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11/6/1997
MATH 1142
QUIZ V (25 minutes)
(5 pts) 1) Find the absolute maximum and absolute minimum (if any) of the following function in the interval .
(5 pts) 2) A bookstore can obtain a certain gift book from a publisher at a cost of $3 per book. The bookstore has been offering the book at a price of $15 per copy and, at this price, has been selling 200 copies a month. The bookstore is planning to lower its price to stimulate sales and estimates that for each $1 reduction in price, 20 more books will be sold each month. At what price should the bookstore sell the book to generate the greates possible profit?
(5 pts) 3) A cylindirical can is to hold 
cubic inches of frozen orange juice. The cost per square inch of constructing the metal top and bottom is twice the cost per square inch of constructing the cardboard side. What are the dimensions of the least expensive can?
(Hint: If the cost of the side is A per square inch, the cost of the bottom and top is 2A per square inch. Write the cost function in terms of these A's. When you are finding the derivative these A's will be taken as constants and will cancel each other in the process of finding where the derivative is 0.)
(5 pts) 4) Find the absolute maxsimum and absolute minimum (if any) of the following function in the interval 
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