Final answer:
The net profit per barrel for the financial manager is a loss of $2 when the price per barrel is $29 and a profit of $4 when the price per barrel is $35. Therefore, the correct option is D.
Step-by-step explanation:
The financial manager's net profit per barrel when the price per barrel is $29 is calculated as follows: The call option will expire worthless since the price is below the exercise price, and thus it provides no financial gain. However, the financial manager has sold a put option, which means she is obligated to buy oil at $31 while the market price is $29, resulting in a loss of $2 per barrel. When the price per barrel is $35, the financial manager can exercise the call option to buy oil at $31, which she can then sell at the market price of $35, netting a profit of $4 per barrel. Conversely, the put option she sold will expire worthless to the buyer, incurring no cost to the financial manager.