(d) A company has three factories. Each factory produces three different products (A, B and C).Factory 1 has a daily production capacity production of 8 units of A, 4 units of B and 8 unitsof C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C.Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The totaldemand for product A is 300 units, for product B is 172 units and for product C is 250 units.The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50.How many days should each factory be operated in order to fill the total demand and thekeep the operating cost at a minimum?(iv)(v)Identify the entering, departıng and pivot variables.Use the simplex method to determine the optimal tableau. Ensure that you explaineach step in the computation.Identify the basic and non-basic variables.(vii) Identify the optimal solution.(vi)

Objective Functions and Constraints: Based on the given details, the objective…

Answered: (d) A company has three factories. Each…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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City Sod is a small business that sells and lays sod (rolled strips of grass). The owner has devised a forecasting procedure based on demand history from previous years plus projection of demand in recent weeks. The forecast for the next six weeks, in labor hours of sod laying, is 850 870 950 910 970 870 CmTently, City Sod has a staff of sod layers consisting of five crew chiefs and 15 laborers. A crew chief lays sod along with the laborers, but also directs the crew. The owner has decided on the following staffing policies: A two-week backlog will be accmnulated before adding staff. Plans are based on a 40 hour work week; overtime is used only to absorb weather or other delays and employee absence or resignations. The ideal crew size is one crew chief and four laborers. Devise a hiring plan for the first three weeks. In your answer, assmne a current backlog of 1,480 labor hours of sod-laying orders. Does City Sod follow a chase-demand or level-capacity strategy of…
At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…
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13. The Bi-Product Company produces two products (A and B) that are similar in terms of labor con- tent and skills required. Company management wishes to "level" the number of employees needed each day so no hiring or layoffs will be required during the year. A complication to this problem is that the number of working days in each quarter varies. Demand Quarter Product A Product B Working Days 1 9,800 14,500 68 2 12,000 30,000 56 3 14,000 19,500 62 4 31,000 25,000 58 Beginning inventory: 2,400 units of Product A 900 units of Product B Inventory holding cost: $10 per unit per quarter (either product) No back orders allowed No variations in size of workforce allowed Output rate=25 units of either product per day per employee a. What daily production rate will be required to meet the demand forecast and yield zero in- ventory at the end of quarter 4? b. How many employees will be required each day? What are the inventory levels each quarter?
A company has the following demand data for the last three years of sales for their popular product B. There are currently 5 workers assigned to the production line, each capable of producing approximately 8 units per month. It is assumed that each month has the same number of production days. They can hire more workers at a hiring and training cost of $800 per worker. If they layoff any workers, the unemployment cost is $2,000 per worker. The product has a standard production cost (labor, material, and overhead) of $300 per unit. The extra cost to produce one unit on overtime is $50 and the maximum overtime is two units per month per worker. They can use inventory but it will cost them $25 per unit per month for any unit in inventory at the end of the month. Failure to meet market demand typically will imply the customer will buy from another supplier, and therefore cost the company $100 in profit. They currently have 0 units in inventory. a. Use the demand data to develop a forecast…
NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.
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1. A major supermarket chain has decided to sub-contract production of ready-to-eat sandwiches to your production plant. Your plant can make three kinds of sand- wiches, each of which take the following amounts of raw ingredients (measured in grams) to produce: Sandwich | Chicken Cheese Lettuce Tomato Bread 45 15 25 10 13 Chicken Salad Chicken Club Cheese and salad 920 0 20 30 Chicken Salad Chicken Club Cheese and Salad 15 10 20 The total amount of time (measured in minutes) to make one of each sandwich is listed below, together with the price that the supermarket will pay to purchase one of each: Sandwich | Time to Make Price 2.8 4.8 1.3 60 90 60 £1.25 £1.65 £0.95 For the sake of this problem you can treat ingredients used and number of sandwiches made as continuous quantities we could perhaps think of this as the average made per day over a longer period, in which case making 100.43 sandwiches per day would still make sense. (a) Suppose that you have 5000g of chicken, 2500g of…
Graphing: Following are the expenses of Office A for the Year 2005Present the data in an appropriate graph.

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