You Are Laying Phone Cable Between Two Cities and Must

question 25

Multiple Choice

You are laying phone cable between two cities and must cross a lake.You will lay L miles on land.The cost C, in dollars, depends on how much cable is on land and how much is in water.The relationship is . ​
How much cable do you lay on land to achieve a minimum cost, and what is that minimum cost? Round your answers to two decimal places.
​

• A) The minimum cost of $7.25 is achieved if you lay 2543.73 miles of cable on land.
• B) The minimum cost of $2543.73 is achieved if you lay 7.25 miles of cable on land.
• C) The minimum cost of $5.32 is achieved if you lay 2541.63 miles of cable on land.
• D) The minimum cost of $2541.63 is achieved if you lay 5.32 miles of cable on land.

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Definitions:

Affirming Consequent

A logical fallacy where one assumes that because the consequent is true, the antecedent must also be true; it's a flawed argument in conditional reasoning.

Antecedent

The conditional clause that represents the if-part in a conditional statement, where its truth logically necessitates the truth of the consequent.

Modus Ponens

A logical form of argument where, from two premises, one asserts a condition and the other affirms that condition, leading to a conclusion.

Hypothetical

Pertaining to a proposition or statement whose truth depends on conditions or variables not yet specified.