Question

*b) A manufacturer of cylindrical containers receives tin sheets in widths of 30 cm and 60 cm respectively. For these containers the sheets are to be cut to three different widths of 15 cm, 21 cm and 27 cm respectively. The number of containers to be manufactured from these three widths are 400, 200 and 300 respectively. The bottom plates and top covers of the containers are purchased directly from the market. There is no limit on the lengths of standard tin sheets. Formulate the LPP for the production schedule that minimizes the trim losses Hint: First identify all possible cutting plans]

Answer 1

9iequie d Possible hsee of Combinations Sevearal aure of Caicdt width f 60 Cm 30 availasle fouom Each detes mine how objeative The Sheets widths of in Sta ndad tso im osses hat width Hequised minimum the to Cre vassiables Secision Combination CPlan) of type i(,2 cuting (1, 2,3 hat Let xij minimize cesutafn widt of teg uied

Sses (Plans) eutting Combination the Possible below borh shocon Sheets ot Te as tyres width Y C30 cm) as EL22 X13 23 2 5 1 2 2 0 C 12 3 3 Тsim Loss LPP Modes Minimize Ctim osses) 3 3 922 323 + 3*24 t12 25t 626 9х,2 t Constaints the Subjeot TO t O1a t22tai2y > 300 OC4 3 t 3 t X25 t X (1 X26 D х1 C12 it objeative to