Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Please help for a and b thanks

Question 1 A truck is to travel 1000 kilometres at a constant speed of v km/h. When travelling at v km/h, the truck consumes fuel at the rate of 6+ (6+ litres per hour. The truck company pays 50 cents/litre for fuel and each of the two drivers $20 per hour whilst the truck is travelling. 50 pays (a) Let the total cost of fuel and the drivers' wages for the trip be C dollars. Show that C = 10v+ 43000 V (b) The truck must take no longer than 12 hours to complete the trip, and speed limits require that v<100. At what speed v should the truck travel to minimise the cost C?
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Transcribed Image Text:Question 1 A truck is to travel 1000 kilometres at a constant speed of v km/h. When travelling at v km/h, the truck consumes fuel at the rate of 6+ (6+ litres per hour. The truck company pays 50 cents/litre for fuel and each of the two drivers $20 per hour whilst the truck is travelling. 50 pays (a) Let the total cost of fuel and the drivers' wages for the trip be C dollars. Show that C = 10v+ 43000 V (b) The truck must take no longer than 12 hours to complete the trip, and speed limits require that v<100. At what speed v should the truck travel to minimise the cost C?
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