1) A hippogriff rancher wants to enclose a rectangular area and thendivide it into four pens with fencing parallel to one side of therectangle (see the figure below). He has 880 feet of fencingavailable to complete the job. What is the largest possible totalarea of the four pens?
Note: you can click on the image to get a enlargedview.
Largest area =
2) A cylinder is inscribed in a right circular cone of height 2 andradius (at the base) equal to 7. What are the dimensions of such acylinder which has maximum volume?
Radius = Height =
3) A car rental agency rents 180 cars per day at a rate of 32dollars per day. For each 1 dollar increase in the daily rate, 5fewer cars are rented. At what rate should the cars be rented toproduce the maximum income, and what is the maximum income?
Rate =
Maximum Income =
I just need the answers
A hippogriff rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). He has 880 feet of fencing available to complete the job. What is the largest possible total area of the four pens? A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume? A car rental agency rents 180 cars per day at a rate of 32 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income?
