Question 1 (10points) If a publisher were to give away specimens of its latest best-seller, the demand would be 100,000 books. The marginal demand % for the book is 20 p at a price of p dollars. P a) Determine the demand function for this book. ('7 points) b) Determine the price at which the demand drops to zero. (3 points) Question 2 (10p0ints) The legal team retained to handle the numerous lawsuits brought against a company by its disgruntled clients may have to be expanded. The marginal monthly cost to maintain a team of lawyers is estimated by the following function : 3 C I (x) = (x 2)2 [8 (x 2)3 F thousand dollars per additional lawyer; Determine, to the nearest thousand, the total monthly cost if the team were to increase from two to four retained lawyers