My School Notebook Company produces custom 3-ring binders with school logos for high schools in the Midwest. They mold binders in four standard colors and then imprint the school’s logo on a to-order basis. The average daily demand for the base color notebooks is as follows: Green: 470 notebooks/day Blue: 200 notebooks/day Red: 280 notebooks/day Black: 330notebooks/day MySchool can produce 1,760 notebooks per 24-hour day. It takes 8 hours to setup production for another color. Calculate the minimum production cycle time in days.

My School Notebook Company produces custom 3-ring binders with school logos for high schools in the Midwest. They mold binders in four standard colors and then imprint the school’s logo on a to-order basis. The average daily demand for the base color notebooks is as follows: Green: 470 notebooks/day Blue: 200 notebooks/day Red: 280 notebooks/day Black: 330notebooks/day MySchool can produce 1,760 notebooks per 24-hour day. It takes 8 hours to setup production for another color. Calculate the minimum production cycle time in days.

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 16P

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MySchool Notebook Company produces custom 3-ring binders with school logos for high schools in the Midwest. They mold binders in four standard colors and then imprint the school’s logo on a to-order basis. The average daily demand for the base color notebooks is as follows: Green: 470 notebooks/day Blue: 200 notebooks/day Red: 280 notebooks/day Black: 330notebooks/day MySchool can produce 1,760 notebooks per 24-hour day. It takes 8 hours to setup production for another color. Calculate the minimum production cycle time in days.
JokersRWild makes playing cards in several different styles, but a “standard” deck of cards is used for planning purposes. The average worker at JokersRWild can make 10,000 sets of decks of cards per month at a cost of $3.40 per deck during regular production and $3.70 during overtime. The company currently employs 35 workers. Experience shows that it costs $1,700 to hire a worker and $1,700 to fire a worker. Inventory carrying cost is $.49 per deck per month. The beginning inventory is 54,000, and at least that amount is desired each month. Assume hiring and layoff/firing, if necessary, occur at the beginning of the month. Month January February March April May June Demand 200,000 240,000 200,000 530,000 540,000 870,000 e. Develop a six-month production plan based on chase by changing workforce level. (Leave no cells blank - be certain to enter "0" wherever required.) Chase Production Plan – Changing Workforce Level Month Demand Regular Production Ending…
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
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Deutchlander Machine Company (DMC) makes two types of printing presses: a four-color lithoand a two-color litho. Demand for both products is booming and exceeds DMC’s ability to satisfyit. Most raw materials are plentiful, but production is limited by three factors: a shortage of steelrollers, gear cutting capacity, and roller polishing capacity. Each four-color press requires 16rollers, and each two-color press requires 8 rollers. The four-color presses require 30 hours ofgear cutting and 8 hours of polishing time, and the two-color presses require 12 hours of gearcutting and 3 hours of polishing time. DMC is able to buy 100 rollers per week, and it has 160hours of gear cutting time and 40 hours of polishing time available per week. To avoid harminglong-term sales, DMC does not want to raise prices. At current prices DMC will earn a profit ofDM24,000 on each four-color press made and DM10,000 on each two-color press made. So asnot to abandon either product market, DMC also wants to…
The small mail-order firm Sea’s Beginning has onephone line. An average of 60 people per hour call inorders, and it takes an average of one minute to handlea call. Time between calls and time to handle calls areexponentially distributed. If the phone line is busy, Sea’sBeginning can put up to c 2 1 people on hold. If c 2 1people are on hold, a caller gets a busy signal and calls acompetitor. Sea’s Beginning wants only 1% of all callersto get a busy signal. How many people should it be ableto put on hold, that is, what is the required value of c?
Barbara and Jenny’s Ice Cream Company produces four different flavors of icecream: vanilla, chocolate, strawberry, and peanut fudge. Each batch of ice cream isproduced in the same large vat, which must be cleaned prior to switching flavors.One day is required for the cleaning process.At the current time they have the following outstanding orders of ice cream:Flavor Order Size (gallons) Due DateVanilla 385 3Chocolate 440 8Strawberry 200 6Peanut fudge 180 12 It takes one day to produce the ice cream and a maximum of 100 gallons canbe produced at one time. Cleaning is required only when flavors are switched. Theproduction for one flavor will be completed prior to beginning production for anotherflavor. Cleaning is always started at the beginning of a day.Treating each ice cream flavor as a different job, find the following:a. The sequence in which the ice cream flavors should be produced in order to minimize the mean flow time for all of the flavors.b. The optimal sequence to produce the…
You own a wheat warehouse with a capacity of 20,000 bushels. At the beginning of month 1, you have 6,000 bushels of wheat. Each month, wheat can be bought and sold at the price per 1000 bushels given in the Table
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The diner owner has room for 55 containers of shredded Parmesan cheese. He has 5-oz and 10-oz containers, and a total of 450oz of cheese. If 5-oz containers sell for $7 and 10-oz containers sell for $12, how many of each should he sell to maximize his revenue? What is his maximum revenue?
Nature's Garden Inc. produces wood chips, wood pulp, and mulch. These products are produced through harvesting trees and sending the logs through a wood chipper machine. One batch of logs produces 20,304 cubic yards of wood chips, 14,100 cubic yards of mulch, and 9,024 cubic yards of wood pulp. The joint production process costs a total of $32,000 per batch. After the split-off point, wood chips are immediately sold for $25 per cubic yard while wood pulp and mulch are processed further. The market value of the wood pulp and mulch at the split-off point is estimated to be $22 and $24 per cubic yard, respectively. The additional production process of the wood pulp costs $5 per cubic yard, after which it is sold for $30 per cubic yard. The additional production process of the mulch costs $4 per cubic yard, after which it is sold for $32 per cubic yard.
TopOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains consignment inventory (owned by TopOil) at each location. Currently, TopOil uses TL transportation to deliver separately to each customer. Each truck costs $800 plus $250 per stop. Thus delivering to each customer separately costs $1050 per truck. TopOil is considering aggregating deliveries to Nashville on a single truck. Demand at the large customer is 60 tons per year, demand at the medium customer is 24 tons per year, and demand at the small customer is 8 tons per year. Product cost for TopOil is $10,000 per ton and they are using a holding cost of 25 percent. Truck capacity is 12 tons. What is the optimal order quantity to each customer assuming TopOil aggregates shipments to each of the three customers on every truck that goes to Nashville?