4. Aggregate capacity management (12 marks) A manufacturing company is setting up a production plan for...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
4. Aggregate capacity management (12 marks) A manufacturing company is setting up a production plan for the product it produces over four seasons. It operates for 60 days per season and for 8 hours per day. The sales contract of the demand for each season is as follows: Autumn: 9,800 units, Winter: 8,800 units, Spring: 7,800 units, and Summer: 9,200 units. At the beginning of Autumn, the company employed 35 workers and held 80 units of inventory. The productivity for each worker is 0.5 unit per hour and workers must work at the full capacity during each season. • Straight time labour cost is $10 per hour • Overtime labour cost is $15 per hour • Backorder cost is $30 per unit-season • Inventory holding cost is $20 per unit-season • Hiring cost is $400 per worker • Laying off cost is $600 per worker a) Set up a complete production plan for the four seasons which produces the most efficient (lowest) total production cost under the following condition. The company can only hire or lay off workers during the Summer season, but no inventory is allowed at the end of the Summer season. Overtime is only allowed during the Winter and Spring seasons at the maximum of 3,000 hours for each season and it can only be used for reducing backorders in these seasons. Explain clearly the logic behind your production plan (4 marks). b) The company simplifies its production plan by keeping 35 workers over the four seasons. Overtime, ending inventory, and backorders are allowed in all seasons except in Summer. Construct a complete production plan over the four seasons to produce the most efficient (lowest) total production cost, and explain clearly the logic behind your plan (4 marks). c) The company is now allowed to change the number of workers employed in each season; however, it is also required to keep safety stock at the amount of 20% of the demand for each season. Backorder, overtime, and inventory (other than safety stock) are not allowed. This means that workers do not have to work at their full capacity, but they will still be paid at the full amount based on the available working hours in the season. Construct the production plan and their associated costs (including the cost for safety stock) for this scenario. Also, calculate the workers' utilisation rate over the four seasons (4 marks). 4. Aggregate capacity management (12 marks) A manufacturing company is setting up a production plan for the product it produces over four seasons. It operates for 60 days per season and for 8 hours per day. The sales contract of the demand for each season is as follows: Autumn: 9,800 units, Winter: 8,800 units, Spring: 7,800 units, and Summer: 9,200 units. At the beginning of Autumn, the company employed 35 workers and held 80 units of inventory. The productivity for each worker is 0.5 unit per hour and workers must work at the full capacity during each season. • Straight time labour cost is $10 per hour • Overtime labour cost is $15 per hour • Backorder cost is $30 per unit-season • Inventory holding cost is $20 per unit-season • Hiring cost is $400 per worker • Laying off cost is $600 per worker a) Set up a complete production plan for the four seasons which produces the most efficient (lowest) total production cost under the following condition. The company can only hire or lay off workers during the Summer season, but no inventory is allowed at the end of the Summer season. Overtime is only allowed during the Winter and Spring seasons at the maximum of 3,000 hours for each season and it can only be used for reducing backorders in these seasons. Explain clearly the logic behind your production plan (4 marks). b) The company simplifies its production plan by keeping 35 workers over the four seasons. Overtime, ending inventory, and backorders are allowed in all seasons except in Summer. Construct a complete production plan over the four seasons to produce the most efficient (lowest) total production cost, and explain clearly the logic behind your plan (4 marks). c) The company is now allowed to change the number of workers employed in each season; however, it is also required to keep safety stock at the amount of 20% of the demand for each season. Backorder, overtime, and inventory (other than safety stock) are not allowed. This means that workers do not have to work at their full capacity, but they will still be paid at the full amount based on the available working hours in the season. Construct the production plan and their associated costs (including the cost for safety stock) for this scenario. Also, calculate the workers' utilisation rate over the four seasons (4 marks).
Expert Answer:
Answer rating: 100% (QA)
a Autumn Produce 9800 units 35 workers 80 units of inventory 05 unit per hour productivity Straight time labour cost is 10 per hour Overtime labour cost is 15 per hour Backorder cost is 30 per unitsea... View the full answer
Related Book For
Statistics The Art and Science of Learning from Data
ISBN: 978-0321997838
4th edition
Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Posted Date:
Students also viewed these organizational behavior questions
-
Refer to Activity 2 on page 21. a. Repeat the activity using a population proportion of 0.60: Take at least five samples of size 10 each; observe how the sample proportions of successes vary around...
-
Select any Company and get a copy of its annual report. Just write an outline of the company's annual report. The outline must contain the following: 1. Introduction 2. Background 3. Liquidity Ratios...
-
Silver River Company sells Products S and T and has made the following estimates for the coming year: Product Unit Selling Price Unit Variable Cost Sales Mix S $30 $24 60% T 70 56 40 Fixed costs are...
-
Kenny operates a store, where he sells feed and other supplies to farmers. Heather purchases a $20,000 tractor from Kenny and pays Kenny with $18,000 in cash and $2,000 in corn. How much gross income...
-
The values of existing homes are not included in a nation's AD, yet their compression in 2008 caused a decline in AD during the Great Recession. Explain the cause and effect relationship.
-
A bale of hay sits on the bed of a trailer. The trailer is starting to accelerate forward, and the bale is slipping toward the back of the trailer. Describe a situation. For each problem, draw a...
-
Samples of groundwater were taken from 5 different toxic-waste dump sites by each of 3 different agencies: the EPA, the company that owned each site, and an independent consulting engineer. Each...
-
Use the Codification to identify accounting authority (location within the Codification) governing each of the following: a. The accounting for prepaid advertising b. The accounting for...
-
1: In a short paragraph, examine what the term economics actually is. In your description, be sure to relate why scarcity exists, how society gets resources, and how people make decisions on how to...
-
1.(20 pts) (Exercise 14.21) Consider the query P(Rain | Sprinkler = true, WetGrass = true) in the figure below and how Gibbs sampling can answer it. Sprinkler CP(Sc) .10 50 P(C=.5) Cloudy WetGrass...
-
A projectile is shot upward form 10 meters above the surface of Earth with an initial velocity of 50 meters per second. Its position s(t) measured in meters at time t seconds later is given by s(t) =...
-
George Kritopoulos, 50, Salem, Massachusetts, a real estate developer was sentenced to four years in prison today in connection with a decade-long mortgage fraud scheme involving at least two dozen...
-
Sam was charged with a Part III Offence. She was served with a summons to appear in court on November 09, 2023. She retained Ari from PR LLP, a boutique Paralegal firm that runs and carries on...
-
Find solutions of + 2 == -6 x-1 x+2x+x=2
-
What is the return on investment? Assume a company reported the following results: Sales Variable expenses Contribution margin Fixed expenses Net operating income Average operating assets $ 400,000...
-
The claimant is a 23-year-old woman who fears discrimination and harassment in her country of origin. She alleges that she is a member of a minority group that is treated badly in her country and...
-
two discounts are given on Deluxe Touring Bike (Black). ? What are the two types of discounts and what is the total amount of discount on one bike? I... CnTy Name PR00 Price Gross Value K004 Material...
-
The National Collegiate Athletic Association (NCAA) and the National Federation of State High School Associations (NFHS) set a new standard for non-wood baseball bats. Their goal was to ensure that...
-
Consider the population of all students at your school. A certain proportion support mandatory national service (MNS) following high school. Your friend randomly samples 20 students from the school...
-
Consider the data: x 3 4 5 6 7 y 8 13 12 14 16 a. Sketch a scatter plot. b. If one pair of (x, y) values is removed, the correlation for the remaining four pairs equals 1. Which pair is it? c. If...
-
Using the Internet, find a study about cell phone use and its potential risk when used by drivers of automobiles. a. Was the study an experiment or an observational study? b. Identify the response...
-
The rotor of Figure P1.6 consists of a disk mounted on a shaft. Unfortunately, the disk is unbalanced, and the center of mass is a distance \(e\) from the center of the shaft. As the disk rotates,...
-
The machine of Figure P1.5 has a vertical displacement \(x(t)\). The machine has a component which rotates with a constant angular speed \(\omega\). The center of mass of the rotating component is a...
-
The velocity of the block of the system of Figure P1.11 is \(\dot{y}=0.02 \sin 20 t \mathrm{~m} / \mathrm{s}\) downward. (a) What is the clockwise angular displacement of the pulley? (b) What is the...
Study smarter with the SolutionInn App