An Automobile company uses three types of steel S1, S2 and S3 for producing three types of cars C1, C2 and C3. The steel requirements ( in tons ) for each type of car is give is as shown in the table below; Cars Steel C1 C2 C3 S1 2 3 4 S2 1 1 2 S3 3 2 1 As a management person in this Automobile company, use management mathematics to determine the number of cars of each type which can be produced using 29, 13 and 16 tons of steel of the three types respectively which is available to the company as of now.

An Automobile company uses three types of steel S1, S2 and S3 for producing three types of cars C1, C2 and C3. The steel requirements ( in tons ) for each type of car is give is as shown in the table below; Cars Steel C1 C2 C3 S1 2 3 4 S2 1 1 2 S3 3 2 1 As a management person in this Automobile company, use management mathematics to determine the number of cars of each type which can be produced using 29, 13 and 16 tons of steel of the three types respectively which is available to the company as of now.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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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.
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