Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t months, the average score S(t), as a percentage, was found to be given by the following equation, where t2 0. Complete parts (a) through (e) below. S(t) = 77 - 13 In (t + 1), Osts 80 a) What was the average score when they initially took the test? The average score was %. (Round to one decimal place as needed.) b) What was the average score after 4 months? The average score after 4 months was | %. (Round to one decimal place as needed.) c) What was the average score after 24 months? The average score after 24 months was %. (Round to one decimal place as needed.) d) Find S'(t). s'(1) =0 e) Find S'(4) and S'(24), and interpret the meaning of these numbers. s'(4) = ], which means that after 4 months, the average score is by points a month and S'(24) = ], which means that after 24 months, the average score is by points a month. (Type integers or decimals.) increasing decreasingThe demand for a new computer game can be modeled by p(x) =56.5-6 In x, for 0 Sx$ 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R(x) = x . p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x) = c) How many units will be sold if the price that consumers are willing to pay is $40? The number of units that will be sold is |]. (Round to the nearest whole number as needed.)