Q2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 using The Graphical Solution Method. a) Find the optimal solution, determine the solution type. b) Find the optimality range for the changes in the objective coefficient st. 3X1 + 2X2 < 12 X, + 2X2 s 8 X2 2 2 2X1 + X1, X2 20 C2. c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one of the binding constraints.
Q: Q3. Solve the following LP problem by using The Simplex Algorithm. (Keep loyal to the Simplex…
A: The method which helps in accomplishing the optimal or best outcome is known as the linear…
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A: Since you have submitted a question with multiple sub-parts, as per guidelines we have answered the…
Q: Q: For the following Transportation problem: D2 {4} D3 {4} D4 supply {1} {2} 150 Sz {10} {3} {7} {7}…
A: Given Information:
Q: OBJECTIVE FUNCTION Max Zt = 2X, + 4X2 +3X3 SUBJ TO: 3x1 + 4X2 + 2X3 =< 60 2X; + X2 + 2X3 =< 40 X1 +…
A: Given, MAX Z = 2x1 + 4x2 + 3x3subject to3x1 + 4x2 + 2x3 <= 604x1 + x2 + 2x3 <= 40x1 + 3x2 +…
Q: 1. For the game with payoff matrix Player B В, В, Вз A1 Player A A2 -1 -2 6 4 -6 determine the best…
A: We apply the maximin (minimax) principle to analyze the game. Player B B1 B2 B3…
Q: Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost…
A: Given Information: Variable Cells Cell Name Final Value Reduced Cost Objective…
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Q: Q#2 Solve the following linear programming problem using the graphical method and answer the…
A: 1. To draw constraint 10x1+4x2≥40→(1)Treat it as 10x1+4x2=40When x1=0 then…
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Q: Q.3/ Solving a minimization problem, find the minimum value of w=0.12x1+0.15x2 Subject to the…
A:
Q: 13
A: When the value of objective coefficient (OF) is changed from 1.95 to 2 the optimality range is not…
Q: Q3 Solve the following linear programming problem: Maximise Z = 4x+y Subject to the constraints:…
A: Here, I have first written the LP formulation, Maximize the Z=4*X1+X2 constraints are X1+X2=<50…
Q: Consider the sensitivity report below: CLO3 Variable Cells Final Reduced Objective Allowable…
A: A 'Sensitivity Report' describes how modifications in the coefficients of the objective function…
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A: The answer is as below:
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Q: Q.3/ Solving a minimization problem, find the minimum value of w=0.12x1+0.15x2 Subject to the…
A: MIN Z = 0.12x1 + 0.15x2subject to60x1 + 60x2 >= 30012x1 + 6x2 >= 3610x1 + 30x2 >= 90and…
Q: Briefly explain these terms:a. Basic variableb. Shadow pricec. Range of feasibilityd. Range of…
A: Basic variable: Variables that can hold any value apart from zero. Considering the LP model, these…
Q: 14. Given the following sequential decision tree, determine which is the optimal investment, A or B:…
A: A decision tree is a tree-like structure in which the probabilities and possible values help in…
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A: The objective function in a numerical advancement issue is the genuine esteemed function whose worth…
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A: There is a sensitivity report given with allowable increase and decrease values for the objective…
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A: The question is unbalanced problem of minimization. In order to balance it we will insert a dummy…
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Q: 1a. Use the graph below to write a linear model to approximate the population of Bangladesh. (Do not…
A: From the graph, the approximate values of the population are as follows.
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A:
Q: Q1. Build a linear programming model to develop an investment portfolio that minimizes total risk…
A: The answer is as below:
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A: The profit payoff table shows profit for a decision.The best paying decision is taken under each…
Q: Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost…
A: The objective function value will increase by $87.50
Q: Q#3 Solve the following problem Maximize z= 3x1+2x2+X3 Subject to 4x1+X2+X3 = 30 2x1+3x2+X3560…
A: The issue is changed over to sanctioned standard structure by adding slack, excess and counterfeit…
Q: Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost…
A: Option 1 and 3 both are correct. From the variable cells table, it can be concluded that the…
Q: 14. Given the following sequential decision tree, determine which is the optimal investment, A or B:…
A: Note that Square boxes are meant to be decision nodes. We go from right to left in computing the…
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A: The answer is as below:
Q: Q1 Find the best solution for the following model using simplex MAX Z = 10X1 + 8X2 SUB TO: 4X1 + 2X2…
A: Max Z = 10 x1 + 8 x2 subject to 4 x1 + 2 x2 ≤ 80 x1 + 2 x2 ≤ 50 and…
Q: Question for reference: For the linear program Max 2A + 3B s.t. 1A+2B = 0 find the…
A: A + 2B = 6 ⇒A=6-2B 5A + 3B = 15 ⇒5(6-2B)+3B=15 ⇒ 30-10B+3B=15 ⇒B=157 A = 6-2B=6-2157=6-307 = 127
Q: 8 Graphically find all optimal solutions to the follow- ing LP: min z = x1 - x2 s.t. X1 + x2 < 6 X1…
A:
Q: 12
A: When the value of objective coefficient (OF) is changed from 1.95 to 2 the optimality range is not…
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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: Given linear program: Max 3A+2B s.t. 1A+1B≤11 3A+1B≤24…
A: Given linear program: Max 3A+2B s.t. 1A+1B≤11 3A+1B≤24…
Q: Consider the LP problem in Figure QP2.5 and refer to the Solver sensitivity report in Figure QP2.6.…
A: Given- Sensitivity analysis report-
Q: Maximize 8x + 9y Subject to - x + 2 y 0 a) Solve using simplex method
A: Given data: Objective function for maximization: 8χ+9γ Constraints: 1. χ+2γ<8 2. 2χ+3γ<13 3.…
Q: To a) tomy My fut "the"? may Eye & 2 ✪ Qy Search 4. What is the probability that a randomly chosen…
A: This is a probability based question and the solution will be as follows in the coming steps.
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- What will be Hale’s TV Production’s decision based on the following criteria:a. MAXIMAXb. MAXIMINc. MINIMAX REGRETd. EXPECTED VALUEe. Construct the decision tree for this problem and indicate the decision based on the decision tree analysis.can you pls answer letter a,b,cLong-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.A committee in charge of promoting a Ladies Professional Golf Association tournament is trying to determine how best to advertise the event during the two weeks prior to the tournament. The committee obtained the following information about the three advertising media they are considering using. Cost per Audience Reached per Advertisement Advertisement Category TV Radio Internet s.t. Priority Level 2 Goal Priority Level 3 Goal Goal 1: Reach at least 3.7 million people. Priority Level Goal TV limit X₁ <10 Radio limit X₂ ≤ 15 Internet limit X3 ≤18 The last column in this table shows the maximum number of advertisements that can be run during the next two weeks; these values should be treated as constraints. The committee established the following goals for the campaign. Priority Level 1 Goal Goal 1 200,000 Goal 2 50,000 Goal 3 100,000 X Goal 2: The number of television advertisements should be at least 30% of the total number of advertisements. ✓ $2,500 X $400 Goal 3: The number of radio…
- Briefly explain these terms:a. Basic variableb. Shadow pricec. Range of feasibilityd. Range of optimality. Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components' defective rate to be 11%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 74000 acceptable-quality…Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard. Management is considering two varieties of white grapes for the new vineyard: Chardonnay and Riesling. The Chardonnay grapes would be used to produce a dry Chardonnay wine, and the Riesling grapes would be used to produce a semidry Riesling wine. It takes approximately four years from the time of planting before new grapes can be harvested. This length of time creates a great deal of uncertainty concerning future demand and makes the decision concerning the type of grapes to plant difficult. Three possibilities are being considered: Chardonnay grapes only; Riesling grapes only; and both Chardonnay and Riesling grapes. Seneca management decided that for planning purposes it would be adequate to consider only two demand possibilities for each type of wine: strong or weak. With two possibilities for each type of wine it was necessary to assess four probabilities. With the help of some forecasts in…
- Ian Langella faces a decision how large his gasoline station should be. The annual returns wil l depend on both the size of his station and number of marketing factors related to the oil in dustry and demand for gasoline. Ian develop a careful analysis based on the following table: Size of first station Market condition Market conditon Market conditon Good Fair Poor Small 50,000 20,000 -10,000 Medium 80,000 30,000 -20,000 Large 100,000 30,000 -40,000 Very large 300,000 25,000 -160,000 Develop a decision table for this decision1. Consider the decision table given below. Find which Profits NI N2 N3 N4 decision will be taken, as a function of c (a real number) according to a. Wald's criterion, Laplace's criterion, and Hurwicz's criterion (take a-0.6). b. Find the range(s) of c for which all three methods uniquely lead to same alternative. SI 3. 4 6. S2 2 4 S3 6. S4 6. 62. Consider the transportation problem having the following parameter table (M is a big positive number) Source Demand 1 12345 2 3 5 1 2 3 343800 13 14 4 18 3 0 130940 Destination 4 5 22 29 18 21 M 3 5 26M940 16 M 11 24 34 19 23 11 4 6 Supply 0 ooooo 0 6 0 0 36 28 0 5 6 2 56743 (a) Use the northwest corner rule manually to obtain a complete initial BF solution, also find the objective value for this solution. How many basic variables are there in this solution? (b) Use Vogel's approximation method manually to select the first basic variable for an initial BF solution. (Attention, do not need to find an complete initial BF solution, just find the first BV for this initial BF solution)
- Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard. Management is considering two varieties of white grapes for the new vineyard: Chardonnay and Riesling. The Chardonnay grapes would be used to produce a dry Chardonnay wine, and the Riesling grapes would be used to produce a semidry Riesling wine. It takes approximately four years from the time of planting before new grapes can be harvested. This length of time creates a great deal of uncertainty concerning future demand and makes the decision concerning the type of grapes to plant difficult. Three possibilities are being considered: Chardonnay grapes only; Riesling grapes only; and both Chardonnay and Riesling grapes. Seneca management decided that for planning purposes it would be adequate to consider only two demand possibilities for each type of wine: strong or weak. With two possibilities for each type of wine it was necessary to assess four probabilities. With the help of some forecasts in…Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)