MATH 131 Quiz #4 June 23, 2014

MATH 131 Quiz #4
June 23, 2014
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Maximum Points: 10
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1) A farmer has 1,000 ft of fencing and wants to enclose a rectangular area and then
divide it into four equally sized pens with fencing parallel to one side of the rectangle.
What is the largest possible total area of the four pens?
a) Draw a diagram illustrating the general situation. Introduce notation and label
the diagram with your symbols.
b) Write an expression for the total area.
c) Use the given information to write an equation that relates the variables.
d) Use parts (b) and (c) to find the maximum area the farmer can enclose.
2) Suppose the revenue a manufacturer receives for producing x tablets is
R(x) = −4x3 + 600x2 + 3000
How many tablets should the manufacturer produce in order to maximize their revenue?