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accumulated amount annuity associated augmented matrix card drawn cars column player compounded monthly compute Constant cost defective denote the event denote the number depreciation distribution vector dollars entry equivalent EXAMPLE exclusive disjunction expected value F F F F T F face card Find the probability formula Gauss-Jordan elimination given graph histogram inequality inverse investment linear equations linear programming linear programming problem loan manufactured Markov chain Minimize minutes on machine mixed strategy multiplication principle normal distribution objective function obtain optimal strategy outcomes payment payoff matrix percent permutations pivot column plant probability distribution profit propositions purchase random variable real numbers represented result row player sample space selected at random Self-Check Exercises simplex method slope Solution Let Solutions to Self-Check solve standard deviation stochastic matrix straight line system of linear transition matrix tree diagram truth table unit price