Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and then sell it to customers in their store. The function = C(x) = 2x + 45000x-1 + 15000 models their total inventory costs (in dollars) as a function of the lot size for each of their orders from the supplier. The inventory costs include such things as purchasing, processing, shipping, and storing the equipment. What lot size should Glorious Gadgets order to minimize their total inventory costs? (NOTE: your answer must be the whole number that corresponds to the lowest cost.) What is their minimum total inventory cost? $

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7
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Glorious Gadgets is a retailer of astronomy equipment.
They purchase equipment from a supplier and then sell
it to customers in their store. The function
C(x) = 2x + 45000x-¹ + 15000 models their total
inventory costs (in dollars) as a function of a the lot
size for each of their orders from the supplier. The
inventory costs include such things as purchasing,
processing, shipping, and storing the equipment.
What lot size should Glorious Gadgets order to
minimize their total inventory costs? (NOTE: your
answer must be the whole number that corresponds to
the lowest cost.)
What is their minimum total inventory cost? $
Transcribed Image Text:Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and then sell it to customers in their store. The function C(x) = 2x + 45000x-¹ + 15000 models their total inventory costs (in dollars) as a function of a the lot size for each of their orders from the supplier. The inventory costs include such things as purchasing, processing, shipping, and storing the equipment. What lot size should Glorious Gadgets order to minimize their total inventory costs? (NOTE: your answer must be the whole number that corresponds to the lowest cost.) What is their minimum total inventory cost? $
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