一个“现实”问题：Product-Mix This corporation has 10 plants in various parts of the world.Each of these plants produces the same 10 products and then sells them within its region.The de- mand (sales potential)for each of these products from each plant is known for each of the next 10 months.Although the amount of a product sold by a plant in a given month cannot exceed the demand,the amount produced can be larger,where the excess amount would be stored in inventory (at some unit cost per month)for sale in a later month 每个厂有10条生产线，可以安排任何产品，但效率和成本可能不 同。必要时也可以考虑在厂间运输成品，特定两个厂之间单位产品运 输成本是固定的。每个厂存储能力有上限，单位成本相同。 Management now needs to determine how much of each product should be produced by each machine in each plant during each month,as well as how much each plant should sell of each product in each month and how much each plant should ship of each prod- uct in each month to each of the other plants.Considering the worldwide price for each product,the objective is to find the feasible plan that maximizes the total profit(total sales revenue minus the sum of the total production costs,inventory costs,and shipping costs).一个“现实”问题：Product-Mix 每个厂有10条生产线，可以安排任何产品，但效率和成本可能不 同。必要时也可以考虑在厂间运输成品，特定两个厂之间单位产品运 输成本是固定的。每个厂存储能力有上限，单位成本相同