Anvils Works' requires, on average, 2,800 tons of aluminum each week, with a standard deviation of 1,200 tons. The lead time to recelve its orders is 9 weeks. The holding cost for one ton of aluminum for one week is $10 it operates with a 0.99 in-stock probability. Use (Round your answer to nearest integer.) a. On average, how many tons does it have on order? tons (Round your answer to nearest integer.) b. On average, how many tons does it have on hand? tons (Round your answer to nearest integer.) c. If its average inventory was 7,500 tons, what would be its average holding cost per week? per week (Round your answer to 2 decimal places.) d. If its average inventory was 12,000 tons, what would be its average holding cost per ton of aluminum? perton (Round your answer to 4 decimal places.) e. Suppose its on-hand inventory is 5,125 tons, on average. What in-stock probability does it offer to its customers? \begin{tabular}{|c|c|c|c|} \hline In-Stock Probability & Safety Factor, z & Safety Factor, 2 & In-Stock Probability \\ \hline 0.9000 & 1.28 & 1.25 & 0.8944 \\ \hline 0.9800 & 2.05 & 2.00 & 0.9773 \\ \hline 0.9900 & 2.33 & 2.25 & 0.9878 \\ \hline 0.9950 & 2.58 & 2.50 & 0.9938 \\ \hline 0.9999 & 3.72 & 3.00 & 0.9987 \\ \hline \end{tabular}