Problem 13-13A mail-order house uses 16,820 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. Number of BoxesPrice per Box1,000 to 1,999$1.25 2,000 to 4,9991.20 5,000 to 9,9991.15 10,000 or more1.10 a.Determine the optimal order quantity. (Round your answer to the nearest whole number.) Optimal order quantity[removed] boxes b.Determine the number of orders per year. (Round your answer to 2 decimal places.) Number of order[removed] per year