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QUESTION

# A. At what rate is demand p(x) changing with respect to the level of production x when 3,000 (x 3) calculators are produced?

A. At what rate is demand p(x) changing with respect to the level of production x when 3,000 (x 3) calculators are produced? B. The revenue derived from the sale of x thousand calculators is R(x) xp(x) thousand dollars. At what rate is revenue changing when 3,000 calculators are produced? Is revenue increasing or decreasing at this level of production? 49. SALES The manager of the Many Facets jewelry store models total sales by the function 2,000t S(t) 4 0.3t where t is the time (years) since the year 2000 and S is measured in thousands of dollars. A. At what rate are sales changing in the year 2002? B. What happens to sales in the "long run" (that is, as t )? 50. PROFIT Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind of perfume is priced at p dollars per bottle, she will sell 500 B(p) p 5 p 3 bottles per month at a total cost of C(p) 0.2p2 3p 200 dollars a. Express Bea"s profit P(p) as a function of the price p per bottle. B. At what rate