In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded gasoline (“g" in liters) are used intermittently to maximize the distance to be travelled (mileage) between fill- ups and charge-ups. If mileage (M) in kilometers is found out to be: M= 90 b + 100 g - 3 b² - 5 g? - 2 bg find the values of “b" and “g" that will maximize mileage M, find the maximum mileage and prove that this is a maximum.

In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded gasoline (“g" in liters) are used intermittently to maximize the distance to be travelled (mileage) between fill- ups and charge-ups. If mileage (M) in kilometers is found out to be: M= 90 b + 100 g - 3 b² - 5 g? - 2 bg find the values of “b" and “g" that will maximize mileage M, find the maximum mileage and prove that this is a maximum.

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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Question

In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded gasoline
("g" in liters) are used intermittently to maximize the distance to be travelled (mileage) between fill-
ups and charge-ups. If mileage (M) in kilometers is found out to be:
M= 90 b+ 100 g - 3 b' - 5 g? - 2 b g
find the values of “b" and “g" that will maximize mileage M, find the maximum mileage and prove that
this is a maximum.

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