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A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal shipments of gallons. The cost of each delivery is d dollars and the yearly storage costs are sQT, where T is the length of time (a fraction of a year) between shipments and s is a constant Which value of N minimize the costs? Hint: Express T in terms of N. (Use symbolic notation and fractions where needed.) Find the optimal number of deliveries if Q = 4 million gal, d $8000, and s 31 cents/gal-yr (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.)

A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal shipments of gallons. The cost of each delivery is d dollars and the yearly storage costs are sQT, where T is the length of time (a fraction of a year) between shipments and s is a constant Which value of N minimize the costs? Hint: Express T in terms of N. (Use symbolic notation and fractions where needed.) Find the optimal number of deliveries if Q = 4 million gal, d $8000, and s 31 cents/gal-yr (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.)

Calculus: Early Transcendentals
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 gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal shipments of gallons. The cost of each delivery is d dollars and the yearly storage costs are sQT, where T is the length of time (a fraction of a year) between shipments and s is a constant Which value of N minimize the costs? Hint: Express T in terms of N. (Use symbolic notation and fractions where needed.) Find the optimal number of deliveries if Q = 4 million gal, d $8000, and s 31 cents/gal-yr (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.)
Transcribed Image Text:A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal shipments of gallons. The cost of each delivery is d dollars and the yearly storage costs are sQT, where T is the length of time (a fraction of a year) between shipments and s is a constant Which value of N minimize the costs? Hint: Express T in terms of N. (Use symbolic notation and fractions where needed.) Find the optimal number of deliveries if Q = 4 million gal, d $8000, and s 31 cents/gal-yr (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.)
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