4. A retailer determines that the cost C of ordering and storing x units of a product can bemodeled by CЗх +20,000',0 < x < 200.The delivery truck can carry at most 200 units per order. Find the order size that willminimize the cost.

Topic - application of derivatives

Answered: 4. A retailer determines that the cost…

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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Similar questions

Suppose that a package courier service promises to deliver to customers at 10:00 am on the morning after pickup. More than 1 hours from the promised delivery time is unacceptable to customers. Due to compensation that the company gives customers for not meeting the promised delivery target, the penalty is $19. How much variation should be allowed in the delivery service? Given : Op Cost = 19 -2.9D and Total Cost = 19 - 2.9D + 19D^2
Q3) A well-circulated lake contains 1000 kL of water that is polluted at a concentration of 2 kg/kL. Water from the effluent of a factory enters the lake at a rate of 5 kL/h with a concentration of 7 kg/kL of the pollutant. Water flows out of the lake through an outlet at the rate of 2 kL/h. Determine the amount and concentration of the pollutant as a function of time.
The demsnd function for a certain commodity is given by p=-1.5x^2-6x+110, where p is the quantity demanded each month. a) if the unit price is set at $20 show that x=6 by solving for x, the number of units sold, but not by plugging x=6. b) find the consumers' surplus if the selling price is set at $20. Use x=6
Suppose that a package courier service promises to deliver to customers at 10:00 am on the morning after pickup. More than 2 hours from the promised delivery time is unacceptable to customers. Due to compensation that the company gives customers for not meeting the promised delivery target, the penalty is $13. How much variation should be allowed in the delivery service? Given : Op Cost = 21 -1.7D and Total Cost = 21 - 1.7D + 3.25D^2 Solve in details
Solve dy 2-x -subjectto y(1) = 0 dx ху

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4. A retailer determines that the cost C of ordering and storing x units of a product can be 20,000 modeled by C Зх + ,0 < x < 200. The delivery truck can carry at most 200 units per order. Find the order size that will minimize the cost.