A small retailer is considering various monthly plans for purchasing electricity. With one plan they are charged 5 cents per kWh no matter what their consumption is. With a second plan, they can pre-purchase kWhs at the cost of 4.5 cents per kWh. If they don't use all of the kWhs they purchase, then there is no refund for the unused electricity. If they need more kWhs than they purchase, the extra kWhs are purchased at the rate of 6 cents per kWh. Their forecast for kWh usage per month is normally distributed with a mean of 6,000 and a standard deviation of 2,500.

Question 12 (0.75 points) Saved Suppose they choose the first plan, the flat rate of 5 cents per kWh. What will be their expected monthly bill?

Question 12 options: 300 329 339 401

Question 13 (0.75 points) Suppose they choose the second plan, 4.5 cents per pre-purchased kWh which is non-refundable and 6 cents per additional kWh. How many kWs should they pre-purchase? (Use the Standard Normal Distribution Function table.)

Question 13 options: 4,235 kWs 4,325 kWs 4,352 kWs 4,532 kWs

Question 14 (0.75 points) Suppose they choose the second plan, 4.5 cents per pre-purchased kWh which is non-refundable and 6 cents per additional kWh. If they were to pre-purchase 6000 kWhs, then what would be their expected monthly bill? (Use the Standard Normal Loss Function Table).

Question 14 options: $320.12 $329.84 $420.12 $429.84