Emv Product X
1. **State the problem:** Calculate the Expected Monetary Value (EMV) for Product X.
2. **Given:**
- Development cost = 50000
- Probability of success = 0.7
- Profit if successful = 150000
- Probability of failure = 0.3
- Salvage value if failure = 20000
3. **Calculate payoffs subtracting development cost:**
- Payoff if success = 150000 - 50000 = 100000
- Payoff if failure = 20000 - 50000 = -30000
4. **Compute EMV using formula:**
$$EMV = (P(success) \times Payoff_{success}) + (P(failure) \times Payoff_{failure})$$
$$EMV = 0.7 \times 100000 + 0.3 \times (-30000)$$
$$EMV = 70000 - 9000 = 61000$$
5. **Result:** The EMV is 61000 which indicates the expected net monetary value after considering cost and probabilities.
6. **Check options:** closest to 61000 is option d. 64000, but none match exactly.
Hence, none of the options a, b, c, d exactly matches the calculated EMV of 61000.