A) Use graphical methodto solve following LP problem. Maximize z = 2x, + x; subiect to the constraints *, + 2x, S 10 *, + x 56 *, + 2x, S1
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- Problem 7-09 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week S4= 1 if the production line is…Q: Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$5 consider Cake (C) 0 -0.5 4.5 0.5 1E+30 $C$5 consider Dozen Cookies (D) 10 0 10 1E+30 1 what does the value minus .5 for the reduced cost of C mean (other than it is the change in thevalue of the coefficient in the objective function so that the solution includes a positive amountof C)?Ex 4.12 Formulate the linear programming model of the following problems. Titan Credit Card Marketing works for HSBC to verify and approve credit card application. TCCM receives P380 for every completed customer application. The company maintained three call agents targeting at P20,000 worth of approvals daily, altogether. In a regular working day, James can process as much as P3000 worth of applications. Mark can process twice as much as Tim. How many credit cards should each call agent process to achieve the target for the day. Formulate the LP model
- Enabled: Chapter 3 Linear Programming: Formu. 0 Help Save & Exit Submi Saved O Quiz Tools 100% A plumbing repalr company has 9 employees and must choose which of 9 jobs to assign each to (each employee is assigned to exactly one job and each job must have someone assigned). a. How many decision varlables will the linear programming model include? Collapse Number of decision variables b. How many fixed requirement constraint will the linear programming model include? Number of fixed requirement constraints R E KQuestion for reference: For the linear program Max 2A + 3Bs.t. 1A+2B <= 6 5A+3B <= 15 A, B >= 0 find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? **See image for answer to the above question** Required: Please explain & show the algebra/working for the determination of the corner points A =12/7 and B =15/7.Given the region of feasible solutions with corner points of (0,3), (4,2), (6,3), and (6,6), find the corner point that would minimize the objective function z = x +10y and state the minimum. Question 3 options: 66 3 24 36
- QUESTION 8 The variable to remove from the current basis is O the variable with the biggest positive ratio value. O the variable with the smallest positive ratio value O the variable with the smallest positive cj - zj value. O the variable with the biggest positive cj - zj value.Question 34 The term "soft constraints" is associated with which of the following? Goal Programming Expected Monetary Value Network Models Integer ProgrammingQuestion 28 Which of the following is NOT a corner point of the feasible region of max z = 3x + 2y subject to the following : 3x + 2y 2 6 2x + y s 10 2x + 3y < 15 x20 y2 0 O (0, 5) O (5, 0) (3.75, 2.5) O (25, 3.75)
- QUESTION 15 Calculate the minimum value of 9x + 5y subject to the following constraints: x +y > 22 x+ 2y 2 29 2x + y > 27 x2 0 y 2 0 Click Save and Submit to save and submit. Click Save All Answers to save all answers.Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2Question #3 Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x1+5x2 Subject to: X15 .(1) 2x1+x2s12. (2) X1+2x2s12... .(3) X1, X220. .(4) 12 11 10 9 B 6 5 3 A E 1 2 3 4 6 7 10 11 12 a) What is the optimal solution x1, X2 and z? b) Determine the optimality range of the objective function coefficient c1. c) Determine the feasibility range of the right-hand side for constraint 1, 2 and 3. d) How many basic feasible solutions in this problem? e) Is there any binding constraint(s)? f) Dose any constraint has a slack? which one and by how much? g) Dose any constraint has a surplus? which one and by how much?