Use the simplex method to solve the linear programming problem.z = 900x1 +500x2 + 300x3X2 + X3 < 1302x1 + 3x2 + 4x3 3400Maximize+subject toX12x1 + X2 + X3< 180X1 20, x2 2 0, X320......Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A. The maximum iswhen x1 =,X2 =, X3 =, s1 =|, S2 =andS3%3D%3D=O B. There is no maximum.

Max Z = 900 x1 + 500 x2 + 300 x3 subject to x1 + x2 + x3 ≤ 130 2 x1 + 3 x2…

Answered: Use the simplex method to solve the…

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...

See similar textbooks

Similar questions

Find the dual of this problem
WK Qu. 7-11 A firm has prepared the following binary... A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 35x1 + 25x2 +15x3+ 30x4 s.t. 7x1 + 8x2 +7x3 + 13x4 ≤ 18 [Constraint 1} + x4 ≥ 2 [Constraint 2} X1 + x2 + x3 X1 + X2 ≤ 1 [Constraint 3} X1 + X3 ≥ 1 [Constraint 4) X2=X4 [Constraint 5) 1, if location j is selected xj = 0, otherwise Solve this problem to optimality and answer the following questions: a. Which of the warehouse locations will/will not be selected? Location 1 will Location 2 will Location 3 will Location 4 will be selected not be selected Net present value be selected not be selected b. What is the net present value of the optimal solution? (Round your answer to the nearest whole number.) 50 c. How much of the available capital will be spent (Hint: Constraint 1…
Maximize Z = x₁ + x₂, subject to X₁ X₂ ≤-3 2x₁ + 7x₂ ≤ 4 and x₁ ≥ 0, x₂ ≥ 0.
Find the prime factorization of 269875.
For your next 10k race of the athletics season, you consider competing in either Sheffield, Cardiff, or Birmingham. After considering results from past years and the three different routes, you estimate your prize money, which will also depend on your form on the day. These estimated prizes are shown in the following table: Good form Average form Bad form 0 Sheffield 1000 Cardiff 700 Birmingham 800 400 500 600 200 100 Which condition must a satisfy such that Birmingham is the optimal city to go compete, according to the optimism-pessimism rule?
Analyze algebraically what special case in simplex application is present in each of the LP model below. Give an explanation to support your answer. a) Maximize z = 4x1 + 2x2 Subject to: 2x1 - x2 ≤ 2 3x1 - 4x2 ≤ 8 x1, x2 ≥ 0b) Maximize z = 3x1 + 2x2 Subject to: 4x1 - x2 ≤ 8 4x1 + 3x2 ≤ 12 4x1 + x2 ≤ 8 x1, x2 ≥ 0
Find the dual form
max TR = 8x1 + 10x2 subject to 0.5x; s0 8x: s 32 5x: 2 10 X 20 G-1, 2) - XI + 4x, + Calculate the primal problem solution. You are to provide numeric values for the xj, s, and TR.
Based on the graph write a sales pitch for the roller coaster.
with the information given draw a graph, On the x-axis, you would have the number of units sold (from 0 to 800,000 in increments of 100, 000) and on the y-axis, you would have the dollar amount (from 0 to $3,200,000 in increments of $ 400,000). Draw a line from the origin with a slope equal to the variable cost per unit ($2.5) to represent total variable costs. Draw a horizontal line at $600,000 to represent total fixed costs. The sum of these two lines gives the total cost line. Draw another line from the origin with a slope equal to the selling price per unit ($4) to represent total sales. The point where the total sales line intersects the total cost line
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…
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.

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Business in Action

Operations Management

ISBN:

9780135198100

Author:

BOVEE

Publisher:

PEARSON CO

Purchasing and Supply Chain Management

Operations Management

ISBN:

9781285869681

Author:

Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:

Cengage Learning

Production and Operations Analysis, Seventh Editi…

Operations Management

ISBN:

9781478623069

Author:

Steven Nahmias, Tava Lennon Olsen

Publisher:

Waveland Press, Inc.

SEE MORE TEXTBOOKS

Use the simplex method to solve the linear programming problem. Maximize z = 900x, + 500x2 + 300x3 X2 + X3 s 130 2x1 + 3x2 + 4x35 400 + subject to X1 2x1 + X2 + Х35180 X1 20, x2 2 0, x320.