In a standard maximum linear programming problem, there are 5 decision variables used in the constraints and the system ofequations in the simplex method uses a total of 9 variables. (z is not counted as a variable here.) Find the followinga.) The number of constraints in the problemb.) The number of non-basic variables in the initial simplex tableauc.) The number of basic variables in the initial simplex tableau

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Answered: In a standard maximum linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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this is a linear programming problem. one image is the required information and the other image is the question.
Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD sets 42-in. LCD sets 42-in. plasma sets 50-in. plasma sets profit $ 20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly time…
There are 5 apples, 6 bananas, and 10 grapefruits in the produce section of a grocery store. The apples look identical. The bananas look identical. The grapefruits look identical. In how many ways can a fruit basket be filled with these fruits. The only constraint is the basket is not allowed to be empty. How does this question change if all the fruits looked different? In how many ways can the basket be filled then?
Acme Block Company has orders for 80 tons of concrete blocks at three suburban locations as follows: Northwood-25 tons Westwood-45 tons Eastwood-10 tons Acme has two plants, each of which can produce 50 tons per week. Delivery cost per ton from each plant to each suburban location is as follows: Northwood Westwood Eastwood Plant 1 Plant 2 1 24 30 Which one is a correct constraint? A. X11+X12+X13 = 10 OB. X11+X12+X13 ≤ 25 OC X11+X12+X13 = 45 OD. X₁1+X12+X13 ≤ 50 30 40 ہے 40 42
A garment factory makes blouses and dresses. Each blouse gives a profit of$4, while each dress gives a profit of $5. They can sell at most 200 dresses. The number of dresses must be at least 30% of the total number of garments made. Each garment spends time(minutes) on three machines as follows:a) Show the decision variables b) Show the objective functionc) Show the constraints in standard form (i.e. suitable for using Excel’s Solver) d) Solve the linear programming problem by graphing
Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 390 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 25 mg of calcium, 2.5 mg of iron, 2 mg of vitamin C, and 6 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements of calcium, iron, and vitamin C are met? Minimize C = subject to the constraints calcium iron vitamin C x ≥ 0 y ≥ 0
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