Example $1$: We produce two type end products: A and B$.$ Also the sub$-$item C is sold as an end product. So$,$ item C has both dependent and independent demands. $($Consider as an example end product car and sub item tire. Tire is also sold as end product.$)$ For the future $12$ weeks our MPS amounts for A$,$ B and C are given below. Product trees are given below. $($LT: lead time$)$ Unit inventory holding cost is $\backslash (2\backslash$$ $\backslash )$ week for all parts. Fixed ordering cost is $\backslash (2500\backslash$$ $\backslash )$ for all parts. Currently we have $50$ units $\backslash ($ C $\backslash )$ in our depot and we have safety stock policy for part C as $30$ units. At the beginning of week $8$ we are going to receive $40$ units part C and at the beginning of week $10$ we are going to receive $100$ units part C as scheduled receipts. Currently we have $85$ units F in our depot and we have safety stock policy for part $\backslash ($ F $\backslash )$ as $50$ units. At the beginning of week $4$ we are going to receive $60$ units part $\backslash ($ F $\backslash )$ and at the beginning of week $8$ we are going to receive $100$ units part F as scheduled receipts. a$)$ For part A$,$ use lot$-$for$-$lot $($LFL$)$ method and fill MRP table. b$)$ For part B use EOQ method and fill MRP table. c$)$ For part C use least average cost method and fill MRP table. d$)$ For part D use part$-$period balance method and fill MRP table. e$)$ The order size for part E is $1500$ units. Fill the MRP table. f$)$ For part F$.$ develop the MIP model of the problem.