1. **State the problem:** Determine if Project C is profitable given an initial investment of 150000 and cash inflows over 4 years with a required rate of return of 10%.
2. **Formula used:** We use the Net Present Value (NPV) formula:
$$\text{NPV} = \sum_{t=1}^n \frac{C_t}{(1+r)^t} - C_0$$
where $C_t$ is the cash inflow at year $t$, $r$ is the required rate of return, and $C_0$ is the initial investment.
3. **Calculate present value of each cash inflow:**
- Year 1: $\frac{50000}{(1+0.10)^1} = \frac{50000}{1.10} = 45454.55$
- Year 2: $\frac{60000}{(1+0.10)^2} = \frac{60000}{1.21} = 49586.78$
- Year 3: $\frac{70000}{(1+0.10)^3} = \frac{70000}{1.331} = 52573.17$
- Year 4: $\frac{30000}{(1+0.10)^4} = \frac{30000}{1.4641} = 20485.76$
4. **Sum the present values:**
$$45454.55 + 49586.78 + 52573.17 + 20485.76 = 168100.26$$
5. **Calculate NPV:**
$$\text{NPV} = 168100.26 - 150000 = 18100.26$$
6. **Interpretation:** Since NPV is positive ($18100.26 > 0$), the investment is profitable.
**Final answer:** The investment is profitable with an NPV of approximately 18100.26.
Npv Project C F5B36E
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