The fuel consumption c of micheal''s car

Reference no: EM13867043

The fuel consumption c of Micheal's car ( measured in gallons per hour ) is a function of speed ( or velocity ) v of the car ( measured in miles per hour). Since he has owned the car for several years now, Micheal has determined through experimentation that this relationship is

c(v) = 50 + ( v - 30 )^2 / 20 , where 20 > or = v < or = 80. then number of gallons consumed per mile, g(v), is defined g(v) = c(v) / v.

- Find the velocity 20 < or = v < or = 80 that minimizes c.

- Find the velocity 20 < or = v < or = 80 that minimizes g.

- which velocity would you recommend that Micheal drives at in order to save as much money as possible? Briefly explain.

Reference no: EM13867043

Questions Cloud

What is the purpose of having a two-tier system : What is the purpose of having a two-tier system of boards of directors in countries such as Germany?

Amount of assets reported on the balance sheet : Why do you think the president is so concerned with the amount of assets reported on the balance sheet? What accounting concept relates to the presidents first suggestion to report Intellectual Abilities as an asset?

Consider a function f on the interval : Consider a function f on the interval [ -3,4 ] with the following properties: - f is continuous on [ -3,4 ]

What was the balance in the investment : Atlarge Inc. owns 30% of the outstanding voting common stock of Ticker Co. and has the ability to significantly influence the investee's operations and decision making. On January 1, 2013, the balance in the Investment in Ticker Co. What was the bala..

The fuel consumption c of micheal''s car : The fuel consumption c of Micheal's car ( measured in gallons per hour ) is a function of speed ( or velocity ) v of the car ( measured in miles per hour). Since he has owned the car for several years now, Micheal has determined through experimentati..

Prepare the operating activities section : In the current year, Harrisburg Corporation collected $100,000 from its customers and paid out $30,000 to suppliers, $20,000 to employees, and $8,000 for income taxes.

Determine whether f is the gradient of a function f : Problem 1. In each of the following, determine whether F is the gradient of a function f . If it is, find f . (a) F(x, y) = .3x2y2 + 3y + x. i + .2x3y + 3xy - √y. j. (b) F(x, y) = .2xey + e2x - 3. i + .x2 ey + cos 2y + 1. j.

What is the difference between legal and ethical compliance : What is the difference between legal and ethical compliance with corporate governance provisions?

Operating activities section of its statement of cash flows : In the current year, Harrisburg Corporation had net income of $35,000, a $9,000 decrease in accounts receivable, a $7,000 increase in inventory, an $8,000 increase in salaries payable, a $13,000 decrease in accounts payable, and $10,000 in depreciati..

User Account

All Pages