(a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost​ (ordering cost plus carrying​ cost) in terms of x and r. B. (b) There are r orders of x packages in a year.​ Therefore, there are r times x packages ordered in a year. Therefore, the constraint equation is____ (c) To find the minimum value of​ C, use the first derivative test to locate the extreme point.  Find the expression for Upper C prime.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost​ (ordering cost plus carrying​ cost) in terms of x and r. B. (b) There are r orders of x packages in a year.​ Therefore, there are r times x packages ordered in a year. Therefore, the constraint equation is____ (c) To find the minimum value of​ C, use the first derivative test to locate the extreme point.  Find the expression for Upper C prime.
A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 6000 packages of this antibiotic at a steady rate during the next year. She plans to place several
orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $8 per year for one package. Use this information to
answer the following questions.
(a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r.
c=
Transcribed Image Text:A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 6000 packages of this antibiotic at a steady rate during the next year. She plans to place several orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $8 per year for one package. Use this information to answer the following questions. (a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r. c=
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