Unformatted text preview: tires in storage, amount to $4 per year for one tire. (a) Determine the costs incurred if there are 20 production runs during the year. (b) Express the total inventory cost as a function of the production run size. (5) (15 pts.) Some years ago, it was estimated that the total demand for steel approximately satisﬁed the demand equation p = 8820 x , and the total cost of producing x units of steel was C ( x ) = 175+8 x . (The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) Determine the level of production and the corresponding price that maximizes the proﬁts. (6) (15 pts.) Calculate the derivatives of the following functions. (a) f ( x ) = ± x x 2 + 1 ¶ 2 (b) g ( x ) = 2( x 31)(3 x 2 + 1) 4 (c) h ( x ) = 4 x 2 + x √ x 1...
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 Spring '08
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 Calculus, Derivative, $4, $20,000, 15 pts

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