What is the nonlinear programming model (OMEGA) used by Texaco?
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What is the nonlinear programming model (OMEGA) used by Texaco?
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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.Assume 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.How do non-linear system models differ from linear models, and what are the challenges associated with analyzing and controlling them?
- How can we execute the Solver and interpret results from the reports provided by the programGive the logical sequence of steps for formulating and constructing a (structured) LP model.Thinking tools service assembles customized personal computers from generic parts. Formed and operated by part-time Svci students paulette cruz and maureen luis, the company has had steady growth since it started. The company assembles computers mostly at night, using part time students. Paulette and Maureen purchase generic computer parts in volume at a discount from a variety of sources whenever they see a good deal. Thus, they need a good forecast of demand for their computers so that they will know how many parts to purchase and stock. They have compiled demand data for the last 12 months as reported below A. Use exponential smoothing with smoothing parameter a=0.2 to compute the demand forecast for january (period 13) B. Use exponential smoothing with smoothing parameter a=0.5 to compute the demand forecast for january (period 13). C. Paulette believes that there is an upward trend in the demand, the initial forecast is 37 and the trend over this period is 0 units. Use…
- LPM Corp. produces and sells two types of frozen burgers, Turkey Burgers and Veggie Burgers. In the most recent month, the firm sold 12,000 Turkey Burgers and 8,000 Veggie Burgers. Turkey Burgers sold for $14.00 per box and variable costs were $7.40 per box. The Veggie Burgers sold for $16.00 per box and variable costs were $8.25 per box. The fixed expenses of the entire company were $41,160. If the sales mix were to shift toward the Turkey Burgers product line with total sales volume remaining constant at 20,000, the overall break-even point for the entire company:Please show how to solve bSalt & Pepper & Co (Salt & Pepper) is a firm of Chartered Certified Accountants which has seen its revenue decline steadily over the past few years. The firm is looking to increase its revenue and client base and so has developed a new advertising strategywhere it has guaranteed that its audits will minimise disruption to companies as they will not last longer than two weeks. In addition, Salt & Pepper has offered all new audit clients a free accounts preparation service for the first year of the engagement, as it is believed that time spent on the audit will be reduced if the firm has produced the financial statements. The firm is seeking to reduce audit costs and has therefore decided not to update the engagement letters of existing clients, on the basis that these letters do not tend to change much on a yearly basis. One of Salt & Pepper’s existing clients has proposed that this year’s audit fee should be based on a percentage of their final pre-tax profit. The…
