Evaluate the Series, If It Converges $$\sum _ { i = 1 } ^ { \infty } 30 \left( \frac { 1 } { 3 } \right) ^ { i - 1 }$$

question 96

Multiple Choice

Evaluate the series, if it converges.
- $$\sum _ { i = 1 } ^ { \infty } 30 \left( \frac { 1 } { 3 } \right) ^ { i - 1 }$$

• A) \(\frac { 3 } { 2 }\)
• B) 15
• C) 45
• D) Does not converge.

---

Definitions:

Profit-maximizing Output

The level of production at which a firm can achieve the highest possible profit, determined by where marginal cost equals marginal revenue.

Resource Allocation

The process of distributing available resources among various competing needs or uses to maximize overall benefit.

MR = MC Output

The optimal production level for a firm where marginal revenue (MR) equals marginal cost (MC), used to maximize profit.

Profit Maximizing

The strategy or method of adapting manufacturing and sales processes to secure the maximum achievable profit.