Solve the below problem:
Q: You are writing a college level textbook on finite mathematics, and are trying to come up with the best combination of word problems. Over the years, you have accumulated a collection of amusing problems, serious applications, long complicated problems and "generic" problems1 . Before your book is published, it must be scrutinized by several reviewers who, it seems, are never satisfied with the mix you use. You estimate that there are three kinds of reviewers: the "no-nonsense" types who prefer applications and generic problems, the "dead serious" types, who feel that a college-level text should be contain little or no humor and lots of complicated problems, and the "laid-back" types, who believe that learning best takes place in a light-hearted atmosphere bordering on anarchy. You have drawn up the following chart, where the payoffs represent the reactions of reviewers on a scale of -10 (ballistic) to +10 (ecstatic): Reviewers No-Nonsense Dead Serious Laid-Back Amusing -5 -10 10 You Serious 530 Long -5 5 3 Generic 5 3-10
(a) Your first draft of the book contained no generic problems, and equal numbers of the other categories. If half the reviewers of your book were "dead serious" and the rest were equally divided between the "no-nonsense" and "laid-back" types, what score would you expect.?
(b) In your second draft of the book, you tried to balance the content by including some generic problems and eliminating several amusing ones, and wound up with a mix ofwhich one eighth were amusing, one quarter were serious, three eighths were long and a quarter were generic. What kind of reviewer would be least impressed by this mix?
(c) What kind of reviewer would be most impressed by the mix in your second draft?