Question

05.9 (Carpets) A carpet manufacturer makes four kinds of carpet on a machine. For simplic- ity, call these four types of carpet, A, B, C, and D. It takes 3 hours to switch production from one type of carpet to another. The demand rates (yards/hr) for the four types of car- pet are as follows: 100, 80, 70, and 50. When producing, the machine can produce at the rate of 350 yards/hr. Batch sizes are chosen to minimize inventory while also satisfying the demand requirements. The manufacturer produces with a schedule that cycles through each of the four types, (e.g., A, B, C, D, A, B, ...). a. What batch size (yards) is chosen for carpet type A? [5.6) b. Suppose they produce 16,800 yards of carpet A in each production cycle (and 50,400 yards of carpet in total within the production cycle). What would be the average inven- tory of carpet A? [5.6]

Answer 1

Type As per giver Work Cost Type of Carpet H B 50 70 As Per Demand (300) Too 80 (50x3) 1100xz) 300 (80x3) (70x3 240 210 Time taken from switch One type Carpet to Another 3 hrs Actual Time production (100/ when produce 350 yardsare Batch size. a 117 (70850x) 10) 180/350 x 100) (50/50x100 93 82 58 Time One taken type from Carpet (58x3) 174 Switch - (113x3 to Anothan a 351 (93x3) (82x3 279 246 3 ho is more, satisfying So. As per Question (a) Batch size 300 suitable to minimize the inventory while also the demand. - (6) Average Inventory of Carpet A - 50,400 - 16800 - 3 cycle Total Average Cycle - 50,400 – 3 Inventory - 16,800