Find a Formula for the Riemann Sum Obtained by Dividing $\mathrm { c } _ { \mathrm { k } }$

question 34

Multiple Choice

Find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal subintervals and using the right-hand endpoint for each $\mathrm { c } _ { \mathrm { k } }$ . Then take a limit of these sums as $\mathrm { n } \rightarrow \infty$ to calculate the area under the curve over [a, b].
- $f ( x ) = 3 x + 6$ over the interval $[ 0,3 ]$ .

• A) \(18 + \frac { 27 n ^ { 2 } + 27 n } { 2 n ^ { 2 } }\); Area \(= \frac { 63 } { 2 }\)
• B) \(18 + \frac { 24 n ^ { 2 } + 28 n } { 2 n ^ { 2 } } ;\) Area \(= 30\)
• C) \(18 + \frac { 27 n ^ { 2 } + 27 n } { 2 n ^ { 2 } }\); Area \(= \frac { 63 } { 5 }\)
• D) \(18 - \frac { 27 n ^ { 2 } + 27 n } { 2 n ^ { 2 } }\); Area \(= \frac { 9 } { 2 }\)

Interpret the contribution margin and its significance in managerial accounting.

Analyze the impact of fixed manufacturing overhead costs on inventories and net operating income.

Assess the financial implications of changes in sales volume on net operating income.

Differentiate between the financial outcomes of absorption and variable costing in various scenarios.

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