Question 2 (15 marks) A manual car wash estimates that its daily production (number of cars...

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Question 2 (15 marks) A manual car wash estimates that its daily production (number of cars washed per day) is given by q(n) = 10(0.2n +0.01n) 1.5 where n is the head count of its washing staff. a) Determine the average daily production per worker? Estimate to the nearest integer this average at a level of 10 washing workers? (0.2n+0.01m) 1.5 (3 marks) g(n) = 9(n) =10 n (0.2n+0.01n2 q(10) 10- n 1.5 n In=10 = 335 cars (daily)/ worker d dn b) Determine the marginal daily production of labor d dn dq ? (7 marks) dn q(n) = 10 (0.2n +0.01n) =101.5(0.2n+0.01n)0.5 d X (0.2n +0.01n) dn dn q(n) = 15(0.2n+0.01n) 0.5 (0.2+0.02n) cars (daily)/ worker c) Using your answer b) above, estimate, to the nearest integer, the additional number of cars that can be washed if the number of workers is increased to 11. (5 marks) q (10) = 15 (0.2n+0.01n)0.5 (0.2+0.02n) | In=10 = 6310cars(daily)/ worker Adding one worker would result in ten more cars washed (a day). Question 2 (15 marks) A manual car wash estimates that its daily production (number of cars washed per day) is given by q(n) = 10(0.2n +0.01n) 1.5 where n is the head count of its washing staff. a) Determine the average daily production per worker? Estimate to the nearest integer this average at a level of 10 washing workers? (0.2n+0.01m) 1.5 (3 marks) g(n) = 9(n) =10 n (0.2n+0.01n2 q(10) 10- n 1.5 n In=10 = 335 cars (daily)/ worker d dn b) Determine the marginal daily production of labor d dn dq ? (7 marks) dn q(n) = 10 (0.2n +0.01n) =101.5(0.2n+0.01n)0.5 d X (0.2n +0.01n) dn dn q(n) = 15(0.2n+0.01n) 0.5 (0.2+0.02n) cars (daily)/ worker c) Using your answer b) above, estimate, to the nearest integer, the additional number of cars that can be washed if the number of workers is increased to 11. (5 marks) q (10) = 15 (0.2n+0.01n)0.5 (0.2+0.02n) | In=10 = 6310cars(daily)/ worker Adding one worker would result in ten more cars washed (a day).