- 16 5 Points Details The Quantity Demanded Each Month Of The Walter Serkin Recording Of Beethoven S Moonlight Sonata 1 (122.17 KiB) Viewed 12 times
16. [-/5 Points] DETAILS The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price per compact disc. TI equation given below, where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. p = -0.00042x + 4 The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by the following equation. C(x) = 590 + 2x -0.00002x² maximize its profits, how many copies should Phonola produce each month? (Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) - C(x).) discs per month The marginal cost of a product is modeled by 14 dC dx ✓14x + 7 where x is the number of units. When x = 17, C = 120. f(x) = 20. [-/5 Points] = (a) Find the cost function. (Round your constant term to two decimal places.) (14x+7) (3) C = 3 (b) Find the cost of producing 50 units. (Round your answer to two decimal places.) $ 17. [-/5 Points] DETAILS Finding an Equation of a Function Find an equation of the function f that has the given derivative and whose graph passes through the given point. f'(x) = -3x²(2x³)4; (0,5) +58.73 x DETAILS g'(t) = Suppose that in a certain country the life expectancy at birth of a female is changing at the rate of 3.63018 (1+1.02)0.9 MY I What is the life expectancy (in years) at birth of a female born in 2000 in that country? (Round your answer to two decimal places.) yr MY NOTE years/year. Here, t is measured in years, with t = 0 corresponding to the beginning of 1900. Find an expression g(t) giving the life expectancy at birth (in years) of a female in that country if the expectancy at the beginning of 1900 is 35.59 years. g(t) =