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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.) N = Find the optimal number of deliveries if Q = 4 million gal, d = $7000, and s = 33 cents/gal-yr. (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.) N =

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.) N = Find the optimal number of deliveries if Q = 4 million gal, d = $7000, and s = 33 cents/gal-yr. (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.) N =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.) N = Find the optimal number of deliveries if Q = 4 million gal, d = $7000, and s = 33 cents/gal-yr. (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.) N =
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.) N = Find the optimal number of deliveries if Q = 4 million gal, d = $7000, and s = 33 cents/gal-yr. (Your answer should be a whole number, so compare costs for the two integer values of N nearest the optimal value.) N =
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