Completed quickly and followed instructions given. Grammar, spelling, etc. was all good as well. Thank you so much! Will hire in the future.
The DuFour Bottling Company has two machines for its bottle pro- duction. The problem each year is to devise a maintenance schedule. Maintenance of each machine lasts two months. In addition, only half the work force is available in July and August, so that only one ma- chine can be used during that period. Monthly demands for bottles are dt, t = 1,…,12. Machine k, k = 1,2, produces bottles at the rate of ak bottles per month but can produce less. There is also a labor constraint. Machine k requires lk labor days to produce ak, and thetotal available labor days per month are Lt, t = 1, . . . , 12.(a) Formulate the problem of finding a feasible maintenance sched- ule in which all demands are satisfied.(b) Modify your formulation to handle the objective: minimize the sum of the monthly fluctuations in labor utilization.(c) Modify your formulation to handle the objective: minimize the largest monthly fluctuation in labor utilization.
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