Exam 18: Introduction to Optimization

If a firm is using a linear program to determine production amounts of its chairs and tables,which of the following constraints must be in the model?

The optimal solution to an optimization problem is the feasible solution with the largest (for a "min" problem)objective function value.

Car Phones,Inc.(CP),sells two models of cell phones: Model A and Model B.Records show that 3 hours of sales time are used for each Model A cell phone that is sold and 5 hours of sales time for each Model B telephone.A total of 600 hours of sales time is available for the next 4-week period.In addition,management planning policies call for minimum sales goals of 100 units for Model A and 80 units for Model B.Furthermore,the number of phones that CP makes is limited by its critical process,the plastic injection molding machine,which can produce a maximum of 1500 phones per 4-week period.CP makes a $40 profit contribution for each Model A sold and a $50 profit contribution for each Model B sold.Formulate a Linear Program that can be used to determine the optimal production amounts CP for the next 4-week period.

The Village Butcher Shop traditionally makes its meat loaf from a combination of lean ground beef and ground pork.The ground beef contains 80 percent meat and 20 percent fat,and costs the shop 80 cents per pound; the ground pork contains 68 percent meat and 32 percent fat,and costs 60 cents per pound.Formulate a linear program to determine the amount each kind of meat that the shop should use in each pound of meat loaf if it wants to minimize its cost and to keep the fat content of the meat loaf to no more than 25 percent.

In Solver,the __________ is the cell that you want to maximize or minimize.

The Answer Report Target Cell,Adjustable Cell,and Constraint sections all include:

Describe the primary advantage of optimization modeling.

Formulate the following as a linear program. Frank's art class must provide instructions on painting (P),carving (C),and clay modeling (M).Frank has a limited material budget of $3,000.The costs per student usage for the supplies are $25,$18,and $14,respectively.Frank must provide instruction and practice opportunities for each method.What is the optimum combination of art supplies Frank should procure for the class?