Suggest additional generic examples of linear optimization models in the format of Table 13.1 based on your work experience, personal interests (hobbies, etc.), or information found in business articles.

Table 13.1

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Type of Model Product mix Process selection Blending Portfolio selection Transportation Decisions Quantities of product to produce and sell Multiperiod financial management Production/marketing Minimize cost Quantities of product to make Minimize cost using alternative processes Quantity of materials to mix to produce one unit of output Proportions to invest in differ- ent financial instruments Maximize future return or minimize risk exposure Amount to ship between sources of supply and destinations Multiperiod production Quantities of product to pro- planning duce in each of several time periods; amount of inventory to hold between periods Amounts to invest in short- term instruments Objective Maximize contribution to profit Allocation of advertising expenditures; production quantities Minimize total transportation cost Minimize total produc- tion and inventory costs Typical Constraints Resource limitations (for example, production time, labor, material); minimum sales requirements; maximum sales potential Demand requirements; resource limitations Specifications on acceptable mixture Limit on available funds; sector requirements or restrictions; proportional relationships on investment mix Limited availability at sources; required demands met at destinations Limited production rates; material balance equations Maximize cash on hand Cash balance equations; required cash obligations Maximize profit Budget limitation; production limitations; demand requirements