce. A. Develop the linear programming formulation for the above problem. Make sure you define and label your variables, clearly show the objective function and the relevant constraints in their algebraic form. (30 points) B. Translate the above into a Solver formulation of the linear programming problem and solve it. Attach the spreadsheets showing the formulations, the answer report, sensitivity report and limits report. (40 points) C. Describe the optimal production policy: (40 points) 1. How much of each insulation type (B, R and X) should be produced? 2. Identify and the slack and binding constraints at the optimal production level. 3. What is the total contribution at this production level? D. Use the appropriate reports from the Solver output to answer the following questions. (60 points) 1. What would you be willing to pay for (i) an extra unit of machine time, (ii) an extra unit of loading dock capacity and (iii) an extra canister of flame retarding spray? Explain your reasoning. 2. Suppose the machine needs downtime for preventive maintenance that will reduce its daily total output by 10%. How will this affect your answers to Part C? Explain your reasoning. 3. Is a likely improvement in the availability of flame retarding spray (10 extra cans per day) affect your answer to Part C? Explain your reasoning. E. The price of type X insulation has increased by $250 per truckload due to demand stemming from a new application. How will this change your answer to Part C? Explain your answer. (30 points) Q2. (200 points) Chuck Raverty is the managing partner of a small boutique consulting firm in which he has four senior partners available to work on four current projects for during the coming month. Chuck has assessed the fit between the skill levels of his colleagues relative to each of the four projects and has rated them on a 0-100 scale. Not surprisingly, the ratings are all fairly high, but there still are significant differences in the quality of fit. The following is a table of the ratings that he has developed: Partner Project 1 2 3 4 Alan 90 80 25 50 Charlie 60 70 50 65 David 70 40 80 85 Robert 65 55 60 75 Time 140 100 170 70 The last row of the table shows Chuck’s assessment of the time that it will take to complete each of the four projects. A. Assume that each partner will be assigned only to one project. What is the assessment of partners to projects that will maximize the sum of the assigned quality scores? Develop and write down the formal mathematical statement of the problem. (40 points). B. Set up the Solver spreadsheet model for the problem above. Use Solver to solve the problem, obtain the relevant reports and interpret your answer. (40 points). C. Support that each of the four partners has only 160 hours of time available in the coming month. Assume that more than one partner can work on a project. What assignment schedule will maximize the sum of the assigned quality scores? As in Part A, develop and write down the formal mathematical statement of the problem. (50 points) D. Set up the Solver spreadsheet model for the problem in Part C. Use Solver to solve the problem in Part C, obtain the relevant reports and interpret your answer. (50 points) E. Suppose that Chuck does not want to assign multiple partners to the same project but is willing to provide an incentive for each partner to work the overtime needed. Based on the solutions obtained in Parts B and D, develop a comparison of the quality levels of the projects that are delivered. Assuming that a point of increased project quality is worth $1,000 to him, what should he be willing to pay for the quality maximizing solution? (200 points).

   Related Questions in Microeconomics

  • Q : Exploitation and the wage rate problem

    Assume a neither firm possessesing both the monopsony power as an employer and market power in its output market, however which can neither wage discriminate nor the price discriminate. In equilibrium, in its labor market for the workers, the following variables the m

  • Q : General law of demand I have problem in

    I have problem in this question based on law of demand. Provide me correct answer of this. Described the circumstances in which the "general law of demand" not hold?

  • Q : Question on free trade Give me answer

    Give me answer of this question. Which of the following arguments comes closest to constituting a legitimate economic exception to the case for free trade? A) the increase-domestic-employment argument B) the cheap-foreign-labor argument C) the diversification-for-st

  • Q : Majority of surviving below the poverty

    In the United States, a mainstream of those living below “the poverty line”: (1) have televisions, automobiles, main appliances, and other amenities possessed only by the wealthy [when anyone] in earlier times and nowadays, only by the wea

  • Q : Importance of study of the model of

    The study of the model of pure competition is very significant since this: (w) explains the behavior of most U.S. firms. (x) gives the underpinnings for supply and demand. (y) helps explain why government economic policy is essential. (z) gives a rati

  • Q : Accumulation of Capital in Market

    The individuals who eventually enable accumulation of capital into a market economy are: (1) consumers. (2) firms. (3) government. (4) savers. (5) capitalists. How can I solve my Economics problem?

  • Q : Income elasticity and inferior goods

    Raises in real income that causes the demands for: (i) inferior goods to shift upward and to the left. (ii) normal goods to shift upward and to the right. (iii) substitute goods to shift upward and to the right. (iv) complementary goods to decline mor

  • Q : Maximizing utility from consumption of

    Given that a MU of French fries of 35 utils and a MU for serving of potato chips at 25 utils, when their respective prices are $1.50 and $.80, the person who wants to maximize utility from the consumption of both of such goods would consume: (i) The similar amount of

  • Q : When is demand more elastic at a price

    Along this demonstrated in below demand curve for DVD games, demand is more elastic at a price of: (w) $10. (x) $6. (y) $1. (z) zero.

    Q : Market Price in intervention Let’s take

    Let’s take a perfectly competitive market in which the market demand curve is provided by Qd = 20 − 2Pd and the market supply curve is provided by Qs = 2Ps. a) Determine the e