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As health-care costs increase, payers are turning to technology and outsourced services to keep a lid on expenses. The amount of health-care information technology

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As health-care costs increase, payers are turning to technology and outsourced services to keep a lid on expenses. The amount of health-care information technology (IT) spending by payer is projected to be S (t) = -0.03+3 +0.2t + 0.23t+ 5.6 (0 t4) where S (t) is measured in billions of dollars and t is measured in years, with t = 0 corresponding to 2004. What was the amount spent by payers on health-care IT in 2004? Assuming that the projection held true, what amount was spent by payers in 2008? 64. Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V (x) 0.000003x3 -0.03x + 200x = dollars, where x denotes the number of units manufactured per month. The monthly fixed cost attributable to the division that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total revenue function R(x) = -0.1x2 + 500x (0 x 5000) where R (x) is measured in dollars. a. Find a function C that gives the total cost incurred by the manufacture of x smartphones. b. Find the total profit function. c. What is the profit when 1500 units are produced and sold each month?

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