Answer the Question $\mathrm { n }$ Is Large $\mathrm { n }$

question 48

Multiple Choice

Answer the question.
-Many calculators or computers cannot directly calculate 70 ! or higher. When $\mathrm { n }$ is large, $\mathrm { n }$ ! can be approximated by $\mathrm { n } ! = 10 ^ { \mathrm { K } }$ , where $\mathrm { K } = ( \mathrm { n } + 0.5 ) \log \mathrm { n } + 0.39908993 - 0.43429448 \mathrm { n }$ . Evaluate 78 ! using the approximation given above.

• A) \(1.151 \times 10 ^ { 2 }\)
• B) \(1.131 \times 10 ^ { 115 }\)
• C) \(1.281 \times 10 ^ { 114 }\)
• D) \(3.356 \times 10 ^ { 308 }\)

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Definitions:

Standard Costs

Predetermined costs to manufacture a product or deliver a service, used for budgeting and performance evaluation.

Direct Materials Price Variance

The difference between the actual cost of direct materials used in production and the expected (or standard) cost.

Actual Costs

The genuine expenses that are incurred in the production or acquisition of goods and services.

Standard Costs

Predetermined cost estimates relating to how much it should cost to produce a product or provide a service under normal conditions.