Choose the One Alternative That Best Completes the Statement or Answers

question 170

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A rectangular box with volume 433 cubic feet is built with a square base and top. The cost is $\$ 1.50$ per square foot for the top and the bottom and $\$ 2.00$ per square foot for the sides. Let $x$ represent the length of a side of the base. Express the cost the box as a function of $x$ .

• A) \(C ( x ) = 3 x ^ { 2 } + \frac { 3,464 } { x }\)
• B) \(C ( x ) = 4 x + \frac { 3,464 } { x ^ { 2 } }\)
• C) \(C ( x ) = 3 x ^ { 2 } + \frac { 1,732 } { x }\)
• D) \(C ( x ) = 2 x ^ { 2 } + \frac { 3,464 } { x }\)

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Definitions:

Expected Opportunity Loss

A statistical determination of potential loss due to not selecting the optimal choice among different options.

Gross Profits

The difference between revenue and the cost of goods sold before deducting overheads, payroll, taxation, and interest payments.

Probability

A measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Rollback Technique

A decision analysis procedure used to solve decision trees backwards from the end nodes to the beginning, to find the sequence of decisions that maximizes the expected utility.