A company extracts oil from canola seeds. Demand for canola oil is constant throughout the year at the rate of 72,000 cans. The holding cost is $0.50 per can per year. The cost involved in the machine set-up is $100 per set-up. The production capacity of the machine is 300 cans per day. The year has 365 days. Determine the following:  a. The optimal production run quantity b.The maximum inventory C.The total minimum annual inventory costs D.The optimal number of production runs per year E.The length of the production run

13.20. Southwood Furniture Company is a U.S.-based furniture manufacturer that offshored all of its actual manufacturing opera- tions to China about a decade ago. It set up a distribution center in Hong Kong from which the company ships its items to the United States on container ships. The company learned early on that it could not rely on local Chinese freight forwarders to arrange for sufficient containers for the company's shipments, so it contracted to purchase containers from a Taiwanese manufacturer and then sell them to shipping companies at the U.S. ports the containers are shipped to. Southwood needs 715 containers each year. It costs $1200 to hold a container at its distribution center, and it costs $6000 to receive an order for the containers. Determine the optimal order size, min- imum total annual inventory cost, number of annual orders, and time between orders.

Item X is a standard item stocked in a company's inventory of spare parts. Each year, the firm uses about 2,000 units of Item X, which costs Php 1,000 per unit. Storage costs, which include insurance and cost of capital, amount to 18 percent of item unit cost. Placing an order for more of Item X costs Php 400. The company operates 360 days per year and Item X is received 9 days after placement of order.

A shoe manufacturer uses 2,000 rubber soles per year for its popular shoe line. The firm makes its own soles, which it can produce at a rate of 90 per day. The shoes are assembled uniformly over the entire year. Carrying cost is $4 per sole a year. Setup cost for a production run of soles is $20. The firm operates 200 days per year. Determine cycle time for the optimal run size. Group of answer choices: A. 5 days B. 10 days C. 15 Days D. 20 days