Solver can get stuck at a global optimum and never find the local optimum
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Solver can get stuck at a global optimum and never find the local optimum.
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- Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = X2 − X + 4 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) = Y2 + 2Y + 3 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min s.t. = 9 X, Y ≥ 0 (b) Use Excel Solver or LINGO to find the…Consider the following transportation problem (cost in rupees). Find the initial solution by using Vogel’sApproximation method and perform optimality test using MODI MethodMadison Company is a large manufacturer and distributor of cake supplies. It is based in Chicago (Headquarters) and Trinidad. It sends supplies to firms throughout the United States and the United Kingdom . It markets its supplies through periodic mass mailings of catalogues to those firms. Its clients can make orders over the phone and Madison ships the supplies upon demand. The main competition for Madison’s in the United States comes from one U.S. firm and one Canadian firm. A British firm has a small share of the U.S. market but is at a disadvantage because of its distance. The British firm’s marketing and transportation costs in the U.S. market are relatively high. a) Madison Company plans to penetrate either the Canadian market or two other Caribbean Countries (Jamaica and Haiti). What factors deserve to be considered in deciding which market is more feasible?
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- Direction: Solve the LP models using Graphical Solution. A dietitian has been asked by the athletic director to develop a snack that athletes can use in their training programs. The dietitian intends to mix two seperate products to make the snack. The following information (on the table below): Product A costs Php20 per ounce, while Product B costs Php10 per ounce. Determine the optimal quantities of each product that will give the minimized cost.During the year, Brownout Company experienced the following power outages:Number of Power Outages Per Month Number of Months 0 3 1 2 2 4 3 3 12Each power outage results in out of pocket costs of P400. For P500 per month, the company can lease an auxiliary generator to provide power during outages. If the company leases an auxiliarygenerator next year, the estimated savings (or…What combination of x and y will yield the optimum for this problem? Maximize $10x + $4y, subject to (1) 5x + 3y ≤ 15 and (2) 3x + 6y ≤ 18 and (3) x, y ≥ 0.