Use the simplex method to solve the linear programming problem.Maximize z= 16x₁ +5x₂subject to: 4x₁ + 2x₂ ≤9X₁ + 3x₂ ≤8with x₁ 20, x₂ 20Select the correct choice below and, if necessary, fill in the answer box to complete your choice.OA.23x₂ = $₁ = 0, and s2 = 4GELDThe maximum is when x₁ =(Reduce any fractions to lowest terms.)OB. There is no maximum solution to this linear programming problem.

LP helps in identifying decision variables that can be expressed as linear functions of the…

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...

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Q2\ Solve the following linear programming problem by using the simplex method: Маx Р 3 Зх + 2x2 + Xз subject to: 2x + X2+ X3 <150 2х1 +2 х +8 х;<200 2x1 + 3x2 + X3 320 X1, X2 , X320
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 + 9 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 + 6 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. X²-X+9+²+2Y+6 min s.t. X+Y X, Y 20 = 9 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to…
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C = 10x + 6y + 9z subject to 9x + 11y + 18z ≥ 69 12x + 14y + 4z ≥ 138 and x ≥ 0, y ≥ 0. a- What is the optimal value of x? b-What is the optimal value of y? c- What is the optimal value of z? d- What is the minimum value of the objective function?
Maximize Z = x₁ + x₂, subject to X₁ X₂ ≤-3 2x₁ + 7x₂ ≤ 4 and x₁ ≥ 0, x₂ ≥ 0.
The sketch of a feasible region is given below, which point is not a point consistent with a production option for this programming problem? (0,10) (0,8) (0,0) O (0,6) O (4,0) O (4,2) O (6,0) (2,8) (6,4) (6,0) 27 (10,0) They are all in the feasible region.
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
1 3 4. Give an example of a linear transformation where the image is span (2, 1
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Centerville Bikes and Stuff (CBS) sells motorcycles and accessories. The number of helmets sold by CBS per week for the past six weeks follows. Week 1 2 3 Value 18 13 (a) Construct a time series plot. 20T 18 16- 14- Time Series Value O Week 1 2 3 4 5 6 What type of pattern exists in the data? O The data appear to follow a cyclical pattern. O The data appear to follow a trend pattern. 8 6 O The data appear to follow a seasonal pattern. O The data appear to follow a horizontal pattern. Week 1 2 0 1 3 4 5 6 18 13 15 12 (b) Develop the three-week moving average for this time series. (Round your answers to two decimal places.) Time Series Value 16 14 18 + 2 13 15 4 5 6 15 12 16 3 Compute MSE. (Round your answer to two decimal places.) MSE = What is the forecast for week 7? 12 16 4 14 Week (c) Use a = 0.2 to compute the exponential smoothing values for the time series. Time Series Value 5 14 Forecast 6 Forecast 7 20 18 16 14 12 WE 10 2 + 7 @o 20 18 0 1 2 3 4 Week 5 6 00 0 1 2 3 4 5 Week 6 7…
FIND THE OPTIMUM SOLUTION TO X= Y= MAX Z=
If you were to graph two quadratic functions on the same xy-plane, how many intersectionpoints could there be
Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New Yeti. The Monsterville plant produces according to eM(x1,x2) = min{xX1,2x2} and the New Yeti plant produces according to eNY(x1,x2) = min{2x1,x2}, where xi and x2 are the inputs. iii. How much of each input will the firm need in order to produce 20 units electricity in the New Yeti plant? iv. Assume now that Monsters, Inc. decides to produce 40 units of electricity and it can split production in any manner between the two plants. Is the technology available to this firm convex or concave? Explain your answer.

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Use the simplex method to solve the linear programming problem. Maximize z=16x₁ +5x₂ subject to: 4x₁ + 2x₂ ≤9 X₁ +3x₂ ≤8 with x₁ 20, x₂ 20