SOLUTION: Mr. Jackson owns a dairy farm that is bordered by a river on one side. He wants to enclose a rectangular pasture that is bordered on one side by a river and on the other three side

Question 178313: Mr. Jackson owns a dairy farm that is bordered by a river on one side. He wants to enclose a rectangular pasture that is bordered on one side by a river and on the other three sides by 600 feet of fencing. What must the dimensions of the pasture be in order for Mr. Jackson to get the greates amount of grazing area, and what is the greatest area for grazing?
A=l*w
A=x(600-2x)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Mr. Jackson owns a dairy farm that is bordered by a river on one side. He wants to enclose a rectangular pasture that is bordered on one side by a river and on the other three sides by 600 feet of fencing. What must the dimensions of the pasture be in order for Mr. Jackson to get the greates amount of grazing area, and what is the greatest area for grazing?
A=l*w
A=x(600-2x)
A = 600x - 2x^2
Set the 1st derivative (dA/dx) equal to zero
600 - 4x = 0
x = 150 feet
It's 150 by 300 feet for max area.
Area = 45,000 sq ft

RELATED QUESTIONS
Farmer Fred wants to fence in a rectangular pasture that is bordered on one side by a... (answered by richwmiller,Alan3354)

Farmer Fred wants to fence in a rectangular pasture that is bordered on one side by a... (answered by Fombitz)

I am so stuck on these type of word problems, can I please get some help? A local farmer... (answered by ewatrrr)

Good morning distinguished Tutors,i kindly need help with the following question-------"A (answered by stanbon)

This is a word problem. A farmer wishes to enclose a pasture that is bordered on one side (answered by rfer)

a dairy farmer plans to enclose a rectangular pasture adjacent to a river. the pasture... (answered by asha)

Marlon wants to fence a rectangular area that has one side bordered by an irrigation. If... (answered by Fombitz)

a farmer has 725 yf of fencing to enclose a rectangular pasture for her goats. Since one... (answered by ikleyn,MathTherapy)

A farmer has 800 yd of fencing to enclose a rectangular pasture. Since one side of the... (answered by Fombitz)