The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 students, requires 2 chaperones, and costs $1,300 to rent. Each van can transport 7 students, requires 1chaperone, and costs $100 to rent. Since there are 252 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 252 students. Since only 22 parents have volunteered toserve as chaperones, the officers must plan to use at most 22 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?CThe officers should rent buses and vans to minimize the transportation costs.The minimal transportation costs are $

Linear programming is a mathematical technique that is also used in operations management…

Answered: The officers should rent buses and […

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.6: The Effects Of Input Distributions On Results

Problem 28P

See similar textbooks

Similar questions

During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.
Smith Inc. is a retail mail order firm that currently uses a centralized collection system that requires all checks to be sent to its flotation headquarters. An average of 6 days is required for mailed checks to be received, 3 days for Smith Inc. to process them, and 2 days for the checks to clear through its bank. A proposed lockbox system would decrease the mailing and processing time to 2 days and the check clearing time for 1 day. Smith Inc. has an average daily collection of P250,000. If Smith Inc. adopts this proposed lockbox system, its average cash balance will increase by. A. 1.2M B. 450k C. 750k D. 2M
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffiffiffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation σ = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
The Cove is a midsized furniture store. Sales staff are assigned standard shifts (1st shift usually takes place between the hours of 9 a.m. and 5 p.m. 2nd shift is worked between 5 p.m. and 1 a.m. 3rd shift typically takes place between the hours of 12 a.m. and 8 a.m.), and the number of customers arriving per shift averages 40, Poisson distributed. A salesperson can deal with one customer in 5 minutes on average and costs the company $100 per shift in salaries and fringe benefits. Service times closely follow an exponential distribution. The manager is reviewing the number of salespersons to schedule for each shift. The cost of customers waiting before they receive service has been estimated at $2 per minute in terms of lost sales and loss of goodwill. a. If management wants to minimize the cost of both sales staff and customer wait times, how many salespersons should be working in each shift? b. What is the cost per shift to the company if they use the number of salespersons you…
QL (“Quebec Lumber”) is a logging and wood processing firm in a remote part of the Canadian province of Quebec. They have recently acquired a remote track of timber that is located ten miles from their processing facility. Normally, this is not a problem as they are able to simply cut the timber and haul it using trucks to their processing facility. However, this track of forestland is ten miles to their north, and there are no roads connecting the tract of land to their facility. They have also acquired a narrow (120 foot wide) ten-mile strip of land connecting this tract of timber to their processing facility. QL considered building their own road between the two points, and have log trucks haul the logs to the processing facility. However, they have decided instead to go with a less expensive option, a narrow gauge railroad. The narrow gauge railroad would require the laying of ties and steel tracks, and will require a custom-built locomotive and rolling stock (train cars that will…
Roedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand. Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If Roedel manufactures a…
Roedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand. Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If Roedel manufactures a…
Joan has a small design and tailoring shop making custom outfits for women. She has two employees. Each employee only begins working on a dress when a customer order has been received and then she makes the dress from beginning to end. The average production time of a dress is 1.8 days, with a standard deviation of 2.1 days. Historically, Joan has been receiving orders with interarrival times of one day on average. The interarrival times of orders have a coefficient of variation of one. (Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.) What is the expected waiting time, in days, between when an order is received and when production begins on the dress? A. 9.12 days B. 6.50 days C. 1.23 days D.3.41 days
ABC Apple Juice Company produces and markets fresh fruit juice. During the apple harvest season, trucks bring apples from the fields to the process plant during a workday that runs long hours from 7AM. On peak days, approximately 3,000 kg of apples are trucked in per hour. Trucks dump their contents in a holding bin with a storage capacity of 9,000 kg. When the bin is full, incoming trucks must wait until it has sufficient available space. A conveyor moves apples from bin to the processing plant. The plant is configured to process apples at the rate of 2,000 kg per hour. Trucks arrive uniformly between 7:00AM to 5:00PM. Each truck holds about 1,000 kg of apples. The truck drivers are paid at the rate of $10 per hour. As ABC makes fresh juice, it does not store apples. Processing plant starts at 10:00AM and ends when all the apples received during the day have been processed. It takes 2 hours to clean the empty plant that must be kept ready for the next day production. Trucks are owned…
Situation: The Sure To Peal Paint Company stores all its metal compressed gas containers in a warehouse. These long cylindrical metal tanks contain various gases used in manufacturing cans of spray paint. The gas tanks are delivered to the warehouse by truck. Two receiving dockworkers unload the containers from the delivery trucks and place them on four wheel trucks. Two materials handlers are responsible for pushing the loaded trucks into the warehouse, unloading the tanks and setting them up on end. The two materials handlers spend a major portion of their day moving loads of the gas tanks into the warehouse and placing them into the proper storage locations. In total, there are five different types of gases that in equal proportion make up 98% of all gas handled. Question: Management would like to identify a better way to handle these gas tanks. How can the handling operation be improved? Situation: The Rosemarie Cosmetic company has a warehouse of 20 high pallet racks serviced by…
Cakes baked by the Freshfood Bakery are transported from the ovens to be packaged by one of three wrappers. Each wrapper can wrap an average of 200 cakes per hour. The cakes are brought to the wrappers at the rate of 500 per hour. If a cake sits longer than 5 minutes before being wrapped, it will not be fresh enough to meet the bakery’s quality control standards. Does the bakery need to hire another wrapper?
Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

The officers should rent buses and [ The minimal transportation costs are S vans to minimize the transportation costs.