P04Ans - p and the average weekly de-mand x is linear. Why?...

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Project 4 MAC 2233 1. Consider the functions: f ( x ) = x 2 g ( x ) = 1 - x 2 h ( x ) = x Write a simplified formula for the function k = f + g · g give its domain in interval notation. h ( x ) = 1 ; Domain: [ - 1 , 1] Write a simplified formula for the function k = ( f + g ) h give its domain in interval notation. k ( x ) = x + 1 - x ; Domain: [0 , 1] 2. EXAMPLE FROM LECTURE: Suppose that when a disposable underwater camera sells for $ 15 , an average of 200 will sell per week in the district Target stores. Periodically the cameras go on sale, and it is observed that for each price reduction of $ 1 . 25 , average weekly sales increase by 25 . a) It appears that the relationship between price per camera
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Unformatted text preview: p and the average weekly de-mand x is linear. Why? b) Find the function that expresses this linear relationship, giving p as a function of x , and graph it below. Line: p = 25-. 05 x c) How many cameras would sell at a price of $ 16 ? Find the revenue from the sale of 180 cameras. Revenue: $ 2880 d) Find the revenue function R ( x ) which gives the total revenue from the sale of x items, and graph it below. What x-value seems to produce the maximum revenue? R ( x ) = x (25-. 05 x ) max revenue when x = 250...
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