The Ottery Creck Winery produces three kinds of table wine - a blush, a white, and a red. Thewinery has 30,000 pounds of grapes available to produce wine this season. A cask of blush requires360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 pounds.The winery has enaugh storage space in its aging room to store 67 casks of wine. The winery has2,200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 hoursfor white, and 18 hours for red. From records of previous years' sales, the winery knows it will sellat least twice as much blush as red and at least 1.5 times as much white as blush. The profit for acask of blush is $12,100, the profit for white is $8,700, and the profit for a cask of red is $10,500.The winery wants to know the number of casks of each type of wine to produce to maximize profit.(Assume that in the production of wine, only whale casks can be produced).If we let x1-blush, x2=white, and x3=red; the correct way to write standard form of the constraintto represent "at least 1.5 times as much white as blush" is:O X2-1.5X1 >= 0X3-X1 >= 1.5O 1.5X2-X1 <= 0O X2-X1 <= 1.5

Let; x1 = Number of casks of blush wine x2 = Number of casks of white wine x3 = Number of casks of…

The Ottery Creck Winery produces three kinds of table wine - a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush rec 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 po The winery has enough storage space in its aging room to store 67 casks of wine. The winery h 2,200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 ho for white, and 18 hours for red. From records of previous years' sales, the winery knows it will at least twice as much blush as red and at least 1.5 times as much white as blush. The profit fo cask of blush is $12,100, the profit for white is $8,700, and the profit for a cask of red is $10,5 The winery wants to know the number of casks of each type of wine to produce to maximize p (Assume that in the production of wine, only whole casks can be produced). If we let x1-blush, x2=white, and x3-red; the correct way to write standard form of the const to represent "at least 1.5 times as much white as blush" is:

The Ottery Creck Winery produces three kinds of table wine - a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush rec 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 po The winery has enough storage space in its aging room to store 67 casks of wine. The winery h 2,200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 ho for white, and 18 hours for red. From records of previous years' sales, the winery knows it will at least twice as much blush as red and at least 1.5 times as much white as blush. The profit fo cask of blush is $12,100, the profit for white is $8,700, and the profit for a cask of red is $10,5 The winery wants to know the number of casks of each type of wine to produce to maximize p (Assume that in the production of wine, only whole casks can be produced). If we let x1-blush, x2=white, and x3-red; the correct way to write standard form of the const to represent "at least 1.5 times as much white as blush" is:

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 37P

See similar textbooks

Similar questions

The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…
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.
fi Auto mobile company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, then 80 per day could be painted. If the paint shop were only painting cars, then 120 per day could be painted. If the body shop were only producing cars, then it could process 100 per day. If the body shop were only producing trucks, then it could process 100 per day. Each truck contributes GHS60,000 to profit, and each car contributes GHS40,000 to profit. Use linear programming to determine a daily production schedule that will maximize the company’s profits.
The MFA Co. Ltd. presently moves pallet loads of cans from production to the truck dock for loading. The loading dock foreman claims that due to increased production the company needs to purchase five new fork trucks and to hire five persons to operate these trucks. Using the present equipment (fork trucks) the maximum load of cans that can be transported is 1500 lb. at a 13.5” load center. The fork truck currently in use is manufacturer - rated for 3,000 lb. at the 24” load center. Question: Can the pallet load capacity be increased? What, if any, new equipment is required?
A car wash offers two different types of wash services, deluxe wash and standard wash. The deluxe wash require(s) three steps: pre-wash, wash and dry. The standard wash only require(s) two steps: wash and dry. The pre-wash step has a capacity of 7 cars per hour. The wash step has a capacity of 11 cars per hour. The dry step has a capacity of 10 cars per hour. The demand for deluxe wash is 7 cars per hour and the demand for standard wash is 11 cars per hour. Instruction: Round to the nearest integer percentage. What is the implied utilization of the bottleneck resource?
Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. Calculate the utilization of cashiers and their capacity cushion during a peak hour. Calculate the utilization of baggers and their capacity cushion during a peak hour. Calculate the overall average utilization of cashiers and baggers during a peak hour.
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…
The Dahlia Medical Center has 35 labor rooms, 18 combination labor and delivery rooms, and 2 delivery rooms. All of these facilities operate around the clock. Time spent in labor rooms varies from hours to days, with an average of about a day. The average uncomplicated delivery requires about one hour in the delivery room. The average time in a combination labor-delivery room is about 24 hours. During an exceptionally busy three-day period,109 healthy babies were born at Dahlia Medical Center. 57babies were born in separate labor and delivery rooms and 52 were born in combined labor and delivery rooms. Which of the facilities (labor rooms, combination labor and delivery rooms, or delivery rooms) had the greatest utilization rate? The ________________% had the highest utilization rate of_____________% (Enter your response as a percent rounded to two decimal places.)
Western Chassis produces high-quality polished steel and aluminum sheeting and two lines of industrial chassis for the rack mounting of Internet routers, modems, and other telecommunications equipment. The contribution margin (contribution toward profit) for steel sheeting is $0.40 per pound and for aluminum sheeting is $0.60 per pound. Western earns $12 contribution on the sale of a Standard chassis rack and $15 contribution on a Deluxe chassis rack. During the next production cycle, Western can buy and use up to 25,800 pounds of raw unfinished steel either in sheeting or in chassis. Similarly, 20,400 pounds of aluminum are available. One standard chassis rack requires 16 pounds of steel and 8 pounds of aluminum. A Deluxe chassis rack requires 12 pounds of each metal. The output of metal sheeting is restricted only by the capacity of the polisher. For the next production cycle, the polisher can handle any mix of the two metals up to 4,000 pounds of metal sheeting. Chassis manufacture…
In order to produce 1000 units of X in a week  units X is scheduled weekly for Operation B (due to 5% scrap ratio)  units X is scheduled weekly for Operation A (due to 2% scrap ratio) Based on your answer in part a, find the number of machines required to produce 1000 units of X per week.  The total time required to perform Operation B = minutes per week  The total time required to perform Operation A = minutes per week H= Available Time in a week = minutes /week Thus FA = . FB = . Since both of the operations A and B are performed on the same machine  machines are required
A small shoe manufacturer makes two styles of shoes: oxfords and loafers. Two machines are used in the process: a cutting machine and a sewing machine. Each type of shoe requires 15 min per pair on the cutting machine. Oxfords require 10 min of sewing per pair, and loafers require 20 min of sewing per pair. Because the manufacturer can hire only one operator for each machine, each process is available for just 8 hours a day. Set up a system of linear inequalities that describes the number of pairs of each style of shoes that the manufacturer can produce within required working hours.