Question

The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 150 x s 275 Find the marginal profit for each of the following sales. (Round your answers to two decimal places.) (a) = 150 P(150) $ (b) x 175 P(175)$ (c) X-200 P(200) $ (d) X 225 P(225) $ (e) x250 P(250) $ (f x275 P(275) $ Need Help? Read It Watch It Talk to a Tutor The population P (in thousands) of a country can be modeled by P =-14.77t2 782.5t + 117,224 where t is time in years, with t 0 corresponding to 1980. (a) Evaluate P for t 0, 10, 15, 20, and 25 |thousand people P(0) | thousand people P(10) | thousand people P(15) thousand people P(20) | thousand people P(25) Explain these values. isSelect The -Select (b) Determine the population growth rate, dP/dt. dP dt (c) Evaluate dP/dt for the same values as in part (a) thousand people per year P'(0) thousand people per year P(10) thousand people per year P(15) |thousand people per year P(20) |thousand people per year P(25) Explain your results. isSelect The -Select Need Help? Talk to a Tutor Read It

Answer 1

Date Pace Guven P= 35000 07 5-i 15X E275 Ths agiua pafit is givan y (-2 213 2077 x 1 1 2077 3 4 2 2 aPi150)= 1 2077 4 (150)3 1RJI50 $9440 80 R077 475) J-15 20 49.50 a077 4(2923 $ 3.43 4P 69.24 R077 4225) a077 4(250)3 $65.68

58 P275)-R077 2J275 4 (275) $ 62.63