390 n=2 M. = 200 V2 = 12 a, = 1.2 d2 = 140 i23 e x2 0 140 180 210 350 0 6,196 6,868 140 4.316 5,188 350 2.468 3,044 530 684 530 7.244 140 0 5564 11 6,196 4.316 2.468 684 0 0 n=1 M. = 200 V, = 15 a, = 1.2 d. = 100 100 7896 240 8284 450 630 10970 124 9718 7896 5 100 The optimal solution is to produce 100 units in month 1,140 units in month 2 and 390 units in month 3, with a total cost of $7,896. 9.12 Selecting Slot Machines The person in charge of the OZONA bowling alley is considering obtaining three new types of slot machines. For this purpose, a space covering 3 m has been made. The volume required for each machine type and the annual estimated profit per fitted machine in thousands of dollars are provided in Table 9.6. Obviously, we can see that the profit obtained by each machine changes when more machines of the same game type are added. For example, this reflects the fact that the customers could occupy a trivial game machine all the time, but a second trivial game machine could be stood idle for part of this time. Moreover, expe- rience shows that there has to be at least one machine of each type and no more than two basketball game machines. How many machines of each type should be fitted to maximise profits