Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3.8, Problem 23P
Summary Introduction
To determine: The change in the optimal production
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1. Solve the following exercise using dynamic programming: a company distributes an article with a demand of 15,000 articles per year, it is Considering that annual retention costs are $5 per item, it is estimated that the demand is delayed and this causes a cost of $10 per year. Everytime that an order is placed this causes costs of $50. The demand during the time of delivery follows a normal distribution with means of 200 units and a variance of 5 units.
4b.
Originally, the depositor intended to make two $100 withdrawals, the first in 2022 and the second in 2026, emptying an
account that earns 5% interest, compounded annually. Now, suppose the depositor changes their mind (i.e., does not make
these two withdrawals) and instead decides to empty the account with a single withdrawal in 2025. What is the withdrawal
amount that would empty the account? (The original data must be used; that is, the answer to [4a] may only be used to verify
the answer to this question.)
XYZ is a multinational corporation based in the US. Its manufacturing facilities arelocated in Pittsburgh and hence its labor and manufacturing costs are incurred in USdollars (USD). A large fraction of its sales, however, are made to German customers whopay for the goods in Deutschemarks (GDM). There is a six-month lead time between theplacement of a customer order and delivery of the product. XYZ's cost of production is80% of the sale price. Suppose XYZ receives a $1MM GDM order and that the currentUSD/GDM exchange rate is 0.60 (i.e. 1 GDM = 0.60 USD). The cost of production of thisorder is $480,000 (0.60 x $1MM x 0.80). The exchange rate six months from now is, ofcourse, uncertain in which case XYZ is exposed to exchange rate risk.RequiredExplain how the company can use forward contract for hedging purposes
Chapter 3 Solutions
Practical Management Science
Ch. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.7 - Prob. 10P
Ch. 3.7 - Prob. 11PCh. 3.7 - Prob. 12PCh. 3.7 - Prob. 13PCh. 3.7 - Prob. 14PCh. 3.7 - Prob. 15PCh. 3.7 - Prob. 16PCh. 3.7 - Prob. 17PCh. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - Prob. 21PCh. 3.8 - Prob. 22PCh. 3.8 - Prob. 23PCh. 3.8 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 1C
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_forward6. Ah Seng Coffeeshop needs to decide in November 2021 how many Chinese New Year cups to order to sell at his coffeeshop. Because the cups are specially made for the year 2022 (year of the tiger), those that are unsold by end of February 2022 are considered a loss. These specially- designed cups sell for $23.95 and cost $6.75 each. Ah Seng is uncertain of the demand. He believes that there is a 25% chance that they will sell 10,000 cups, a 50% chance that they will sell 15,000 and a 25% chance that they will sell 20,000. a) Construct decision tree and cumulative risk profiles for the problem above using Precision Tree b) Now, assume that any unsold cups are discounted and can be sold for $5 after February 2022. How does this affect the decision?arrow_forwardProblem 4 In a known company, the demand for a product follows a normal distribution. Based on past data, you calculated a weekly average of 30 units with a standard deviation of 7 units. The supplier can deliver each unit and takes 5 weeks at a cost per unit of $25. The supplier lead time has a standard deviation of 1 week. Every time you place an order to the supplier will cost $45, and the inventory holding cost is $2.00 per unit per year. No stockouts are allowed because there is a cost of $2,000 Istockout. The company operates 45 weeks per year. What is the economic order quantity? а. b. What is the optimal reorder point and the safety stock at a service level of 95%?arrow_forward
- Dorothy lacks cash to pay for a $840.00 dishwasher. She could buy it from the store on credit by making 12 monthly payments of $71.52. The total cost would then be $858.24. Instead, Dorothy decides to deposit $70.00 a month in the bank until she has saved enough money to pay cash for the dishwasher. One year later, she has saved $882.00—$840.00 in deposits plus interest. When she goes back to the store, she finds the dishwasher now costs $886.20. Its price has gone up 5.50 percent. Was postponing her purchase a good trade-off for Dorothy?arrow_forwardThe Hawkins Supply Company is currently faced with an inventory rotation problem. This difficulty stems from the fact that some supplies must be used prior to a stated expiration date. Upon receipt, a new shipment of these perishable items must be stacked beneath the boxes that are currently in inventory. A substantial amount of time is consumed in restacking the items according to their expiration dates.The company would like to reduce the double and sometimes triple handling of items. How can this goal be achieved? Are there alternative solutions which might also be effective?arrow_forwardDemand over the next five months is forecasted as 300, 200, 300, 400, and 500 units, respectively. Unit regular time and overtime production costs are $10 and $15, respectively. Total overtime production capacity is 1000 units for the next five months. Regular time production capacity is 300 units per month. Beginning inventory is 200 units. Holding cost is $5 per unit per month. What is the total cost (in $) over the next five months if the company has to meet the demand with no ending inventory each month? O a 17,750 Ob. 17,450 O . 16,950 O d. 16,750 O e. 16,500arrow_forward
- you own a furniture store and you are in the process of planning the production of wooden chairs for the next six months. your demand forecast for wooden chairs for the next six months is 150,100,200,300,50,200. you currently stock 50 chairs in stock. one of your customers informed you that they would be returning 50 additional chairs to you and you expect to receive these returns in month 2. you currently employ 10 skilled employees who work entirely making chairs. in the last six months they were able to make 900 chairs working full time. you are considering two alternative production plans: constant workforce level for the next six months and meet all demand on time. adjust your workforce level only once over the next six months after month 0. ( no still backlogging). hiring cost per employee=$1000holding cost monthly per chair=$10 lay off cost per emloyee=$2000payroll cost monthly per employee=$2000 implement each alternative to obtain the least total cost. solve this question…arrow_forwardyou own a furniture store and you are in the process of planning the production of wooden chairs for the next six months. your demand forecast for wooden chairs for the next six months is 150,100,200,300,50,200. you currently stock 50 chairs in stock. one of your customers informed you that they would be returning 50 additional chairs to you and you expect to receive these returns in month 2. you currently employ 10 skilled employees who work entirely making chairs. in the last six months they were able to make 900 chairs working full time. you are considering two alternative production plans: constant workforce level for the next six months and meet all demand on time. adjust your workforce level only once over the next six months after month 0. ( no still backlogging). hiring cost per employee=$1000holding cost monthly per chair=$10 lay off cost per emloyee=$2000payroll cost monthly per employee=$2000 implement each alternative to obtain the least total cost. solve this question with…arrow_forwardThe accompanying table shows a bookstore's estimated demand for a new calendar. The bookstore needs to decide whether to order100, 200, or 300 calendars for the start of the year. Each calendar costs the store$5 to purchase and can be sold for $13. The store can sell any unsold calendars back to its supplier for $3 each. Determine the number of calendars the bookstore should order to maximize its expected monetary value. Demand Probability 100 0.35 200 0.25 300 0.40 The bookstore should order---------calendars in order to have the maximum expected monetary value of $----- (Type a whole number.)arrow_forward
- Inventory A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of book: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock. Hard Soft Plastic San Francisco 3,000 5,000 6,000 Los Angeles 2,000 4,000 3,000 Suppose its sales in January were as follows: 700 hardcover books, 1,300 softcover books, and 1,900 plastic books sold in San Francisco, and 400 hardcover, 200 softcover, and 400plastic books sold in Los Angeles. Write the given inventory table as a 2 ✕ 3 matrix. Write the given sales figures as a similar matrix. Compute the inventory remaining in each store at the end of January.arrow_forward3. A company which produces a single product has definite orders for this product over the next six months as follows: 1 2 3 4 5 6 Month Demand 350 680 475 590 460 390 The company ended the previous month (month 0) with an inventory of 200 units, and the previous month production level was 400 units. The company wishes to end this six-month planning period with an inventory of at least 50 units. It costs $3.50 per unit to increase the production level from one month to the next, and $6.00 per unit to decrease it. The cost of holding inventory from one month to the next is $4.80 per unit per month. No shortages are permitted. In each month. the company wants to produce an integer number of units. The company wishes to minimize the sum of production level change costs and inventory costs over the six-month planning horizon.arrow_forwardI need a detailed assistance to solve the following problem in: Operations Analysis. 1) A trucking company maintains an inventory of trucks that varies monthly. The ending inventory of trucks during the first 8 months of the year (January to August) were 26, 38, 31, 22, 13, 9, 16, 5, respectively. The monthly inventory holding cost is proportional to the monthly ending inventory. Trucks incur the following costs Each truck costs the company $8,000. Interest rate on the cost of capital is 20% per annum (annually). Each truck incurs a storage cost of 3% per annum of the truck cost. Each truck incurs a liability insurance cost of 2% per annum of the truck cost. The carrying cost is the total of all costs (capital, storage and insurance.) What is the monthly carrying cost per truck? What is the total carrying cost incurred by the company over the 8 months (January to August)? What is the estimated average annual carrying cost?arrow_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,