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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 79E
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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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