g Enabled: Chapter 5 What-If Analysis for Linear . ASavedHelpSaveBased on the following sensitivity report, what would be the change in the objective function value if the objective function coefficlentfor Product_2 increases to 22?Varlable CellsFinalObjectiveAllowableAllowableCellReduced CostCoefficientIncreaseDecreaseNameValueProduct_1Product 2Product_31E+30$B$2$B$3-21017510141$B$4-1.5861E+30ConstraintsFinalShadowConstraintAllowableAllowableCellNameValuePriceR.H.SideIncreaseDecreaseSH$9Resource A1001E+301001E+30275700SH$10Resource_B525800SH$11Resource C7001.75700366.6666667(Round your answer to the nearest whole number.)Change in the objective function value< Prev5 of 5Next

According to the given information, For the product_2, Final value = 175 Objective coefficient = 10…

Answered: Based on the following sensitivity…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any machine is 600 widgets. The following table gives the pertinent data of the situation. Machine Setup cost($) Production cost/unit($) Capacity (units) 1 300 2 650 2 100 10 850 3 200 5 1250 If we want to formulate the problem as an ILP/BIP, which of the following would be the appropriate objective function? Your answer: h O Min. Z = 300x₁ + 100x₂ + 200x3 + 2x₁ + 10x₂ + 5x3 O Min. Z = 2x₁ + 10x2 + 5x3 Min. Z = 2x₁ + 10x2 + 5x3 + 300y₁ + 100y2 + 2003 + Min. Z = 300y₁ + 100y2 + 2003 O
New program: Objective function: Maximize Z = 2x, + xz + 3x3 + Os, + Os, + Os3 Subject to: X + x2 + 2x, + 1s, = 25 (1) X + X, + 1s2 = 8 (2) X2 + X3 + 1s, = 10 (3) X1, X2, X3, 15,, 1s2,1s, 20
Discuss the impact of the changes in the following to your optimal solution: objective function coefficient resources or right-hand-side values
What should be the corresponding objective function for the LP model in this problem? Maximize z = 2x + y Maximize z = x + 2y Minimize z = x + 2y Minimize z = 2x + y
MJ Mining Company owns three mines and has three different types of ores that is mined. For each ore, the number of tons per day available from each mine and the minimum number of tons required to fill orders are given in the following table. ORE TYPE Iron Lead Nickel Daily Costs 10x + 40y + 15z 0x + 15y + 25z Mine 1 x 10 Minimize Cost = 7100x + 7400y+6400z subject to: 20x+10y+0z 20 $7,100 Let x,y, and z represent the number of days to run Mines 1, 2, and 3 respectively. Type the objective function and the left hand side of each constraint in the following answer boxes. Number of days to run Mine 1 is Number of days to run Mine 2 is Minimum cost is $ Mine 2 Y 40 15 10 $7,400 Number of days to run Mine 3 is > 870 IV 580 Mine 3 Z 15 25 > 400 Determine the number of days to operate each mine that produces the minimum cost and determine the minimum cost. If there is no solution enter 'NONE' in all boxes below. Round days to two decimal places where necessary. $6,400 Required tons 870 580…
Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE? The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero). A. 1 only B. 2 only C. 3 only D. 1, 2 and 3 E. Only 1 and 3
Cyberdyne Systems creates a Professional version of its machine learning software. By disabling some of the features in the Professional version it can create a Home version. Both versions have zero marginal cost. Cyberdyne Systems faces two customer segments which it cannot distinguish between and each is interested in buying at most one version. The RPs of each segments for each version are displayed below. Business Home Buyers Professional Version | Home Version Segment Size $20 $10 30 70 $80 $20 Each customer will choose the software that gives her the highest surplus. 3. Now suppose that Cyberdyne has a competitor who also sells a product, which is an alter- native to Cyberdyne's. The Business customers have an RP of $10 for this product, while Home Buyers have an RP of $15. The competitor firm is selling its product for a price of $10 and will not change it regardless of Cyberdyne's actions. What prices should Cyberdyne set to maximize revenue? You may assume that customers will…
If an optimal value exists for an objective function, it exists at one of the vertices of the feasible region. Explain how to find the vertices.
short answer
Solve the following LP model. a. Develop a spreadsheet model and find the optimal solution using Excel Solver.b. What is the optimal solution? What is the optimal objective function value? Maximize P = 2x1 + 9x2Subject to 2x1 + 3x2 <= 30 2x1 + x2 <= 16 x1 - x2 <= 0 x1 ≥ 0, x2 ≥ 0
Save Exit Submit 5 Based on the following sensitivity report, what would be the change in the objective function value if the objective function coefficient for Product_2 increases to 22? Variable Cells Final Reduced Objective Coefficient Allowable Allowable Cell Name Value Cost Increase Decrease $B$2 Product 1 -2 10 5 1E+30 $B$3 Product_2 Product 3 175 10 14 1 $B$4 -1.5 8 6 1E+30 Constraints Final Shadow Constraint Cell Allowable Allowable Name Value Price R.H.Side $H$9 Resource A Increase Decrease 100 1E+30 100 $H$10 Resource B 525 $H$11 800 1E+30 275 Resource_C 700 1.75 700 366.6666667 700 (Round your answer to the nearest whole number.) Change in the objective function value < Prev 5 of 5 ... Next

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