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Homework 4/16
Part I.
Refer to problem 62, page 13 of your text. For each of the following problems, your solution
must include the following steps:
•
Identify a quantity to be minimized.
•
Name it. (Pick a letter.)
•
Write it as a function. (Input letter will depend on your choices as you set up the problem.)
•
Graph the function on an appropriate domain.
•
Algebraically verify that you have exactly located the minimum or maximum value.
•
Answer the actual question.
1. Find the minimum cost of laying this cable.
2. Describe the path of the minimum cost cable.
3. Change the cost per foot for cable on land to
a
dollars per feet. Change the cost per foot
for cable underwater to be 1.5 times the cost on land. Find the minimum cost of laying the
cable. (Your answer will have
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 Spring '08
 STAFF
 Calculus

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