The weather forecast is for cold weather, and there is a 50% chance that the temperature tonight will be cold enough to freeze and destroy a farmer's entire crop, which is worth $50,000. The farmer can take two possible actions to try to alleviate his loss if the temperature drops. First, he could set burners in the farm; this would cost $5,000, but he could still expect to incur damage between $15,000 and $20,000. Secondly, he could set up sprinklers to spray the crop. If the temperature drops, the water would freeze on the crop and provide some insulation. This method costs only $2,000, but is less effective. With the sprinklers he could expect to incur the loss between $25,000 and $30,000 (a) Suppose the farmer can hire an expert who can provide perfect information about weather, but cannot provide any information about loss. What is the maximum amount of money the farmer is willing to pay the expert? (b) Suppose the farmer can hire an expert who can provide perfect information about loss, but cannot provide any information about weather. What is the maximum amount of money the farmer is willing to pay the expert