Question

In: Advanced Math

A company owns two factories A and B that produce 3 different types of appliances dishwashers,...

A company owns two factories A and B that produce 3 different types of appliances dishwashers, refrigerators and ovens. Each day factory A operates it produces 80 dishwashers, 10 refrigerators and 50 ovens at a cost of $10,000 per day. Each day factory B operates it produces 20 dishwashers, 10 refrigerators and 20 ovens at a cost of $20,000 per day. The company has to fill an order of at least 1600 dishwashers, 500 refrigerators and 1900 ovens. How many days should they operate each factory to fill the orders and minimize cost? What is the minimum cost?

Solutions

Expert Solution

We model this problem to a linear programming problem and then solve it accordingly using the graphical Method.


Related Solutions

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...
Two factories located in different cities, owned by the same organization (ABC Corp), produce the identical...
Two factories located in different cities, owned by the same organization (ABC Corp), produce the identical product. The product they make is a specialized all-terrain vehicle. In 2002, based on productivity data from a random sample of workers, management felt the average labor productivity of the two plants could be improved. So, both plants underwent identical process improvements through 2003. In 2004, the worker productivity was gauged for both plants using the same set of workers. Factory A Before Factory...
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1...
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1 must be at least 50% of A and sells for $65 per kilo gram. Fertilizer 2 must be at least 70% of B and sells for $48 per kilogram. The price of martial A is $10 per 100 kilo grams and the price of martial B is $14 per 100 kilo grams if they purchased over 10,000 kilo gram the price will be reduced...
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1...
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1 must be at least 50% of A and sells for $65 per kilo gram. Fertilizer 2 must be at least 70% of B and sells for $48 per kilogram. The price of martial A is $10 per 100 kilo grams and the price of martial B is $14 per 100 kilo grams if they purchased over 10,000 kilo gram the price will be reduced...
The ACME Umbrella Company is deciding between two different umbrella factories. Both factories will cost $500,000...
The ACME Umbrella Company is deciding between two different umbrella factories. Both factories will cost $500,000 to get started. However, the cash flows for each factory will depend on whether the next five years are rainier than average or sunnier than average. Factory A will have cash flows of $130,000 per year for the next five years if the weather is sunnier than average. But if it is rainier than average the cash flows will be $150,000 per year for...
Scenario: The company intends to sell European made kitchen appliances online. These include dishwashers, stoves/ stove...
Scenario: The company intends to sell European made kitchen appliances online. These include dishwashers, stoves/ stove tops, ovens, exhaust fans/ canopies/ range hoods, refrigerators, freezers, garbage disposals, sinks and taps, microwaves. Initial market take-up has not been as good as you expected. a. As a Marketing Manager, What will you do? b. Senior management have asked for a report. What information will you need to collect, analyse and document? c. What actions will you take? Provide reasons for your answer....
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...
The A Company and the B Company are the only two firms that produce and sell...
The A Company and the B Company are the only two firms that produce and sell a particular product. The inverse demand curve for their product is: P=19-0.5Q where Q=QA+QB The companies have identical cost functions: TCA=3+QA TCB=3+QB a) Suppose that the two companies are owned by Cournot duopolists. Find the output produced by each firm and the market price. Very briefly explain the steps you take in your solution. b)Instead of the Cournot assumption, assume Company A sets its...
Companies A, B, and C produce 20%, 30%, and 50%, respectively, of the major appliances sold...
Companies A, B, and C produce 20%, 30%, and 50%, respectively, of the major appliances sold in a certain area. In that area, 4% of the company A appliances 5 1/2% of the company B appliances, and 1% of the company C appliances need service within the first. year. Suppose a. defective appliance is chosen. at. random; find the probability that it was manufactured by Company B.
crows ltd a manufacturing company. they produce a number of different types of products. in recent...
crows ltd a manufacturing company. they produce a number of different types of products. in recent years one of their main products is incurring loss and they are considering to discontinue it. do you agree with the decision? explain what key factors they need to consider in arriving at the decision.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT