Inventory Control A company anticipates there will be a demand for 20,000 copies of a certain book during the next year/. It costs the company $0.50 to store a book for 1 year. Each time it must print additional books, it costs $200 to set up the equipment. NOTE: We assume that the demand is uniform. Let 0 :I: = number of books printed during each printing run 0 y = number of printing runs Use this information to answer questions 9-19 below. Question 10 0.4 pts Use the Inventory Control information above to answer this question. Since we assume the demand is uniform, the number of books in storage between printing runs will decrease from :I: to The average number in storage a: for each day is 5 Question 11 0.5 pts Use the Inventory Control information above to answer this question. Since it costs $0.50 to store a book for one year, the total storage cost is :13. Enter your answer as a decimal. Question 12 0.4 pts Use the Inventory Control information above to answer this question. The total cost is the sum of the setup cost and storage cost, so 0: \\/ [ Select ] 0.25 1 0.5 Question 12 0.4 pts Use the Inventory Control information above to answer this question. The total cost is the sum of the setup cost and storage cost, so C: J [Select] 0.25 1000 'I 0.5 Question 13 0.4 pts Use the Inventory Control information above to answer this question. In order to write the total cost as a function of one variable, we must nd a relationship between a: and y. Since the company prints 3: books in each of the y printing runs, the total number of books printed is my, so we must have (By: We can use this to express y as a function of a3. Question 14 0.4 pts Use the Inventory Control information above to answer this question. Since a? is the number of books printed in each printing run, a: must satisfy 1 g a: \\/ [Select] Question 16 0.5 pts Use the Inventory Control information above to answer this question. There is only one critical number c in the interval, and the cost function C(99) is continuous. Since C'(c) [ Select ] O \\/ [ Select ] FirstDerivative Test for Absolute Extrema on an Interval Extreme Value Theorem L'Hopital's Rule Chain Rule SecondDerivative Test for Absolute Extrema on an Interval Question 16 0.5 pts Use the Inventory Control information above to answer this question. There is only one critical number 6 in the interval, and the cost function C(99) is continuous. Since C'(c) [ Select ] O and C"(c) [ Select ] 0 we can use the O [ Select ] I \\/ [Select] absolute maximum asymptote absolute minimum intercept Question 17 0.5 pts Use the Inventory Control information above to answer this question. How many books should be produced during each printing run to minimize total cost? books Question 18 0.5 pts Use the Inventory Control information above to answer this question. How many printing runs should be done? printing runsQuestion 19 0.5 pts Use the Inventory Control information above to answer this question. What is the minimum total cost? $ Question 9 0.4 pts Use the Inventory Control information above to answer this question. The total setup cost for the year is y