IC(q) +pD+hq (q>0) KD 9 K, D,p and h are constants and the independent variable q is called the order quantity. Show that the inventory cost is minimized when

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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The inventory cost, IC, is the total combined ordering costs, purchasing costs and storage costs of a product
IC(q)
KD
9
where K, D,p and h are constants and the independent variable q is called the order quantity. Show that the inventory cost is minimized when the order quantity q is equal to
+pD+
hq
2
(q > 0)
2KD
h
Transcribed Image Text:The inventory cost, IC, is the total combined ordering costs, purchasing costs and storage costs of a product IC(q) KD 9 where K, D,p and h are constants and the independent variable q is called the order quantity. Show that the inventory cost is minimized when the order quantity q is equal to +pD+ hq 2 (q > 0) 2KD h
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