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 21P
Summary Introduction
To modify: The spreadsheet model with the new assumption.
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
please solve within 30 minutes....
A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.Rock type-------Cost-------% gypsum-------Amount Available1-------------------$1.00-----------2.0%-----------5002-------------------$5.00-----------5.0%-----------6003-------------------$5.50-----------4.5%-----------7004-------------------$2.00-----------3.0%-----------4005-------------------$1.20-----------6.0%-----------450
Order No.--------------------1----------2----------3---------4Order Size------------------500------600------500------350Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%What is the cheapest way to fill the orders?
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.)
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
- Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?arrow_forwardThe Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each month. The company has decided to use a six-month planning horizon. The forecasted monthly demands for the next six months are 10,000, 15,000, 30,000, 35,000, 25,000, and 10,000. Pigskin wants to meet these demands on time, knowing that it currently has 5000 footballs in inventory and that it can use a given months production to help meet the demand for that month. (For simplicity, we assume that production occurs during the month, and demand occurs at the end of the month.) During each month there is enough production capacity to produce up to 30,000 footballs, and there is enough storage capacity to store up to 10,000 footballs at the end of the month, after demand has occurred. The forecasted production costs per football for the next six months are 12.50, 12.55, 12.70, 12.80, 12.85, and 12.95, respectively. The holding cost incurred per football held in inventory at the end of any month is 5% of the production cost for that month. (This cost includes the cost of storage and also the cost of money tied up in inventory.) The selling price for footballs is not considered relevant to the production decision because Pigskin will satisfy all customer demand exactly when it occursat whatever the selling price is. Therefore. Pigskin wants to determine the production schedule that minimizes the total production and holding costs. Can you guess the results of a sensitivity analysis on the initial inventory in the Pigskin model? See if your guess is correct by using SolverTable and allowing the initial inventory to vary from 0 to 10,000 in increments of 1000. Keep track of the values in the decision variable cells and the objective cell.arrow_forwardThe Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each month. The company has decided to use a six-month planning horizon. The forecasted monthly demands for the next six months are 10,000, 15,000, 30,000, 35,000, 25,000, and 10,000. Pigskin wants to meet these demands on time, knowing that it currently has 5000 footballs in inventory and that it can use a given months production to help meet the demand for that month. (For simplicity, we assume that production occurs during the month, and demand occurs at the end of the month.) During each month there is enough production capacity to produce up to 30,000 footballs, and there is enough storage capacity to store up to 10,000 footballs at the end of the month, after demand has occurred. The forecasted production costs per football for the next six months are 12.50, 12.55, 12.70, 12.80, 12.85, and 12.95, respectively. The holding cost incurred per football held in inventory at the end of any month is 5% of the production cost for that month. (This cost includes the cost of storage and also the cost of money tied up in inventory.) The selling price for footballs is not considered relevant to the production decision because Pigskin will satisfy all customer demand exactly when it occursat whatever the selling price is. Therefore. Pigskin wants to determine the production schedule that minimizes the total production and holding costs. Modify the Pigskin model so that there are eight months in the planning horizon. You can make up reasonable values for any extra required data. Dont forget to modify range names. Then modify the model again so that there are only four months in the planning horizon. Do either of these modifications change the optima] production quantity in month 1?arrow_forward
- The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each month. The company has decided to use a six-month planning horizon. The forecasted monthly demands for the next six months are 10,000, 15,000, 30,000, 35,000, 25,000, and 10,000. Pigskin wants to meet these demands on time, knowing that it currently has 5000 footballs in inventory and that it can use a given months production to help meet the demand for that month. (For simplicity, we assume that production occurs during the month, and demand occurs at the end of the month.) During each month there is enough production capacity to produce up to 30,000 footballs, and there is enough storage capacity to store up to 10,000 footballs at the end of the month, after demand has occurred. The forecasted production costs per football for the next six months are 12.50, 12.55, 12.70, 12.80, 12.85, and 12.95, respectively. The holding cost incurred per football held in inventory at the end of any month is 5% of the production cost for that month. (This cost includes the cost of storage and also the cost of money tied up in inventory.) The selling price for footballs is not considered relevant to the production decision because Pigskin will satisfy all customer demand exactly when it occursat whatever the selling price is. Therefore. Pigskin wants to determine the production schedule that minimizes the total production and holding costs. As indicated by the algebraic formulation of the Pigskin model, there is no real need to calculate inventory on hand after production and constrain it to be greater than or equal to demand. An alternative is to calculate ending inventory directly and constrain it to be nonnegative. Modify the current spreadsheet model to do this. (Delete rows 16 and 17, and calculate ending inventory appropriately. Then add an explicit non-negativity constraint on ending inventory.)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_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
- A bakery that orders cartons of bread mix has used an EOQ model to determine that an order quantity of 90 cartons per order is economically optimal. The bakery needs 150 cartons per month to meet demand. It takes L days for the bakery’s supplier to deliver an order. When should the bakery place its orders when L = 2, when L = 5, and when L = 10? (Assume that the bakery and its supplier both work seven-day weeks and that there are 30 days per month.)arrow_forwardA department store sells 10,000 pairs of pants per year. The store orders pants from a regional warehouse. Each time an order is placed, an ordering cost of $45 is incurred. The store pays $50 for each pair of pants, and the cost of holding $1 worth of inventory for a year is estimated to be the annual capital opportunity cost of 200. The department store believes that orders can be backlogged at the cost of s = $15 per pair per year. Determine A. The optimal order quantity. B. The maximum inventory level that will occur. C. The maximum shortage that will occur. %3Darrow_forwardPleasearrow_forward
- A home improvement store sells hydrangea plants during the spring planting season. The hydrangeas cost the store $15 per unit, and sell to customers for $45, but any leftovers at the end of the season are salvaged to a local landscaper for $7/unit. A competitor has advertised that it guarantees 99% of customers find the product they’re looking for in stock. The competitor’s posted price for hydrangeas is $50, and they salvage to the same local landscaper for $7/ hydrangea plant. If the competitor’s advertised service level is correct for hydrangeas and they follow an optimal stocking policy, what does it imply their cost per hydrangea is?arrow_forwardAn electronics company has two contract manufacturers in Asia. Foxconn assembles its tablets and smart phones while Flextronics assembles its laptops. Monthly demand for tablets and smartphones is 10,000 units while that for laptops is 4,000. Tablets cost the company $100 while laptops cost $400 and the company has a holding cost of 25 percent. Currently the company has to place separate orders with Foxconn and Flextronics and receives separate shipments. The fixed cost of each shipment is $10,000. (15 points) Answer the following question: a. What is the optimal order size and order frequency with each of Foxconn and Flextronics. Draw inventory profile for each product? Consider the following changes and answer the questions below The company is thinking of combining all assembly with the same contract manufacturer. This will allow for a single shipment of all products from Asia. b. If the fixed cost of each shipment remains $??? (As modified by you), what is the…arrow_forwardplease solve it on a paperarrow_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,