Due date: Tuesday, November 4, 2014, Recitation Class el (4 pts) Here are some f
ID: 2837877 • Letter: D
Question
Due date: Tuesday, November 4, 2014, Recitation Class el (4 pts) Here are some facts about semi - trucks and a trip between Chicago and New Orleans. (a) The trip is 750 miles. (b) Running at 50 mph, the truck gets around 4 miles per gallon. (c) For each mph increase in speed, the truck loses 1 / 10 of a mile per gallon in mileage - and for each mph decrease in speed, the truck gains 1 / 10 of a mile per gallon in mileage. (d) The driver team gets $27 per hour. (e) Keeping the truck on the road costs $15 per hour over and above the cost of fuel. (f) Diesel fuel costs $3 .90 per gallon. (g) Assume that the truck is driven at constant speed, x, during the entire trip. (I) Write a function , C (x) , for the total cost of driving the truck from Chicago to New Orleans in terms of the CONSTANT speed x. (II) At what (constant) speed should the truck be driven to minimize the cost of the trip? Use calculus to answer this question. Explain your reasoning.Explanation / Answer
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