Consider the following problem (P):Minimize Z = -5x1 + 4r22.13(1)(2)subject to12 + 4r3 <32л, + 62з < 103x1T1 2 0, x2 2 0, x3 > 0.Use the tabular form of the simplex method to determine an optimal solution for (x1, x2, X3)and the associated optimal value for Z. In each simplex tabular, identify the current basicsolution, the corresponding solution for (r1, r2, T3), and the associated value for Z. Define allvariables clearly.

GivenMIN Z = -5x1 + 4x2 - 2x3subject tox1 - x2 + 4x3 <= 33x1 - 2x2 + 6x3 <= 10and x1,x2,x3…

Answered: Minimize Z = -5x1 + 4r2 subject to 213…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Q1: convert the following form primal to dual MIN Zx = X1 + 2 X2 subject to 2 X1 + 4 X2 ≤ 160 3 X1 - X2 = 30 4 X1 ≥ 10 and X1,X2≥0;
Consider the points (0, 0), (1, 1), and (2, 3). Formulatean NLP whose solution will yield the circle of smallestradius enclosing these three points. Use LINGO to solvethe NLP.
Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3
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1 3 4. Give an example of a linear transformation where the image is span (2, 1
1. Suppose the following table gives the selling prices in tens of thousands of dollars for 20 different homes sold during a month. 60.5 113.5 79.0 475.5 75.0 70.0 125.5 150.0 100.0 125.5 90.0 175.5 89.0 130.0 111.5 100.0 50.0 340.5 100.0 525.0 a) Find the mode, median and mean of the selling prices of the first two columns b) Find the range, variance and standard deviation of the selling prices of the first two columns c) Find the ninety-fifth percentile, the seventh decile, and the first quartile of the selling prices of homes by taking into consideration the whole table of values. d) Find the percentiles for the selling prices 75.0, 90, 125.5 and 340.5 by taking into consideration the whole table of values. e) Construct a boxplot of the selling prices in the table above by following the instructions below: - First, find the minimum, maximum, first quartile, median and third quartile of the data - Second, draw roughly the boxplot showing the location of each value found in the…
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2. Suppose f(x)=7x-2 is a function. Find the domain and range of f(x).
Given the following AVL Tree: Delete the node 17 and make the tree balanced. Construct a (2,4) Tree with the values 15, 10, 5, 7, 11, 51, 89, 17, 25
The image shows the graph of y = |+2| in black and y = 3 in red. Use the graph to solve the inequality |x+2<3. i. On the graph, shade the parts of the x-axis showing where |+2| < 3. 10+ 9 10 -9 -8 -7 -6 -5 -4 -3 -2 Clear All Draw: 1 8 7 6 5 2 4 6 8 9 16 1 -2+ کہ وہ کر: 1 ii. Write the shaded part of the x-axis using interval notation:
1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.
3. Hoosier Gasoline Company, or HoosCo as they are known, produces two blends of gasoline, regular and premium, by mixing three different types of oil, indi- cated by Types 1, 2, and 3. Each type of oil comes in barrels and has its own costs and octane readings, which are given below. Type I Type 2 Type 3 Cost/Barrel $45 $35 $20 Octane Rating Regular gasoline Premium gasoline Regular gasoline 93 91 87 To produce each blend of gasoline, we must combine these oils so as to meet the following requirements. Premium gasoline Maximum Available 10,000 15,000 20,000 At least 25% Type 1 At least 35% Type 2 At most 30% Type 3 At least 30% Type 1 At least 45% Type 2 At most 20% Type 3 There are also sales prices, average octane rating requirements for the gasolines, and minimum requirements in production of each blend. Average Octane Rating Sales Price 89 91 $65 $75 Minimum Demand 15,000 barrels 12,500 barrels How much of each type of gasoline should be produced to satisfy all require- ments and…

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