13.11 A quarry produces crushed rock for road-making. It can produce up to 5000 m per month. The quarry's orders and cost of production per 1000 m, for the next four months are given in Table 13.16 The quarry may store up to 4000 m of crushed rock from one month to the next at a cost of $50/1000 m Use dynamic programming to find the quarry's minimum cost production schedule over the four months assuming it starts and finishes with no crushed rock in storage. Optimisation 421 Table 13.16 Orders and production costs. 1 2 2 4 3 4 4 3 500 550 600 550 Month Orders (x 1000 m) Production cost for the first 1000 m ($) Production cost for each additional 1000 m ($) 300 250 350 300 104 7 4 8 2 9 10 1 5 11 12 3 10 6 8 13.11 A quarry produces crushed rock for road-making. It can produce up to 5000 m per month. The quarry's orders and cost of production per 1000 m, for the next four months are given in Table 13.16 The quarry may store up to 4000 m of crushed rock from one month to the next at a cost of $50/1000 m Use dynamic programming to find the quarry's minimum cost production schedule over the four months assuming it starts and finishes with no crushed rock in storage. Optimisation 421 Table 13.16 Orders and production costs. 1 2 2 4 3 4 4 3 500 550 600 550 Month Orders (x 1000 m) Production cost for the first 1000 m ($) Production cost for each additional 1000 m ($) 300 250 350 300 104 7 4 8 2 9 10 1 5 11 12 3 10 6 8