0) Assume the total revenue from the sale of x items is given by R(x) = 31 ln (5x + 1), while the total cost to produce x items is C(x) = x 3 . Find the approximate number of items that should be manufactured so that profit, P(x), is maximum

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.