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For time t 2 0, the function C = ate- with positive constants a and b gives the concentration, C, of a drug in the body. The figure below shows the maximum concentration reached (in nanograms per milliliter, ng/ml) after a 10 mg dose of the cough medicine hydrocodone bitartrate. Find the values of a and b. C (ng/ml) 22.9 1.6 t (hours)The cost of recycling q tons of paper is given in thefollowingtable. q(tons) m 1500 2000 2500 3500 CM) 2600 3100 3620 3820 3900 4-400 (dollars) Estimate the marginal cost at q = 2000. Interpret your answer in terms of cost. Round your answers to the nearest cent. C' (2000) p: n 1.75 This means that recycling the one 2001st ton of paper will cost around $ n At approximately what production level does marginal cost appear smallest? The marginal cost appears to be smallest on the interval 1000 s q s 1500 vTotal cost is C = 9300 + 4.30q and total revenue is R = 5.30q, both in dollars, where q represents the quantity produced. (a) What is fixed cost? The fixed cost is $ (b) What is the marginal cost per item? The marginal cost is $ (c) What is the price at which this item is sold? The selling price is $ (d) For what production levels does this company make a profit? The company makes a profit when production is Choose one units. (e) How much does the company make for each additional unit sold? The company makes $ for each additional unit sold.Let C (q) represent the cost and R (q) represent the revenue, in dollars, of producing q items. (a) If C (50) = 4400 and C' (50) = 28, estimate C (54). C (54) = $ i (b) If C' (50) = 28 and R' (50) = 39, approximately how much profit is earned by the 51 st item? The profit on the 51 st item is i dollars. (c) If C' (100) = 36 and R' (100) = 39, should the company produce the 101 st item? The company V produce the 101 st item