13 13. A property owner wants to fence a rectangular garden plot adjacent to a road. The fencingnext to the road must be sturdier and costs $5 per foot, but the other fencing costs just $3per foot. The garden is to have an area of 1200 ft2.a) Find a function that models the cost of fencing the garden.b) Find the garden dimensions that minimize the cost of fencing.c) If the owner has at most $600 to spend on fencing, find the range of fencedimensions that they can build.14. The profit function for a company selling x units of a certain commodity is given byP(x) = -1500 + 12x -0.0004x2When will the profit exceed $50,000? Show a graph that will help you solve this.15. You want to put a fence around a rectangular field and then subdivide the field into 4 smallerrectangular plots by placing three fences parallel to one of the sides. If you can only afford2000 yards of fencing, what dimensions will give the maximum rectangular area?

Area of rectangle is given by the product of length and width of the rectangle. The given area is…

A property owner wants to fence a rectar next to the road must be sturdier and cos per foot. The garden is to have an area ot a) Find a function that models the co b) Find the garden dimensions that r c) If the owner has at most $600 to s dimensions that they can build.

A property owner wants to fence a rectar next to the road must be sturdier and cos per foot. The garden is to have an area ot a) Find a function that models the co b) Find the garden dimensions that r c) If the owner has at most $600 to s dimensions that they can build.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 43PS

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Question

13. A property owner wants to fence a rectangular garden plot adjacent to a road. The fencing
next to the road must be sturdier and costs $5 per foot, but the other fencing costs just $3
per foot. The garden is to have an area of 1200 ft2.
a) Find a function that models the cost of fencing the garden.
b) Find the garden dimensions that minimize the cost of fencing.
c) If the owner has at most $600 to spend on fencing, find the range of fence
dimensions that they can build.
14. The profit function for a company selling x units of a certain commodity is given by
P(x) = -1500 + 12x -0.0004x2
When will the profit exceed $50,000? Show a graph that will help you solve this.
15. You want to put a fence around a rectangular field and then subdivide the field into 4 smaller
rectangular plots by placing three fences parallel to one of the sides. If you can only afford
2000 yards of fencing, what dimensions will give the maximum rectangular area?

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