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: Minimize Subject to: Z = 24X + 15Y 7X+11Y 288 16X+4Y≥64 X,Y 20 On the graph on right, constraints C, and C, have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. (C₁) (C₂) 24- 22- 20- 18- 16- 14- 12- 104 8 6- 4- 2- 0+ 0 2 4 6 8 10 12 14 16 18 20 22 24 X Q S1. 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 0
- 3) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMedo fastDefine the decision variables ,Formulate the objective function, Formulate the constraints Sears Investment has $250,000 available to invest in a 12-month commitment. The money can be placed in Treasury notes yielding an 8% return or in municipal bonds at an average rate of return of 9%. Bank regulations require diversification to the extent that a t least 50% of the investment be placed in Treasury notes. Because of defaults in such municipalities as California and Texas, it is decided that no more than 40% of the investment be placed in bonds. How much should Sears Investment invest in each security so as to maximize its return on investment?
- 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 2L.P. Model: Minimize Subject to: Z = 15X+12Y 7X+11Y288 (C₂) (C₂) 16X+4Y280 X,Y 20 On the graph on right, constraints, C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24- 22- 20- 18- 16- 14- 12- 10 8- 64 4- 2- -N 10 12 14 16 18 20 22 24 X C GL.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 Ly
- Please do not give solution in image format thankuexample 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?