THE ASSIGNMENT PROBLEM PERSON I PERSON II PERSON III PERSON IV PERSON V TASK A 8 14 15 16 TASK B 17 13 7 TASK C 4 4 4 TASK D 5 11 12 TASK E 8. 9. 10 12 TURNS INTO PERSON I PERSON II PERSON III PERSON IV PERSON V TASK A 3 9. 10 11 TASK B 14 10 4 TASK C 3. TASK D 4 TASK E 3 4. 6. WHICH OF THE FOLLOWING IS TRUE ABOUT THE PROBLEM?
Q: (triple constraint)
A: TRIPLE CONSTRAINT
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Q: Maximize Z=3x1 +4x2+X3 subject to –X1-2x22 -10, 2x1 +2x2+ X3< 10, X1,X2,X3 2 0
A: Formula:
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A: LP Model
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A: Formula:
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- May I have the linear programming graph (or model) or plot with the given following information? 3 variables and 8 contraints Objective - Zmax = 1.85R+2.1D+2.15H Constraints: 0.15R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.15H ≤ 7500 0.25R + 0.2D + 0.15H ≤ 7500 0.10R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.20H ≤ 7500 R ≥ 10000 D ≥ 3000 H ≥ 5000Ali has chosen improvement of commercial systems and security threat as a researchsubject for his Informatics Ethics course. He develops an algorithm for the purpose ofimplementing his project in a practical process. He can find the security vulnerabilities of thecompanies network systems with this algorithm. He releases that he can reach the securityvulnerabilities of some companies with this algorithm and he adds these vulnerabilities to hisproject as a result of semester’s work. His professor decides that Ali has done a good project andgives him a very high project grade. When one of the companies that Ali has entered searches thesource of the attack, they find university laboratory as a source of this attack and informs theauthorities of his university. Looking at the scenario discuss the justifications may be given byprofessor, Ali and the company. Keeping in mind company’s opinion, should Ali be punished bythe University? What will be the stance of the University?Given the following data on inputs and outputs at a work center, determine the cumulative deviation and the backlog for each time period. The beginning backlog is 7. (Negative amounts should be indicated by a minus sign.) Input Period 1 2 3 4 5 6 Planned 200 200 180 190 190 200 Actual 210 200 179 195 193 194 Output Period 1 2 3 4 5 6 Planned 200 200 180 190 190 200 Actual 205 194 177 195 193 200 1 2 3 4 5 6 Input Cumulative Deviation Output Cumulative Deviation Backlog 7
- Consider a small Oil production firm with 5 competing oil production projects, A - E. The table below shows the estimated long-term profit (Net Present Value) for each project as well as the amount of investment capital required to start the project. You have been contacted to help select the best combination of projects to maximize the Net Present Value subject to the capital investment limit of $32 million. Production Project A B C D E Estimated Profit (millions) 25 20 19 28 21 Capital Required (millions) 11 8 14 19 13 Formulate a Binary Integer Programming (BIP) model on a spreadsheet. Solver the model using Solver.Maximize P=x1+2x2+x3, Subject to: 3x1+x2+x3≤4 x1+x2+2x3≤4 x1,x2,x3≥0A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
- For a table manufacturing company, selling price for a table is $183.00 per Unit, Variable cost is $25.00 per Unit, rent is $3,380.00 per month and insurance is $296.00 per month. Company wants to expand its business and improve the table quality, it wants to increase the selling price for a table to $254.00 per Unit, Variable cost to $43.00 per Unit, bigger area will have rent $5,235.00 per month and insurance is $362.00 per month At what point will the company be indifferent between the current mode of operation and the new option?Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P ≥ 0 non-binding constraint: R+(3/2) P≤900 binding constraints: (1/8) R+(1/4) P≤100 and (1/2) R+(1/3) P≤300 redundant constraint R+(3/2) P≤900 1. What is the range of the coeficient, c1, of the decision variable R that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2 2. What is the range of the coeficient, c2, of the decision variable P that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2Perdaris Enterprises had an expenditure rate of E′(x) = e0.1x dollars per day and an income rate of I′(x) = 98.8 - e0.1x dollars per day on a particular job, where x was the number of days from the start of the job. The company’s profit on that job will equal total income less total expenditures. Profit will be maximized if the job ends at the optimum time, which is the point where the two curves meet. Find the following.(a) The optimum number of days for the job to last(b) The total income for the optimum number of days(c) The total expenditures for the optimum number of days(d) The maximum profit for the job
- Simplex problem Maximize: 10x1+6x2+3x3 S.t. X1+X2+2x3<=25 2x1+X2+4x3<=40 X1+2x2+3x3<=40 X1,X2,X3>=0What combination of x and y will yield the optimum for this problem? Maximize $10x + $4y, subject to (1) 5x + 3y ≤ 15 and (2) 3x + 6y ≤ 18 and (3) x, y ≥ 0.19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5