Unformatted text preview: P , from selling a product depends on advertising and is given by P ( x, y ) = 100 x 1 / 5 y 4 / 5 where x is the number of times the ad for the product appears in a newspaper and y is the number of times the ad appears on TV. If $ 600,000 is available for advertising, and the cost of each appearance of a newspaper ad is $ 3,000 and of a TV ad is $ 4,000, ±nd x and y that will maximize the pro±t. 7) A silo is in the shape of a cylinder topped with a cone. If the radius of each is 6 m and the total surface area is 200 m 2 (excluding the base), what are the heights of the cylinder and cone that maximize the volume enclosed by the silo?...
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 Spring '08
 WOLCZUK
 Calculus, Critical Point, Optimization, Extreme value

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