Concept explainers
a)
To identify: If there are any binding constraints.
Introduction:
Linear programming:
Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.
b)
To determine: The value of decision variables when the profit on product 3 is changed.
c)
To determine: The value of decision variables when the profit on product 1 is changed.
d)
To determine: The value of decision variables when labor hours are 10 hours less.
e)
To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.
f)
To determine: If the profit per each product increased by 1 will change the decision variables.
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Operations Management
- 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.arrow_forwardAssume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.arrow_forwardDetermine the total weight of this graph's minimum-weight spanning tree.arrow_forward
- do fastarrow_forward6. A dessert shop plans to purchase a new commercial ice cream maker to replace the old one. They are deciding on two models: Model SUPER costs $3,000 for purchase and $1 in average to make one serving of ice cream. Model PRO costs $5,000 for purchase and a lower cost of $0.8 to make one serving of ice cream. The shop is selling $4 per ice cream serving in average. What would be the monthly demand (in servings) to make Model PRO more preferred? Select one: a. at least 16,000 servings b. no more than 10,000 servings c. at least 10,000 servings d. model PRO is always preferred. e. always no preference.arrow_forwardCan I have more details on where does numbers in a) come from: 0.30 × $1.75 - 0.70×$0.5arrow_forward
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- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,