Let F (X) = $2 x + 1$ On the Interval [ - 1,1]

question 75

Multiple Choice

Let f (x) = $2 x + 1$ on the interval [ - 1,1]. Let the interval be divided into four equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i } \text { if } x _ { i } ^ { * }$ is the right endpoint of its subinterval.

• A)1
• B)2
• C) \(- 2\)
• D)0
• E)6
• F)3
• G)4
• H) \(- 1\)

---

Definitions:

Profit-maximizing Output

The level of production at which a firm achieves the highest profit, where marginal revenue equals marginal cost.

Marginal Cost

The expenditure required to produce an extra unit of a good or service.

Fixed Cost

A cost that does not change with an increase or decrease in the amount of goods or services produced.

Lawn-mowing

The process of cutting the grass in a lawn to maintain its appearance and health.