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The demand function for the Luminar desk lamp is given by p = x) = 0.1X2 O.?'x+ 22 where X is the quantity demanded in thousands and p is the unit price in dollars. (a) Find rm. PM = S X {b} What is the rate of change of the unit price [in dollars per 1,000 lamps] when the quantity demanded is 19,000 units (x = 10]? What is the unit price (in dollars} at that level of demand? $|:|