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Unformatted text preview: -5 e 2 x where x is the number of cases of tape produced and the xed costs are $100. 4. Suppose the rate of change of spending is given by P ( t ) =-10 t 2 (4 t 3 + 11) 2 + 100. Find the amount of spending during the rst two years. 5. Z x (3-x 2 ) 7 dx 6. Z 2 x + 1 dx 7. Suppose the rate of sales of an item is given by-t 3 + 3 t 2 + 15 , where t is the number of weeks after an advertising campaign has begun. How many items were sold during the third week? 8. In industry, the demand equation is given to be D ( x ) = 50-x 2 , and the supply equation is given to be S ( x ) = 5 x . (a) Find the equilibrium point. (b) Find the consumer surplus. (c) Find the producer surplus...
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- Spring '06