Inventory Control Jesaki Publishing sells 50.000 copies of a certain hook each year. It costs the company $1 to store a book for one year. Each time that they print additional copies, it costs the company,r $1,000 to set up the presses. NOTE: We assume that the demand is uniform. Let - a: = number of books printed during each prinng run - y = number of printing runs Use this information to answer questions 13-23 below. Use the Inventory Control information above to answer this question. The total setup cost for the year is y. Use the Inventor's.Ir lControl 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 a: to Use the Inventory Control information above to answer this question. Since it costs $1 to store a book for one year, the total storage cost is at. . . I Note: The average number In storage for each clay.r Is 3. Enter your answer as a decimal. Use the Inventory Control information above to answer this question. The total cost is the sum of the setup cost and storage cost, 50 C = [ Select ] [ Select ]Use the Inventory IIZIontrol 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 3;. Since Jesaki prints 3: books in each of the y printing runs. the total number of books printed is my, so we must have my 2 We can use this to express y as a function of a. Use the Inventory lControl information above to answer this question. Since m is the number of books printed in each printing run. a must satisfy 1 E at i: In other words. a: is in the closed interval [ca 3)]. where a = 1 and t: = Use the Inventorsr Control information above to answer this question. Using the calculations above. we can express the total cost C(m] as a function of m. with the restriction on a: given in the previous problem. Find the critical number of C(53) by solving Clio?) = Cl. NOTE: Because of the restriction on :13. there is exactly.r one critical number .2. Use the Inventorsr Control information above to answer this question. There is only one critical number c in the interval. and the cost function C[:Ir] is continuous. Since 01o) [59'9\"] V and C"(c] [33'9\"] V .we can use the [meal V to conclude that C(c] is the [33'9\"] V of the cost function on the intewal I. Use the Inventory llontrol information above to answer this question. How mien-yr books should be produced during each printing run to minimize total cost? books Use the Inventor's.Ir lElontrol information above to answer this question. How many printing runs should he done? printing runs