Solve using the simplex method the following problem: Maximize Z=3X1 + 2X2 subject to: 2X1+ X2 ≤ 18 2X1 + 3X2 ≤ 42 3X1 + X2 ≤ 24 X1 ≥ 0 , X2 ≥ 0
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Solve using the simplex method the following problem:
Maximize Z=3X1 + 2X2 subject to: 2X1+ X2 ≤ 18 2X1 + 3X2 ≤ 42 3X1 + X2 ≤ 24 X1 ≥ 0 , X2 ≥ 0
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- Consider the following card game. The player and dealer each receive a card from a 52-card deck. At the end of the game the player with the highest card wins; a tie goes to the dealer. (You can assume that Aces count 1, Jacks 11, Queens 12, and Kings 13.) After the player receives his card, he keeps the card if it is 7 or higher. If the player does not keep the card, the player and dealer swap cards. Then the dealer keeps his current card (which might be the players original card) if it is 9 or higher. If the dealer does not keep his card, he draws another card. Use simulation with at least 1000 iterations to estimate the probability that the player wins. (Hint: See the file Sampling Without Replacement.xlsx, one of the example files, to see a clever way of simulating cards from a deck so that the Same card is never dealt more than once.)Let’s consider the following LP problem: min Subject to: Solve the problem with the graphic method.Define n/n problem with a suitable practical example. Multiple solution in case of certain n/2 problem? Explain.
- Find the exact solution of the homogeneous equation xy 2 dy 3 3 (d) x = y³ - x³, y(1) = 2Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below: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 solution
- The captain of a cricket team has to allot five middle batting positions to five batsmen. The average runs scored by each batsman at these positions are as follows: Batsman Batting position IV V P 40 40 40 35 25 50 Q 42 30 16 25 27 R 50 48 40 60 50 S 20 19 20 18 25 T 58 60 59 55 53 • Batsmen 'U' with the following average runs in batting positions as given below: Batting position IV V Average runs 45 52 38 50 49Multiple Optimal Solution: Example (9): Find the optimal solution for the : Multiple Optimal following model by the graphical method Max Z = X,+X, X, +X, 23 .(1) X, +X, 56 S. to : X,21 ..(2) .(3) X, s2 (4) X, 20 X, 20Solve the linear programming problem by the method of corners. Maximize P= x + 6y subject to x + y s4 2x + y s6 x 2 0, y 20 The maximum is P = at (x, y) = Need Help? Read It
- The question is included in the pictures.Please answer: b) Using a computer software for solving LP, the objective value at the optimal solution Minimum number of total miles traveled (objective value)equals= (round your response to a whole number).Solve the following Linear Programming model using the graphical method (USING EXCEL){Write the steps of construction} Q1)MaximizeH = x + 3y Objective functionsubject tox + y ≤ 502x + y ≤ 60 x ≥ 0, y ≥ 0