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Unformatted text preview: C ( x ) = 8 + x where x is the number of items produced and sold. Find the prot function P ( x ). What is the prot when the production and sales are x = 6? 8. (10 points) Suppose an egg is thrown straight upward from the ground with initial velocity 96 feet/second and the eggs height at time t is given by the function s ( t ) = 96 t-16 t 2 . Find the velocity at any time t whithout using the rules of dierentiation . What is the velocity of the egg when t=3 seconds? 9. (10 points) The monthly demand and supply functions for the Luminar desk lamp are given by p = d ( x ) =-1 . 1 x 2 + x + 40 and p = s ( x ) = 0 . 1 x 2 + 15 respectively, where p is measured in dollars and x in units of a thousand. Find the equilibrium quantity and price....
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