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Chapter 6 Solutions
Operations Research : Applications and Algorithms
- Simplify the following Boolean functions by first finding the essential prime implicants (Please indicate the essential prime implicants and prime implicants): (a) F(w, x, y, z) = S(0, 1, 2, 4, 5, 6, 8, 10, 13, 15) (b) F(w, x, y, z) = wy’ + xy + y’z + w’xzarrow_forwardSimplify the following Boolean functions by first finding the essential prime implicants: (a) F(A, B, C, D) = ∑(0,2,3,5,7,8,10,11,14,15) (b) F(w, x, y, z) = ∑(0,1,4,5,6,7,9,11,14,15)arrow_forwardThe branch-and-bound algorithm starts by: 1. determining the most likely RHS values and solving for them. 2. relaxing all the integrality conditions in an ILP and solving the resulting LP problem. 3. solving two LP problems in which X1 is set at 0 and 1 respectively. 4. relaxing all the RHS values in an ILP and solving the resulting LP problem.arrow_forward
- Use the following K-Map to create an equation ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 1 Wx 1 1 w~x 1 1 1arrow_forwardRam, Mohan and Sohan took loan of Rs. x, y and z on rate of interest r%, p%, q% for time t1, t2 and t3 years respectively. Calculate simple interest they will pay and find who will pay the most using ternary operator?arrow_forwardMinimize using Q-M f(a,b,c,d,e) = £m(0,1,4,5,6,13,14,15,22,24,25,28,29,30,31)arrow_forward
- Simplify the following Boolean functions by first listing and identifying all the prime implicantsand essential prime implicants. Write all possible simplified Boolean functions. F (w, x, y, z) = Σ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)arrow_forwardIf AL=AB and BL=12 hex are divided using DIV BL, what is the result? (a) 9 and 12/09 (b) 9 and 09/12 (c) 9.0 Hex (d) 9.09 Hexarrow_forwardMr. A,B,C, & D own company XYZ. Mr. A owns 40% of the stocks, Mr. B 20%, Mr. C 30%, and Mr. D 10%. A company policy is to be approved if at least 70% of the votes cast by the owners is attained.Note: The vote is equal to the share of stocks.1. Draw the truth table.2. Determine the canonical form in terms of product of maxterms.3. Determine the canonical form in terms of sum of minterms and minimize the expression.arrow_forward
- From the given, answer the following. 1. The ramp response of the the transfer function G(s) will yield how many terms when applying partial fraction expansion? 2. Which of the following is a valid denominator of any term in the partial fraction expansion? a. s3 b. s+1 c.s d. s+3arrow_forwardUsing the banker’s algorithm, determine whether this is in a safe state, where the available resources are (for A, B, and C) 1, 2, and 1.arrow_forwardThe tableau is not optimal for either maximization or a minimization problem. Thus, when a nonbasic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering nonbasic variable. Basic Z 0 -5 0 4 -1 -10 0 0 598 0 3 0 -2 -3 -1 5 1 12 0 1 1 3 1 0 3 0 6 1 -1 0 0 6 -4 0 0 0 Categorize the variables as basic and nonbasic and provide the current values of all the variables. AP [8] Assuming that the problem is of the maximization type, identify the nonbasic variables that have the potential to improve the value of If each such variable enters the basic solution, determine the associated leaving…arrow_forward
Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole