A plant is being built to manufacture two product families A and B. The facility must produce 100,000 units of each family per year. Three technologies are available. Technology one costs $125,000 per system per year, and a system can produce 50,000 units of product A, or 25,000 units of product B. Technology two costs $65000 per year and can produce 45,000 of either product per year. A third technology exists that can only produce product B. The system could produce all 100,000 units for a cost of $180,000 per year. A. Find a good heuristic solution to the problem by first relaxing the integer restriction on purchasing processes and then rounding up the resultant acquisition variables. B. Other than expected cost, what factors should be considered?
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- A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and at least 40 units 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit. A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and each brand Y capsule costs P9.00, how many capsules should the patient take each day to minimize the costs?You have two design options for your new line of high-resolution monitors for Computer-Aided Design (CAD)workstations. The production run is for 110,000 units. Design option A has a .90 probability of yielding 65good monitors per 100 and a .10 probability of yielding 70good monitors per 100. This design will cost $1,000,000. Design option B has a .80 probability of yielding 65good units per 100 and a .20 probability of yielding 60good units per 100. This design will cost $1,350,000. Good or bad, each monitor will cost $75. Each good monitor will sell for $150. Bad monitors are destroyed and have no salvage value. We ignore any disposal costs in this problem. Demonstrate how decision trees can be used in order to choose the design option based on the above situation. Calculate the expected monetary value (EMV) of each option and determine which option you will propose.A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.
- a) Suppose you walk into a large supermarket at 2 am with a friend. Your friend says, "I can't believe that these stores stay open all night. Only one out of fifteen checkout lines is open. There can't be more than ten shoppers in this store. It just doesn't make any sense for this store to be open all night." What conditions must be true for it to be to the advantage of the supermarket to stay open all night? b) Your friend has a large garden and grows fresh fruit and vegetables to be sold at a local "farmer's market." Last year your friend was the only worker in the garden, without any additional workers. However, this year your friend hired a worker and production more than doubled. He comments "Next summer, I think I'll hire another two workers (so total workers including myself would go up from 2 to 4) and my output should again more than double". Is it likely that he could hire more workers and always continue to reap greater than proportional increases in production? Why?Tribal Systems, Inc., is opening a new plant and has yet todecide on the type of process to employ. A labor-intensiveprocess would cost $10,000 for tools and equipment and $14 for labor and materials per item produced. A more au-tomated process costs $50,000 in plant and equipment but has a labor/material cost of $8 per item produced. A fullyautomated process costs $300,000 for plant and equipmentand $2 per item produced. If process selection were basedsolely on lowest cost, for what range of production wouldeach process be chosen?Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy. b.) Compute the costs of the Level Strategy c.) Compare the costs of the two strategies. Which one is superior?
- Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy.Consider a model in which two products, x and y, are produced. There are 100 pounds of material and 80 hours of labor available. It requires 2 pounds of material and 1 hour of labor to produce a unit of x, and 4 pounds of material and 5 hours of labor to produce a unit of y. The profit for x is Php150 per unit, and the profit for y is Php250 per unit. (round off your answer to the nearest unit) a. Construct a linear programming model b. How many x and y will be produced to achieve the maximum profit. c. How much is the maximum profit in the problem.Spartan Castings must implement a manufacturing process that reduces the amount of particulates emitted into the atmosphere. Two processes have been identified that provide the same level of particulate reduction. The first process is expected to incur $350,000 of fixed cost and add $50 of variable cost to each casting Spartan produces. The second process has fixed costs of $150,000 and adds $90 of variable cost per casting.a. What is the break-even quantity beyond which the first process is more attractive?b. What is the difference in total cost if the quantity produced is 10,000?
- In a job shop, effective capacity is only 43 percent of design capacity, and actual output is 71 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity?a. The Design Capacity needed to achieve the required actual job outputs = (round to whole number)b. The Effective Capacity needed to achieve the required actual job outputs = (round to whole number)Godo Q- Joe owns a business with two separate departments. Department A produces $100,000 of income and Department B incurs a $60,000 loss. Joe participates for 550 hours in Department A and 100 hours in Department B. He has full-time employees in both departments. and why? a. If Joe elects to treat both departments as a single activity, he cannot offset the $60,000 loss against the $100,000 income. b. Joe may not treat Department A and Department B as separate activities because they are parts of one business. c. If Joe elects to treat the two departments as separate activities, he can offset the $60,000 loss against the $100,000 income. d. If Joe elects to treat both departments as a single activity, he can offset the $60,000 loss against the $100,000 income. e. None of the above.1. Power Notebooks, Inc. plans to manufacture a new line of notebook computers. Management is trying to decide whether to purchase the LCD screens for the computers from an outside supplier or to manufacture the screens in-house. The screens cost $100 each from the outside supplier. To set up the assembly process required to produce the screens in-house would cost $100,000. The company could then produce each screen for $75. The number of notebooks that eventually will be produced (Q) is unknown at this point. a. Set up a spreadsheet that will display the total cost of both options for any value of Q. Use trial-and-error with the spreadsheet to determine the range of production volumes for which each alternative is best. b. Use a graphical procedure to determine the break-even point for Q (i.e., the quantity at which both options yield the same cost). 2. Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two…