Using the accompanying generic examples of linear optimzation models, identify which of the following are examples of linear optimization models.

Type of Model	Decision	Objective	Typical Constraints
Produce mix	Quantities of product to produce and sell	Maximize contribution to profit	Resource limitations(for example, production time, labor,material); minimum sales requirements; maximum sales potential
Process selection	Quantities of product to make using alternative processes	Minimize cost	Demand requirements; resource limitations
Blending	Quantity of materials to mix to produce one unit of output	Minimize cost	Specifications on acceptable mixture
Portfolio selection	Proportions to invest in different financial isntruments	Maximize future return or minimize risk exposure	Limit on availablefunds; sector requirements orrestrictions; proportional relationships on investment mix
Transportation	Amount to ship between scources of supply and destinations	Minimize total transportation costs	Limited availability otsources; required demands met at destinations
Multiperiod production planning	quantities of product to prodice in each of several time periods; amount of inventory to hold between periods	Minimize total production and inventory costs	Limited productionrates; material balance equations
Multiperiod financial management	Amounts to invest inshort-term investments	Maximize cash on hand	Cash balanceequations; required cash obligations
Production/marketing	Allocation of advertisingexpenditures; production quantities	Maximize profit	Budget limitation; production limitations; demand requirements

Select all that apply. A. A factory wants to maximize the amount of product made per day, with constraints such as delivery capacity, worker hours, and material storage space. B. A fast food chain wants to minimize payroll, with constraints such as minimum number of cashiers, minimum number of cooks, and hours of operation. C. A housing developer wants to maximize profits on its new developments, with constraints such as the number of units built, the zoning laws for the land used in any new project, and whether to not the developer should start two projects at the same time. D. A teacher wants to maximize one of his student's grades on the final exam, with constraints such as the time that student spent studying, that student's attendance, and that student's grades on the midterm