What is the volume of the cylinder with a diameter of 6 centimeters and a height of 8.6 centimeters? Round your answer to the ne
1 answer:
You might be interested in
The constraint for the maximum enclosed area is the amount the farmer is
willing to spend on fencing.
The width of the plot that will give the most area, y = <u>83.</u><u> feet</u>
The length of the plot that will give the most area, y = <u>125 feet</u>
Reasons:
The given parameters are;
The cost of fencing per foot = $20
The maximum amount the farmer is willing to spend = $5000
Number of sides of fencing = 3 sides
Cost of the west side of the = Split with neighbor
Solution:
Let, y, represent the length of the fence, and let <em>x</em> represent the width of
the fence, we have;
Length of fence required = y + 2·x
Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x
Therefore;
Maximum amount to be spent on the fence, 5000 = 20·y + 30·x
Area of a rectangle = Length × Width
The enclosed rectangular area of the fencing, A = y × x
The leading coefficient of the quadratic function of the area is negative,
therefore, the function only has a maximum point.
At the point of the most area, the slope,
Finding the value of <em>x</em> at the maximum point, we get;
Therefore;
The length of the plot that will give the most area, y = <u>125 feet</u>
Learn more here: