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UA and DU are preparing for the NCAA basketball game championship. They are setting up their strategies for the championship game. Assessing the strength of their "benches", each coach comes up with four strategies for rotating his players during the game. The ability of each team to score 2-pointers, 3-pointers, and free throws is a key factor in determining the final score of the game. The following table summarizes the net points UA will score per possession as a function of the different strategies available to each team.
a. Solve the game by linear programming and determine a strategy for the championship game.b. Based on the given information, which of the two teams is projected to win the championship?c. Suppose that the entire game will have a total of 60 possessions (30 for each team). Predict the expected number of points by which the championship will be won.
Longer- Term Forecasting Moving averages, exponential smoothing and decomposition methods tend to be utilized for short to medium term forecasting. Longer term forecasting is
Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤) has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po
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Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.
use the simplex method to solve the following lp problem. max z = 107x1 + x2 + 2x3 subject to 14x1 + x2 - 6x3 + 3x4 = 7 16x1 + x2 - 6x3 3x1 - x2 - x3 x1,x2,x3,x4 > = 0
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