Describe the analysis of simultaneous changes in coefficients of objective function??
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Describe the analysis of simultaneous changes in coefficients of objective function??
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- Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3Use Excel to solve the linear program, optimal solution and objective function value. A political candidate is planning his media budget for an upcoming election. He has $90,500 to spend. His political consultants have provided him with the following estimate of additional voites as a result of the advertising effort: for every small sign placed by the roadside, he will garner 20 additional votes for every larg sign placed by the roadside, he will garner 30 additional votes for every thousand bumper stickers placed on cars, the will garner 15 additional votes for every hundred personal mailings to voters, he will garner 40 additional votes for every radio ad heard in the last month, he will garner 485 additional votes The costs for each of the advertising devices, along with the practical minimum and maximum that should be planned for each, are shown on the following table. How should the candidate plan to spend his campaign money? Advertising Medium Cost…Is 600 the value of the objective function?
- The equation below specifies a function with independent variable x. Determine whether the function is linear, constant, or neither x=2y+5Graph the feasible region for the system of inequalities. 5x+y< -3 x-y > 3Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 3x + 22y subject to 14x + 7y ≤ 35 5x + 5y ≤ 50 (x,y)= f=
- Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 7x + 14y + 4z subject to the following. 3x + 5y + 4z ≤ 30 3x + 2y ≤ 4 x + 2y ≤ 8 (x,y,z)= f=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…In 2013 the president and chief executive officer of McDonalds, Don Thompson, saidthat McDonald’s was considering serving breakfast all day, instead of stopping at10.30.A.M.on weekdays and 11.00 A.M. on weekends. Several owners of McDonald’srestaurants however, point out that offering breakfast 24 hours a day presents twologistical problems. (1)Burgers and other meals need to be cooked at a highertemperature than eggs, so it would be difficult for employees to set the grill at the righttemperature for both foods, and (2) scrambled eggs require employees to continually stir, while hamburgers don’t require this attention. In addition some customers might buy thecheaper breakfast rather than the more expensive lunch or dinner meal.If you were the president and chief executive officer of McDonald’s, discuss how you wouldgo about deciding whether to serve breakfast all day.