MidWest Amusements is in the process of reviewing 10 proposals for new rides at its theme parks in cities scattered throughout the American heartland. The company's only experienced safety engineer must carefully review plans and monitor the construction of all new rides. However, she is only available to work on new rides for 1,468 hours during the year. The net present values and the amount of safety engineer time required for the proposed rides are listed below:

How many zeros does the function f(x)=4x3-x2+1 have

What expression is equivalent to 1/2(2+3x-6)

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."