L.P. Model: Maximize Subject to: Z = 8X +8Y 1X+2Y≤8 (C₁) 5X+4Y≤ 20 (C2) X,Y≥0 On the graph on right, the constraints C₁ and C2 have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X = ☐ (round your response to two decimal places). ----- 20- 18- 16- 14- 12- 10- 8- 6- 2- 0 0 2 -~ 4 -6 8 -× 10 12 L2 16 14 16 18 20 T2 + LV On the graph on right, the constraints C₁ and C₂ have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X=0.00 (round your response to two decimal places). Y = 4.00 (round your response to two decimal places). Optimal solution value Z = 24.00 (round your response to two decimal places).
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.Calculating outcomes as equally likely would BEST describe: O a. Maximax criterion O b. Laplace criterion O c. Regret criterion Od. Maximin criterion Determining the average payoff for each alternative and choosing the one with the BEST payoff is the approach called: ea, maximax O b. minimax regret O c. laplace Od maximin 23) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMe
- 1. Given the LP model below. Do the following: a. Formulate the new LP model. b. Set up the initial table then identify the optimum column, pivotal row, entering variable out, going variable, Zj row entries, and Cj n-Zj row entries Maximize eamings = $0.80xX₁ + $0.40X₂ + $1.20X3 - $0.10X4 subject to X₁ + 2X₂ + X3 + 5X₁150 X₂ 4X₂ + 8X₂ = 70 6X₁ + 7X₂ + 2X3 - X₂ 120 X₁, X₂, X₁, X₁Z 0Explain or define each of these terms:a. Laplace criterionb. Minimax regretc. Expected valued. Expected value of perfect informationQ2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 %3D 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 c2. c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one st. 3X1 + 2X2 < 12 Xị + 2X2 s 8 2X1 + X2 2 2 X1, X2 2 0 of the binding constraints.
- Next question Use the simplex method to solve the linear programming prob z= 8x1 - 7x2 + 4x3 2x1 Maximize X2 + 8x3 s 40 4x1 - 5x2 + 6x3576 2x1 - 2x2 + 6x3< 32 X120, X2 20, хз 20. subject to Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is , X2 =, X3 = S2 = and s3 when X1 S1 = B. There is no maximum.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.)Problem A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as: Price = 150 − 0.01 × Demand for an annual printing of this particular product. The company is planning its productions for the year 2021. The company is considering the production of a certain number of 2,000 pages units. In 2019 the company had produced 4 similar units but with fewer pages count per unit (1,200; 1,400; 1800; and 1,900), and the material costs associated with those 4 units are (14.15 JD, 15.65 JD, 18.25 JD, and 18.90 JD respectively). The material cost index values were 185 for 2018, 193 for 2019, 200 for 2020, and 206 for 2021). The fixed costs per year (i.e., per printing) = 50,000 JD, and the variable cost will consist of the material cost and the labor cost. The company started to produce 2000 pages unit in 2021, and the project management team observed that 8.23 labor…
- Problem A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as: Price = 150 − 0.01 × Demand for an annual printing of this particular product. The company is planning its productions for the year 2021. The company is considering the production of a certain number of 2,000 pages units. In 2019 the company had produced 4 similar units but with fewer pages count per unit (1,200; 1,400; 1800; and 1,900), and the material costs associated with those 4 units are (14.15 JD, 15.65 JD, 18.25 JD, and 18.90 JD respectively). The material cost index values were 185 for 2018, 193 for 2019, 200 for 2020, and 206 for 2021). The fixed costs per year (i.e., per printing) = 50,000 JD, and the variable cost will consist of the material cost and the labor cost. The company started to produce 2000 pages unit in 2021, and the project management team observed that 8.23 labor…A survey was conducted to 12 first time voters on their preferred candidate. The results are: BBM, BBM, LR, IM, PL, PL, IM, IM, BBM, BBM, LR, LR. Which statement is true? The Borda score of PL is two points. BBM wins by plurality method. The Condorcet winner is IM. The modes are LR and IM Which of the following is a property of all linear programming problems? alternate courses of action to choose from minimization of some objectives a computer program usage of graphs in the solutionMaximize p = 7x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p= (x, y, z)=