Carol Cagle has a repetitive manufacturing plant producing trailer hitches in​ Arlington, Texas. The plant has an average inventory turnover of only 12 times per year. He has therefore determined that he will reduce his component lot sizes. He has developed the following data for one​ component, the safety chain​ clip: Setup labor cost ​$25 per hour Annual holding cost ​$13 per unit Daily production 960 ​units/8 hour day Annual demand 23,000 ​(250 days eachtimes×daily demand of 92 ​units) Desired lot size 120 units​ (one hour of​ production)
To obtain the desired lot size, the set-up time that should be achieved = ___ minutes.