Exercise 4.2.10 The total cost C (q) f in dollars) incurred by a certain manufacturer in producing q units a day is given by C(q) = 10q2+300q+ 130 (0 s 1; $15) (a) Find 0(a). (b) What is the rate of change of the total cost when the level of production is ten units? (c) What is the average cost the manufacturer incurs when the level of production is ten units? Exercise 4.2.13 it is estimated that the number N(t) of individuals infected with a certain contagious disease is up) = o.n3+l.5:2+ mo (05: 57) where t is in months and t = 0 corresponds to the initial outbreak. The derivative ofN(t) is given by N'(t) = -0.3t2 + 3:. Aer 4 months. a drug which reduces the infectiousness of the disease is developped. (a) Verify that the numberof infected individuals was increasing for 7mnths. (Hint: Compute N'(O),N'(l },....N' ['1' (b) Show that the drug was working by computing N"(4}.N"(5),h\"' [6) and N\"('l)