Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter B, Problem 5P
Summary Introduction
To determine: The best product mix using linear programming.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Company ZWZ manufactures three products in a serial system; Product XA is manufactured in Stage 1, Product XB in Stage 2, and XC in Stage 3. Product XB has a sales potential in the market; hence, some of it can be sold at the end of Stage 2, and
the remaining can be moved to Stage 3. The third stage produces Product XC, and then delivers it to customers. Two units of Product XA produced in Stage 1 are required for each unit of Product XB in Stage 2. In addition, four units of Product XB
produced in Stage 2 are required for each unit of Product XC in Stage 3.
Stage 1 can only use regular time; however, Stage 2 has the options of using regular time and overtime in manufacturing. On the other hand, Stage 3 has only one alternative, which is subcontracting. The pertinent data are provided below:
Stage 2
Stage 1
11
No overtime
No
subcontracting
No sales
0.07
Unit regular time cost (TL)
Unit overtime cost (TL)
Unit subcontracting cost (TL)
Unit selling price (TL)
Unit processing time (hrs)…
Kala is one of the top manufacturer of ukuleles. The manufacturer produces three different
types of ukuleles. Its Concert produce $6 in profit per unit; its Soprano produce $4 in profit
per unit; and its Tenor produce $8 in profit per unit. Each type of ukulele passes through three
manufacturing stages as a part of the entire production process. The three process centers of
modelling, curing and assembly has an available production time per day of 12 hours, 14
hours and 16 hours, respectively. To produce one hundred units of Concert, the time required
for the process of modelling, curing and assembly is 2 hours, 3 hours and 2 hours,
respectively. To produce one hundred units of Soprano, 2 hours of modelling, 2 hours of
curing and 1 hour of assembly is required. Whereas 4 hours of modelling, 2 hours of curing
and 2 hours of assembly is required to produce one hundred units of Tenor. Sensitivity report
of the problem is given as below where C = unit of Concert to be produced each day, S…
A manufacturing plant produces a product 'A' that requires one unit of 'B' and ½ unit of 'C'. Each unit of 'B' is comprised of one unit of 'D', two units of 'E', and one unit of 'F'. Each unit of 'C' requires ½ unit of 'G' and three units of 'H'. The manufacturing lead times for the components are as follows: 'A' - two weeks, 'B' - one week, 'C' - two weeks, 'D' - two weeks, 'E' - three weeks, 'F' - one week, 'G' - two weeks, 'H' - one week. There are 20 units in stock for each of these components. 100 units of 'A' are needed for delivery in seven weeks: a) Develop the product structure and indexed bill of materials for the product. b) Create a gross and net requirements plan for the manufacturer of the product.
Chapter B Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 9PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 13PCh. B - Prob. 14PCh. B - Prob. 22PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - Prob. 30PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 37PCh. B - Prob. 38PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 40PCh. B - Prob. 41PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Prob. 1.1VCCh. B - Prob. 1.2VCCh. B - Prob. 1.3VCCh. B - Prob. 1.4VC
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
- Formtech Inc. produces transformers. Each order is custom designed and manufactured for the customer. Each order goes through 3 phases: Transformer Design, which takes 4 weeks. Procurement, which has a lead time of 8 weeks. Assembly and Testing, which takes 4 weeks The design group can handle only 4 projects at any given time. The other groups are not capacity constrained. How much total work-in-process (number of projects started but not yet completed) does the company typically have? (Hint: Little's Law)arrow_forwardAn assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for a container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? 5 containers. (Enter your response rounded up to the next whole number.) b. How many containers are needed for widjits? containers. (Enter your response rounded up to the next whole number.)arrow_forwardAn assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? containers. (Enter your response rounded up to the next whole number.)arrow_forward
- h4q3barrow_forwardJCL Inc. is a major chip manufacturing firm that sells its products to computer manufacturers like Dell, HP, and others. In simplified terms, chip making at JCL Inc. involves three basic operations: depositing, patterning, and etching. Depositing: Using chemical vapor deposition (CVD) technology, an insulating material is deposited on the wafer surface, forming a thin layer of solid material on the chip. Patterning: Photolithography projects a microscopic circuit pattern on the wafer surface, which has a light-sensitive chemical like the emulsion on photographic film. It is repeated many times as each layer of the chip is built. Etching: Etching removes selected material from the chip surface to create the device structures. The following table lists the required processing times and setup times at each of the steps. Assume that the unit of production is a wafer, from which individual chips are cut at a later stage. Note: A setup can only begin once the batch has arrived at the…arrow_forwardJCL Inc. is a major chip manufacturing firm that sells its products to computer manufacturers like Dell, Gateway, and others. In simplified terms, chip making at JCL Inc. involves three basic operations: depositing, patterning, and etching. Depositing: Using chemical vapor deposition (CVD) technology, an insulating material is deposited on the wafer surface, forming a thin layer of solid material on the chip. Patterning: Photolithography projects a microscopic circuit pattern on the wafer surface, which has a light-sensitive chemical like the emulsion on photographic film. It is repeated many times as each layer of the chip is built. Etching: Etching removes selected material from the chip surface to create the device structures. The table below lists the required processing times and setup times at each of the steps. There is unlimited space for buffer inventory between these steps. Assume that the unit of production is a wafer, from which individual chips are cut at a later…arrow_forward
- Will’s Welded Widgets (WWW) makes its Q Model from components R, S, and T. Component R is made from 2 units of component X and 2 unit of component Y. Component T is made from 1 unit of component V and 2 units of component Z. Calculate the gross requirements for each of the components when the company plans to build 70 of its Q Model if you have these inventories: 70 units of component T and 110 units of component R, using the given information: Item Usage per Parent Q - R 2 S 2 T 1 X 2 Y 2 V 1 Z 2 Q R S T X Y V Z Put the answers down into the table: (If answer is zero, please enter 0, do not leave any fields blank.) Product Gross Requirements Q…arrow_forwardGreen Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $275 and $225, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (round your response to two decimal places).arrow_forwardplease provide excel sheet calculationsarrow_forward
- 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…arrow_forwardGreen Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. AT1 truck and a C1 car yield profits of $325 and $250, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = 12.50 (round your response to two decimal places). Number of cars to be produced per day = 37.50 (round your response to two decimal places). Optimal solution value =(round your response to two decimal places).arrow_forwardGreen Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. AT1 truck and a C1 car yield profits of $325 and $220, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = 240 (round your response to two decimal places).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,