A manufacturing company produces products at three factories designated as numbers 1, 2, and 3. The...

A manufacturing company produces products at three factories designated as numbers 1, 2, and 3. The products are shipped to two demand destinations designated as A and B. For the coming month, production will be:

Factory 1 = 3,000 units; Factory 2 = 2,500 units; and Factory 3 = 4,200 units. And for the coming month, demand will be:

Destination A = 4,500 units and Destination B = 6,000 units.
Which of the following is a correct linear programming constraint for this model?
1. X2A+X2B=2500
2. X2A + X2B ≤ 2500
3. X1B +X2B +X3B =6000
4. X1B +X2B +X3B ≤6000
5. X1B + X2B + X3B ≥ 6000

Expert Solution

orchestra answered 2 years ago

A company has three factories in Chicago, Kansas City, and Houston where it produces its products...

A company has three factories in Chicago, Kansas City, and Houston where it produces its products and from where it can weekly supply its three distribution centers located in New York, Los Angeles, and Atlanta. The supply capacities at the three factories, the demand requirements at each of the three distribution centers, and the transportation costs in $ per ton from each factory to each distribution center are shown in the table below. Formulate a linear programming (LP) model of...

A manufacturing company produces three products. All products need to be processed on machines. For the...

A manufacturing company produces three products. All products need to be processed on machines. For the production times, product 1 uses 15 minutes per unit, product 2 uses 17 minutes per unit and product 3 uses 20 minutes per unit. The total regular machine time is 2500 minutes per day. The daily demand of product 1 is between 150 to 200 units and that of product 2 is no more than 55 units and that of product 3 is no...

Question 4 Marin Products produces three products — DBB-1, DBB-2, and DBB-3 from a joint process....

Question 4 Marin Products produces three products — DBB-1, DBB-2, and DBB-3 from a joint process. Each product may be sold at the split-off point or processed further. Additional processing requires no special facilities, and production costs of further processing are entirely variable and traceable to the products involved. Key information about Marin's production, sales, and costs follows. DBB-1 DBB-2 DBB-3 Total Units Sold 12,000 25,000 26,000 63,000 Price (after addt’l processing) $ 50 $ 35 $ 60 Separable Processing...

Marin Products produces three products — DBB-1, DBB-2, and DBB-3 from a joint process. Each product...

Marin Products produces three products — DBB-1, DBB-2, and DBB-3 from a joint process. Each product may be sold at the split-off point or processed further. Additional processing requires no special facilities, and production costs of further processing are entirely variable and traceable to the products involved. Key information about Marin's production, sales, and costs follows. DBB-1 DBB-2 DBB-3 Total Units Sold 15,000 24,000 32,000 71,000 Price (after addt’l processing) $ 70 $ 65 $ 90 Separable Processing cost $...

A particular mattress company has three factories (1,2,3), each of which produces three types of mattresses:...

A particular mattress company has three factories (1,2,3), each of which produces three types of mattresses: (1) spring, (2) foam, and (3) hybrid. In the matrix ? = [ 80 50 25 45 110 60] ??? represents the number of mattresses of type ? produced at factory ? in one day. Find the production levels if production increases by 15%.

A manufacturing company produces two products, which has the following information: Characteristic Product 1 Product 2...

A manufacturing company produces two products, which has the following information: Characteristic Product 1 Product 2 Profit/unit $4 $2 Dept. A hours/unit 1 1 Dept. B hours/unit 2 4 Last month’s production schedule used 400 hours of labor in department A and 950 hours of labor in department B. The management has been experiencing problems during the past six months because of variable monthly department workload amounts. Management would like to develop a production schedule for the coming month that...

A soft drink manufacturing company has 3 factories - one in Orlando, one in Tampa, and...

A soft drink manufacturing company has 3 factories - one in Orlando, one in Tampa, and one in Port St. Lucie - which supply soft drink bottles to 3 warehouses located in the city of Miami. The associated per-unit transportation cost between the factories and the warehouses is provided in the table below. Transportation Costs of Factories ($): Factories / Warehouses W1 W2 W3 Orlando 6 4 5 Tampa 7 6 5 Port St. Lucie 5 7 6 The factory...

A company has three factories in different locations. The disposal values of the factories are zero....

A company has three factories in different locations. The disposal values of the factories are zero. The following information has been provided for each factory: Factory A B C £m £m £m Initial investment 40 70 100 Operating profit of factories before depreciation per annum: Year 1 20 20 60 Year 2 20 20 20 Year 3 2 20 10 Year 4 0 37 15 Depreciation is based on the straight-line method. The cost...

Morelli Electric Motor Corporation manufactures electric motors for commercial use. The company produces three models, designated...

Morelli Electric Motor Corporation manufactures electric motors for commercial use. The company produces three models, designated as standard, deluxe, and heavy-duty. The company uses a job-order cost-accounting system with manufacturing overhead applied on the basis of direct-labor hours. The system has been in place with little change for 25 years. Product costs and annual sales data are as follows: Standard Model Deluxe Model Heavy-Duty Model Annual sales (units) 19,000 1,500 9,400 Product costs: Raw material $ 18 $ 33...

1) Baltimore Furniture Inc. owns two factories, each of which produces three types of tables –...

1) Baltimore Furniture Inc. owns two factories, each of which produces three types of tables – the deluxe, medium and the standard. The company has a contract to supply tables to a newly built hotel in downtown Washington DC comprising of at least 12 deluxe tables, 8 medium tables and 24 standard tables. Each factory produces a certain number of tables during each hour it operates. Factory 1 produces 6 deluxe tables and 2 medium tables. Factory 2 produces 2...

Question