Solve the following decision tree using the EMV rule and state the optimal strategy. B C.25 D 35 E 40 F 2 20 -50 H J K M N R 180 50 S 55 T 45 U 25 V 35 W S X 5 Y 4 Z 6 AA 3 BB 4 CC 3 300 100 10 80 -30 120 500 -200 150 100 50
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- When you use a RISKSIMTABLE function for a decision variable, such as the order quantity in the Walton model, explain how this provides a fair comparison across the different values tested.Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 8x + 9y + 3z subject to 2x + 7y + 8z ≤ 100 6x + 3y + z ≤ 160 3x + 4y + 9z ≤ 10 .The LP relationships that follow were formulated by Richard Martin at the Long Beach Chemical Company. Maximize 4X1+12X1X2+5X3 Subject to: 2X1X2+2X3≤70 (C1) 10.9X1−4X2≥15.6 (C2) 10X1+3X2+3X3≥21 (C3) 16X2−13X3=17 (C4) −4X1−X2+4X3=5 (C5) 7X1+2X2+3X3≤80 (C6) For an LP, the objective function developed by Richard is (valid or onvalid) . Constraint C1 is a(n) (valid or onvalid) LP constraint. Constraint C2 is a(n) (valid or onvalid) LP constraint. Constraint C3 is a(n) (valid or onvalid) LP constraint. Constraint C4 is a(n) (valid or onvalid) LP constraint. Constraint C5 is a(n) (valid or onvalid) LP constraint. Constraint C6 is a(n) (valid or onvalid) LP constraint.
- 4. What is the optimized Z value for this following LP problem? Minimize Z= 3x + 10y, subject to (1) 2x + 4y ≤ 12 and (2) 5x + 2y ≥ 10 and (3) x, y ≥ 0. Answer: ______________Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7ySubject to:2x + y ≤ 40x + 3y ≤ 30x, y ≥ 0 What is the entering variable and leaving variable in Table 2? a. Entering Variable: x and Leaving Variable: S2 b. Entering Variable: y and Leaving Variable: S2 c. Entering Variable: y and Leaving Variable: S1 d. Entering Variable: x and Leaving Variable: S1
- INCORRECT FORFormulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR = pounds of Brazilian beans purchased to produce Regular, BD = pounds of Brazilian beans purchased to produce DeCaf, CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian beans purchased to produce DeCaf.) Max 2.033BR+2.582BD+1.868CR+2.418CD INCORRECT Pounds of Regular BR+CR≤900 INCORRECT Pounds of DeCaf BD+CD≤400 INCORRECT009. from: small and medium. There are two flavors to choose from: chocolate and strawberry. There are two toppings to choose from: cherries and nuts. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. Size small medium Flavor chocolate strawberry chocolate strawberry (a) How many outcomes are there? 8 outcome(s) Topping cherries nuts cherries nuts cherries nuts cherries nuts Outcome (small, chocolate, cherries) (small, chocolate, nuts) (small, strawberry, cherries) (small, strawberry, nuts) (medium, chocolate, cherries) (medium, chocolate, nuts) (medium, strawberry, cherries) (medium, strawberry, nuts) (b) How many outcomes do not have chocolate ice cream being chosen? outcome(s) (c) How many outcomes have both strawberry ice cream and cherries being chosen? outcome(s)Which of the following is the optimal value of the objective function for the LP model in this problem? Minimize z=4x + 8y Subject to: x+1.6y>=45 2x+0.5y>=40 X+y<=40 XY>=0 a.220 b.160 c.240 d.200
- Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z= 1X1+1X2 Subject to: 2X1+1X2≤72 (C1) 1X1+2X2≤72 (C2) X1,X2≥0Suppose that the number of ounces of soda put into aPepsi can is normally distributed, with m 12.05 oz ands .03 oz.a Legally, a can must contain at least 12 oz of soda.What fraction of cans will contain at least 12 oz of soda?b What fraction of cans will contain under 11.9 oz ofsoda?c What fraction of cans will contain between 12 and12.08 oz of soda?d 1% of all cans will contain more than oz.e 10% of all cans will contain less than oz.f Pepsi controls the mean content in a can by setting atimer. For what mean should the timer be set so that only1 in 1,000 cans will be underfilled?Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z= 1X1+1X2 Subject to: 2X1+1X2≤100 (C1) 1X1+2X2≤100 (C2) X1,X2≥0 Part 2 The optimum solution is: Part 3 X1= ______ (round your response to two decimal places).