Exam 14: Optimization Modeling: Applications

Discuss how the company's optimal production schedule would be affected by a change in the cost of decreasing production from one quarter to the next.

A company manufactures two products.If it charges price for product ,it can sell units of product ,where and .It costs the company $20 to produce a unit of product 1 and $65 to produce a unit of product 2.How many units of each product should the company produce,and what prices should it charge,to maximize its profit?

Which of the following does not represent a broad class of applications of linear programming models?

A company produces three types of glue on two different production lines.Each line can be utilized by up to six workers at a time.Workers are paid $550 per week on production line 1 and $950 per week on production line 2.For a week of production it costs $1,050 to set up production line 1 and $2,050 to set up production line 2.During a week on a production line each worker produces the number of units of glue shown in the table below: Each week at least 120 units of glue 1,at least 150 units of glue 2,and at least 200 units of glue 3 must be produced.Determine how to minimize the total cost of meeting weekly demands.

Discuss how the company's optimal production schedule would be affected by a change in the cost of increasing production from one quarter to the next.

In an optimized network flow model (MCNFM),all the available capacity will be used.

(A)Use Solver to formulate and solve the post office's problem. (B)Suppose the post office has 30 full-time employees and is not allowed to hire or fire any employees.Determine a schedule that maximizes the number of weekend days off received by the employees.

Which of the following statements is a type of constraint that is often required in blending problems?

An oil company controls two oil fields.Field 1 can produce up to 45 million barrels of oil per day,and field 2 can produce up to 55 million barrels of oil per day.At field1,it costs $3 to extract and refine a barrel of oil; at field 2,the cost is $2.The company sells oil to two countries: France and Japan.The shipping costs per barrel are shown below. Each day,France is willing to buy up to 45 million barrels (at $6 per barrel),and Japan is willing to buy up to 35 million barrels (at $6.50 per barrel).Determine how to maximize the company's profit.

An electronic company is considering opening warehouses in New York,Los Angeles,Madison,and Tampa.Each warehouse can ship 125 units per week.The weekly fixed cost for keeping each warehouse open is $500 for New York,$600 for Los Angeles,$400 for Madison,and $200 for Tampa.Region 1 of the country requires 90 units per week,region 2 requires 80 units per week,and region 3 requires 50 units per week.The costs (including production and shipping costs)of sending one unit from a plant to a region are shown in the table below. Show how the company can meet weekly demands at a minimum cost,subject to the above information and the following restrictions: If the New York warehouse is opened,then Los Angeles must be opened. At most two warehouses can be opened. Either the Tampa or the Los Angeles warehouses must be opened.

The project manager is evaluating options to complete the project early so that the company can earn a bonus.He has determined that the project schedule can be compressed into a six-month schedule,with the same total number of worker-months.In that case,the staffing requirements are as shown below. Develop an optimal staffing plan for the project under the accelerated schedule.

In transportation problems,shipments between supply points or between demand points are possible.

A common characteristic of integer programming models is that they:

Which of the following is true regarding multiple optimal solutions?

In a transshipment problem,shipments

The cost per day of running a hospital is 250,000 + dollars,where x is the number of patients served per day.What number of patients served per day minimizes the cost per patient of running the hospital?

(A)Determine how to minimize the cost of meeting demands at Dallas and Orlando (B)Modify the answer to (A)if shipments between Los Angeles and Detroit are not allowed.

The constraints in a blending problem can be specified in a valid way and still lead to which of the following problems?

Rounding the solution of a linear programming to the nearest integer values provides a(n)

The cost per day running a hotel is 200,000 + 0.002 dollars,where x is the number of customers served per day.What number of customers served per day minimizes the cost per customer of running the hotel?