Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 87P
a)
Summary Introduction
To determine: The way to minimize the total cost incurred during the period of the next 4 quarters.
Linear programming:
It is a mathematical modeling procedure where a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
b)
Summary Introduction
To use: The solver table to identify the increase of total cost due to the increase of required capacity at the end of quarter 4.
Linear programming:
It is a mathematical modeling procedure where a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
CWD Electronics sells Televisions (TV), which it orders from the USA. Because of shipping and handling costs, each order must be for 5TVs. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 5 TVs. It costs $50 to place anorder. It costs the company $500 in lost sales when a customer asks for a TV and the warehouse is out of stock. It costs $100 to keep each TV stored in the warehouse. If a customer cannot purchase a TV when it is requested, the customer will not wait until one comes in but will go to a competitor.The following probability distribution for demand for TV has been and the time required to receive an order once it is placed (lead time) has the following probability distribution: (Attached)
The company has 3 TVs in stock. Orders are always received at the beginning of the week.Note that a lead time of 2 weeks imply that an order placed in week one will arrive in week 4.
The time required to receive an order…
CWD Electronics sells Televisions (TV), which it orders from the USA. Because of shipping and
handling costs, each order must be for 10 TVs. Because of the time it takes to receive an order, the
company places an order every time the present stock drops to 5 TVs. It costs $50 to place an
order. It costs the company $200 in lost sales when a customer asks for a TV and the warchouse
is out of stock. It costs $50 to keep each TV stored in the warehouse. If a customer cannot purchase
a TV when it is requested, the customer will not wait until one comes in but will go to a competitor.
The following probability distribution for demand for TV has been and the time required to
recæive an order once it is placed (lead time) has the following probability distribution:
Lead time (weeks) Probability
Demand/
week
Probability
0.45
0.15
2
0.30
025
0.25
3
0.40
020
The company has 10 TVs in stock. Orders are always received at the beginning of the week.
Note that a lead time of 2 weeks imply that an…
FRUIT COMPUTER COMPANY
Fruit Computer Company manufactures memory chips in batches of ten chips. From past experience, Fruit knows that 80% of all batches contain 10% (1 out of 10) defective chips, and 20% of all batches contain 50% (5 out of 10) defective chips. If a good (that is, 10% defective) batch of chips is sent to the next stage of production, processing costs of $4000 are incurred, and if a bad batch (50% defective) is sent on to the next stage of production, processing costs of $16000 are incurred. Fruit also has the alternative of reworking a batch at a cost of $4000. A reworked batch is sure to be a good batch. Alternatively, for a cost of $400, Fruit can test one chip from each batch in an attempt to determine whether the batch is defective.
QUESTIONS
1.Determine a strategy so Fruit can minimize the expected total cost per batch.
2.Compute the EVSI and EVPI.
Chapter 4 Solutions
Practical Management Science
Ch. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 3PCh. 4.2 - Prob. 4PCh. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Prob. 10P
Ch. 4.3 - Prob. 11PCh. 4.3 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - Prob. 19PCh. 4.5 - Prob. 20PCh. 4.5 - Prob. 21PCh. 4.5 - Prob. 22PCh. 4.5 - Prob. 23PCh. 4.5 - Prob. 24PCh. 4.5 - Prob. 25PCh. 4.6 - Prob. 26PCh. 4.6 - Prob. 27PCh. 4.6 - Prob. 28PCh. 4.6 - Prob. 29PCh. 4.7 - Prob. 30PCh. 4.7 - Prob. 31PCh. 4.7 - Prob. 32PCh. 4.7 - Prob. 33PCh. 4.7 - Prob. 34PCh. 4.7 - Prob. 35PCh. 4.7 - Prob. 36PCh. 4.7 - Prob. 37PCh. 4.7 - Prob. 38PCh. 4.7 - Prob. 39PCh. 4.7 - Prob. 40PCh. 4.8 - Prob. 41PCh. 4.8 - Prob. 42PCh. 4.8 - Prob. 43PCh. 4.8 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - You want to take out a 450,000 loan on a 20-year...Ch. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98PCh. 4 - Prob. 99PCh. 4 - Prob. 100PCh. 4 - Prob. 101PCh. 4 - Prob. 102PCh. 4 - Prob. 103PCh. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - Prob. 106PCh. 4 - Prob. 107PCh. 4 - Prob. 108PCh. 4 - Prob. 109PCh. 4 - Prob. 110PCh. 4 - Prob. 111PCh. 4 - Prob. 112PCh. 4 - Prob. 113PCh. 4 - Prob. 114PCh. 4 - Prob. 115PCh. 4 - Prob. 116PCh. 4 - Prob. 117PCh. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124PCh. 4 - Prob. 125PCh. 4 - Prob. 126PCh. 4 - Prob. 127PCh. 4 - Prob. 128PCh. 4 - Prob. 129PCh. 4 - Prob. 130PCh. 4 - Prob. 131PCh. 4 - Prob. 132PCh. 4 - Prob. 133PCh. 4 - Prob. 134PCh. 4 - Prob. 135P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.arrow_forwardJerry takes out a mortgage at 5.2%. After a few years, his payment increases and he sees that the interest rate of his mortgage is now 6.1%. Which of these mortgage types does Jerry most likely have? ARM loan home equity loan fixed-rate loan package mortgagearrow_forwardA trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return. Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues. At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free. Formulate the LP model for this problem. Create the spreadsheet model and use Solver to solve the problem. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forward
- A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the total annual return (before tax). Bond Annual Return Maturity Risk Tax-Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest as least 50% of the money in short-term issues and no more than 50% in high-risk issues. At least 30% of the funds should go in tax-free investments, and at least 40% of the total annual return should be tax free. Suppose the decision variable represents the amount of money invested in bond for . Formulate a linear programming (LP) model to solve the optimal strategy. 1. Write down the constraint using the defined decision variables requiring “invest as least 50% of the money in short-term issues”. 2. Write down the constraint using the defined decision…arrow_forwardInvestment A woman invests $360,000 in three different mutual funds. One averages 12% per year,and another averages 16% per year. A third fundaverages 8% per year, and because it has much lessrisk, she invests twice as much in it as in the sum ofthe other two funds. To realize an annual return of$35,200, how much should she invest in each fund?arrow_forwardYou operate a small wooden toy company making two products: alphabet blocks and wooden trucks. Your profit is $30 per box of blocks and $40 per box of trucks. Producing a box of blocks requires one hour of woodworking and two hours of painting; producing a box of trucks takes three hours of woodworking, but only one hour of painting. You employ three woodworkers and two pointers, each working 40 hours a week. How many boxes of block (B) and trucks (T) should you make each week to maximize profit? Solve graphically as a linear program and confirm analytically.arrow_forward
- Stock in Company A sells for $89 a share and has a 3-year average annual return of $24 a share. The beta value is 1.26. Stock in Company B sells for $83 a share and has a 3-year average annual return of $18 a share. The beta value is 1.13. Derek wants to spend no more than $19,000 investing in these two stocks, but he wants to earn at least $2100 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy. Set up the linear programming problem. Let a represent the number of shares of stock in Company A, b represent the number of shares of stock in Company B, and z represent the total beta value. Minimize z3 1.26а + 1.13b subject to 89а + 83b s 19000 24a + 18b > 2100 a 2 0, b20. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) Derek should buy 88 share(s) of stock in Company A and 0 share(s) of stock in Company B. (Round to the nearest integer as needed.)arrow_forwarda. Which of the following best describes the meaning of the equation P(25) = 200? 1. When 200 calculators are sold, the profit is $25. II. When 200 calculators are sold, the profit is increasing at a rate of $25 per additional calculator III. When 25 calculators are sold, the profit is $200. IV. When 25 calculators are sold, the profit is increasing at a rate of $200 per additional calculatoarrow_forwardA Las Vegas, Nevada, manufacturer has the option to make or buy one of its component parts. The annual requirement is 20,000 units. A supplier is able to supply the parts for $10 per piece. The firm estimates that it costs $600 to prepare the contract with the supplier. To make the parts in-house, the firm must invest $50,000 in capital equipment, and the firm estimates that it costs $8 per piece to make the parts in-house. Assuming that cost is the only criterion, use breakeven analysis to determine whether the firm should make or buy the item. 1. What is the breakeven quantity? 2. Should the manufacturer Make or Buy? 3. What is the cost savings using your decision in number 2 (above)? Show the total cost for each scenario then the savings amount.arrow_forward
- Irwin’s sells a particular model of fan, with most of the sales being made in thesummer months. Irwin’s makes a one-time purchase of the fans prior to eachsummer season at a cost of $40 each and sells each fan for $60. Any fans unsoldat the end of the summer season are marked down to $29 and sold in a special fallsale. Virtually all marked-down fans are sold. The following is the number of salesof fans during the past 10 summers: 30, 50, 30, 60, 10, 40, 30, 30, 20, 40.a. Estimate the mean and the variance of the demand for fans each summer.b. Assume that the demand for fans each summer follows a normal distribution,with mean and variance given by what you obtained in part (a). Determine theoptimal number of fans for Irwin’s to buy prior to each summer season.c. Based on the observed 10 values of the prior demand, construct an empiricalprobability distribution of summer demand and determine the optimal numberof fans for Irwin’s to buy based on the empirical distribution.d. Based on your…arrow_forwardIn an oil company, its south refinery produces per day 300 barrels of high grade oil, 200 barrels of medium grade oil and 150 barrels of low grade oil. The cost of operation of this refinery amounts to P 600,000 per day. The north refinery of the company produces each day 100 barrels of high grade oil and 100 barrels of medium-grade oil and 150 of low-grade oil. Which has a total of P500,000 operational costs. If the company’s production requirement is at least 900 barrels for high-grade oil, 800 barrels for medium-grade oil, and 750 for low-grade oil, how many days, are required for each refinery to operate to obtain the minimum cost?arrow_forwardIn Macroland there is $8,000,000 in currency. The public holds 60% of the currency and banks hold the rest as reserves. If banks' desired reserve/deposit ratio is 12.5 percent, deposits in Macroland equal and the money supply equals _.\a. $38,400,000; $41,600,000 b. $41,600,000; $ 41,600,000 c. $38,400,000; $ 46,400,000 d. $64,000,000; $ 64,000,000arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,