There are several types of linear-programming models that exhibit a special structure which can be exploited in the construction of efficient algorithms for solutions to an organisation’s challenges Efficient production planning is a key condition for a production system’s success, which considers the real-world resource limitations such as budget, time and labour. A study is being conducted to develop linear and goal programming models in an attempt to optimise the daily production outputs of your organisation in producing various product mixes. The two goals considered are: Minimising overtime, and maximising the utility of machines used in the production process. please answer the two bolded ones
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There are several types of linear-programming models that exhibit a special structure which can be exploited in the construction of efficient algorithms for solutions to an organisation’s challenges
Efficient production planning is a key condition for a production system’s success, which considers the real-world resource limitations such as budget, time and labour. A study is being conducted to develop linear and goal programming models in an attempt to optimise the daily production outputs of your organisation in producing various product mixes. The two goals considered are: Minimising overtime, and maximising the utility of machines used in the production process.
please answer the two bolded ones
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.Macnamara Corporation has two manufacturing departments--Casting and Finishing. The company used the following data at the beginning of the year to calculate predetermined overhead rates: Casting Finishing Total Estimated total machine-hours (MHs) 1,000 4,000 5,000 Estimated total fixed manufacturing overhead cost $ 4,800 $ 8,800 $ 13,600 Estimated variable manufacturing overhead cost per MH $ 1.80 $ 2.90 During the most recent month, the company started and completed two jobs--Job F and Job M. There were no beginning inventories. Data concerning those two jobs follow: Job F Job M Direct materials $ 11,500 $ 9,000 Direct labor cost $ 18,400 $ 7,400 Casting machine-hours 700 300 Finishing machine-hours 1,600 2,400 Assume that the company uses departmental predetermined overhead rates with machine-hours as the allocation base in both production departments. The manufacturing overhead applied to Job F is closest to: $4,620…Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.
- Answer the 3 subparts in 2 sentences each. For each of the following scenarios, please identify the most appropriate Operations Research model. RPI is facilitating a mentorship program and wants to assign undergraduate students with graduate student mentors. There are more undergraduate students than graduate students; therefore, each graduate student can be assigned at most 3 undergraduate student mentees. The goal is to maximize assignment satisfaction. The children’s game Snakes and Ladders is played in a sequential fashion. If a player is on a given square, the player can move to a different square based on selecting a card. This is a game of chance and there is no strategy in the game. The goal is predict who will win the game given the current location of both players. The US government wants to connect all major US cities with high-speed internet lines, which requires laying lines below ground. The US government wants to use the least amount of high-speed lines to connect…Answer the 3 subparts in 2 sentences each. For each of the following scenarios, please identify the most appropriate Operations Research model. RPI is facilitating a mentorship program and wants to assign undergraduate students with graduate student mentors. There are more undergraduate students than graduate students; therefore, each graduate student can be assigned at most 3 undergraduate student mentees. The goal is to maximize assignment satisfaction. The children’s game Snakes and Ladders is played in a sequential fashion. If a player is on a given square, the player can move to a different square based on selecting a card. This is a game of chance and there is no strategy in the game. The goal is predict who will win the game given the current location of both players. The US government wants to connect all major US cities with high-speed internet lines, which requires laying lines below ground. The US government wants to use the least amount of high-speed lines to connect…Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…
- Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…
- Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used, whiles rival…