Problem 2: A furniture company uses 18,000 tons of woods a year. Carrying costs are 60 cents per ton a year, and ordering costs are $96. The following price schedule applies. Determine the optimal order quantity and number of orders per year. Amount of Woods (tons) Price per ton ($) 1,000 to 1,999 1.25 2,000 to 4,999 1.20 5,000 to 9,999 1.15 10,000 or more 1.10Problem 2: A furniture company uses 18,000 tons of woods a year. Carrying costs are 60 cents per ton a year, and ordering costs are $96. The following price schedule applies. Determine the optimal order quantity and number of orders per year. Amount of Woods (tons) Price per ton ($) 1,000 to 1,999 1.25 2,000 to 4,999 1.20 5,000 to 9,999 1.15 10,000 or more 1.10