L.P. Model: Maximize Z = 8X + 6Y Subject to: 1X+2Y≤8 (C1) 5X+1Y ≤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. 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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- Givens about the mechanism shown in the figure are: L₁ = 80 mm, L2 = 20 mm, L3 = 66 mm, L4 = 56 mm, e = 33 mm, Theta (e) = 30 degrees, Theta 2 (82) = 60 degrees. Calculate the coordinates of the point E for this position. .. 4 a. Ex = 36,48 mm Ey = 38,64 mm Ob. Ex = 37,46 mm Ey-35,63 mm Oc. Ex = 35,26 mm Ey = 37,73 mm Od. Ex = 39,46 mm Ey=38,63 mm DL.P. Model: Maximize Subject to: Z= 1X + 10Y 4X + 3Y ≤ 36 2X+4Y ≤ 40 1Y27 X,Y 20 (C₁) (C₂) (C3) 1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph. 2.) Using the point drawing tool, plot the point that maximizes the objective function. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places). C Y 22- 20- 18- 16- 14- 12- 10- 8- co 6+ 4- 2- ó -~ 0 2 -4 4 -6 8 10 12 X . . 14 16 18 20 22 LyNext 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.
- example 1a 1.plot all the corner points for the feasible area. 2. Find the optimum solution to X= Y= VALUE Z=variables $E$11 47000 0 35 7.0000001 8.0000001 BO Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $B$16 LHS 55000 41 55000 10500 47000 $B$17 LHS 72000 35 72000 10500 47000 $B$18 LHS 80000 -8 80000 47000 10500 10500 $B$19 LHS 47000 0 57500 1E+30 The answers to the questions are found in this sensitivity report. Questions: Write your responses in the space provided 1. What is the range of optimality for the BN and BO variables? write your answers in this format: Lower limit <= Coefficient of BN <= Upper limit. Example 22 <= C of BN <= 40 2. What is the range of feasibility for the constraints located on B17 and B18? 3. If the right-hand side of the constraint located on B17 is decreased by 200, what is the effect on the value of the objective function?How to find centroid and area of given area?.
- 1. Problem 13-14 (Algorithmic)The following profit payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature:State of NatureDecision Alternative S1 S2 S3d1 200 150 75d2 250 150 50The probabilities for the states of nature are P(s1) = 0.5, P(s2) = 0.3 and P(s3) = 0.2.a. What is the optimal decision strategy if perfect information was available? S1 : d2 S2 : d1 or d2 S3 : d1 b. c. What is the expected value for the decision strategy developed in part (a)? If required, round your answer to one decimal place. d. Using the expected value approach, what is the recommended decision without perfect information? d2 What is its expected value? If required, round your answer to one decimal place. e. What is the expected value of perfect information? If required, round your answer to one decimal place.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)L.P. Model: Maximize Z= 8X+2Y Subject to: 1X+2Y≤6 (C1) 5X+1Y≤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). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places).
- Determine the total weight of this graph's minimum-weight spanning tree.4. Optimal Rental Decisions in Cloud Computing Assume that AWS has the following 3 options for renting servers. Fraction of Job in one Server Description Rental Low Power Medium Power High Power $2/hr. $4/hr. $9/hr. Hour 1/8 1/6 1/3 L M Note that if you rent a server for less than one hour, you still must pay the rent for the entire hour. You have a job that must finısh in at most 5 hours. The low-power server can finish 1/8th of the job in 1 hour, the medium-power server can finish 1/6 of the job in one hour, and the high- power server can finish 1/3rd of the job in one hour. (a) The typical practice used by most firms is to find a single server that can do the work at the least cost and within the available time. Find the best sıngle server solution-that is, which single server should you use and for how many hours will you rent this server?do fast