Videos
A company must decide which type of machine to buy, and how many units of that type, given the following information:
Product demand and processing times for the equipment are:
a. How many machines of each type would be required to handle demand if the machines will operate 8 hours a day, 250 days a year, and what annual capacity cushion in processing time would result for each?
b. With high certainty of annual demand, which type of machine would be chosen if that was an important consideration?
c. If purchasing and operating costs are taken into account, which type of machine would minimize total costs, given your answer for part a? Operating costs are $6/hr for type 1 and $5/hr for type 2.
a)
To determine: The number of machines of each type required to handle the demand and its capacity.
Introduction: Capacity planning is the process of planning the required production output based on the requirement or the demand that is predicted.
Answer to Problem 10P
Explanation of Solution
Given information:
A company should decide whether to buy machine of type 1 or type 2. The cost of type 1 machine is $10,000 and the cost of type 2 machine is $14,000.
Annual demand and processing unit is given as follows for each product:
| Product | Annual demand | Processing time per minute | |
| Type 1 | Type 2 | ||
| 001 | 12,000 | 4 | 6 |
| 002 | 10,000 | 9 | 9 |
| 003 | 18,000 | 5 | 3 |
Determine the number of machines of each type required and its capacity:
It is given that the machines will operate 60 minutes per hour, 8 hours per day and 250 days per year.
Determine the minutes available for machine type 1:
It is calculated by multiplying number of days per year, hours per day, and minutes per hour. Hence, the available minutes per year for machine type 1 is 120,000 minutes per year.
Determine the processing requirement of product 001 using machine type 1:
It is calculated by multiplying annual demand of product 001 and the processing time per unit on type 1. Hence, the processing requirements of product 001 using machine type 1 is 48,000 minutes.
Determine the processing requirement of product 002 using machine type 1:
It is calculated by multiplying annual demand of product 002 and the processing time per unit on type 1. Hence, the processing requirements of product 002 using machine type 1 is 90,000 minutes.
Determine the processing requirement of product 003 using machine type 1:
It is calculated by multiplying annual demand of product 003 and the processing time per unit on type 1. Hence, the processing requirements of product 003 using machine type 1 is 90,000 minutes.
Determine the total processing requirement using machine type 1:
It is calculated by adding the processing requirement of all the products. Hence, the total processing requirement using machine type 1 is 228,000 minutes.
Determine the needed number of machine type 1:
It is calculated by dividing the total processing requirement and available minutes for machine type 1. Hence, the needed number of machine type 1is 2 machines.
Determine the capacity of the machines:
It is calculated by multiplying the number of machine type 1 needed and the available minutes for machine type 1. Hence, the capacity of the machine is 240,000 minutes.
Determine the capacity cushion:
It is calculated by subtracting total processing requirement from capacity of machines.
Determine the minutes available for machine type 2:
It is calculated by multiplying number of days per year, hours per day, and minutes per hour. Hence, the available minutes per year for machine type 2 is 120,000 minutes per year.
Determine the processing requirement of product 001 using machine type 2:
It is calculated by multiplying annual demand of product 001 and the processing time per unit on type 2. Hence, the processing requirements of product 001 using machine type 2 is 72,000 minutes.
Determine the processing requirement of product 002 using machine type 2:
It is calculated by multiplying annual demand of product 002 and the processing time per unit on type 2. Hence, the processing requirements of product 002 using machine type 2 is 90,000 minutes.
Determine the processing requirement of product 003 using machine type 2:
It is calculated by multiplying annual demand of product 003 and the processing time per unit on type 2. Hence, the processing requirements of product 003 using machine type 2 is 54,000 minutes.
Determine the total processing requirement using machine type 2:
It is calculated by adding the processing requirement of all the products. Hence, the total processing requirement using machine type 2 is 216,000 minutes.
Determine the needed number of machine type 2:
It is calculated by dividing the total processing requirement and available minutes for machine type 2. Hence, the needed number of machine type 2 is 2 machines.
Determine the capacity of the machines:
It is calculated by multiplying the number of machine type 2 needed and the available minutes for machine type 2. Hence, the capacity of the machine is 240,000 minutes.
Determine the capacity cushion:
It is calculated by subtracting total processing requirement from capacity of machines.
b)
To determine: The machine type that can be chosen for the high and low certainty of demand.
Introduction: Capacity planning is the process of planning the required production output based on the requirement or the demand that is predicted.
Answer to Problem 10P
Explanation of Solution
Given information:
A company should decide whether to buy machine of type 1 or type 2. The cost of type 1 machine is $10,000 and the cost of type 2 machine is $14,000.
Annual demand and processing unit is given as follows for each product:
| Product | Annual demand | Processing time per minute | |
| Type 1 | Type 2 | ||
| 001 | 12,000 | 4 | 6 |
| 002 | 10,000 | 9 | 9 |
| 003 | 18,000 | 5 | 3 |
Determine the machine type that can be chosen for the high and low certainty of demand:
The machine with the high capacity cushion should be selected, if the firm faced high certainty of annual demand. hence, machine type 2 should be selected.
The machine with the low capacity cushion should be selected, if the firm faced low certainty of annual demand. hence, machine type 1 should be selected.
c)
To determine: The machine type that would minimize the total cost, if purchasing and operating costs are considered.
Introduction: Capacity planning is the process of planning the required production output based on the requirement or the demand that is predicted.
Answer to Problem 10P
Explanation of Solution
Given information:
A company should decide whether to buy machine of type 1 or type 2. The cost of type 1 machine is $10,000 and the cost of type 2 machine is $14,000.
Annual demand and processing unit is given as follows for each product:
| Product | Annual demand | Processing time per minute | |
| Type 1 | Type 2 | ||
| 001 | 12,000 | 4 | 6 |
| 002 | 10,000 | 9 | 9 |
| 003 | 18,000 | 5 | 3 |
Operating cost is given as $6 per hour for type 1 and $5 per hour for type 2.
Determine the purchase cost for machine type 1:
It is calculated by multiplying the number of machines and cost of type 1 machine. Hence, the purchase cost for machine type 1 is $20,000.
Determine the total operating time for machine type 1:
Total operating time is the total processing requirement. It is calculated by adding the processing requirement of all the products. Hence, the total processing requirement using machine type 1 is 228,000 minutes.
Determine the total operating cost:
Total operating cost is calculated by multiplying the total operating time and the operating cost per hour. Hence, the total operating cost is $22,800.
Determine the total cost:
It is calculated by adding the purchasing cost of machine type 1 and total operating cost. Hence, the total cost is $42,800.
Determine the purchase cost for machine type 2:
It is calculated by multiplying the number of machines and cost of type 2 machine. Hence, the purchase cost for machine type 2 is $28,000.
Determine the total processing requirement using machine type 2:
Total operating time is the total processing requirement. It is calculated by adding the processing requirement of all the products. Hence, the total processing requirement using machine type 2 is 216,000 minutes.
Determine the total operating cost:
Total operating cost is calculated by multiplying the total operating time and the operating cost per hour. Hence, the total operating cost is $18,000.
Determine the total cost:
It is calculated by adding the purchasing cost of machine type 2 and total operating cost. Hence, the total cost is $46,000.
Hence, Machine type 1 would minimize the total cost.
Want to see more full solutions like this?
Chapter 5 Solutions
Operations Management
- The owner of Firewood To Go is considering buying a hydraulic wood splitter which sells for $50,000. He figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. If, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is anticipated to be 35 cords per day, what would be its utilization? 100 percent 80 percent 75 percent 70 percent 0 percent The owner of Firewood To Go is considering buying a hydraulic wood splitter which sells for $50,000. He figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. If, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is expected to be 32 cords per day, what would be its efficiency? 100 percent 80 percent 75 percent 70 percent 0 percentarrow_forwardCharles Lackey operates a bakery in Idaho Falls, Idaho. Because of its excellent product and excellent location, demand has increased by 5555% in the last year. On far too many occasions, customers have not been able to purchase the bread of their choice. Because of the size of the store, no new ovens can be added. At a staff meeting, one employee suggested ways to load the ovens differently so that more loaves of bread can be baked at one time. This new process will require that the ovens be loaded by hand, requiring additional manpower. This is the only production change that will be made in order to meet the increased demand. The bakery currently makes 1,800 loaves per month. Employees are paid $8 per hour. In addition to the labor cost, Charles also has a constant utility cost per month of $800 and a per loaf ingredient cost of $0.35 Current multifactor productivity for 640 work hours per month =0.27loaves/dollar (round your response to three decimal places).arrow_forwardThe owner of Old-Fashioned Berry Pies, S. Simon, is contemplating adding a new line ofpies, which will require leasing new equipment for a monthly payment of $6,000. Variablecosts would be $2 per pie, and pies would retail for $7 each.a. How many pies must be sold in order to break even?b. What would the profit (loss) be if 1,000 pies are made and sold in a month?c. How many pies must be sold to realize a profit of $4,000?d. If 2,000 can be sold, and a profit target is $5,000, what price should be charged per pie?arrow_forward
- A business company has the following capacity per month based on the following: 30 working days per month; 1 shift operation at 8 hours per shift; 30 minutes break per shift per employee ABC company produces bicycles and has the following Capacities per process. Frame Welding: 60 bikes per hour per machine Painting: 20 bikes per hour per worker Assembly: 50 bikes per hour per worker Inspection: 100 bikes per hour per worker What can be observed from the system if the demand for the month is 5,000 bikes?arrow_forwardA company has a factory that is designed so that it is most efi cient (average unit cost is minimized) when producing 15,000 units of output each month. However, it has an absolute maximum output capability of 17,250 units per month, and can produce as little as 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 10,925 units in October, what is the capacity utilization rate in October for this factory?arrow_forwardState the advantage and disadvantage of varying the workforce in accordance to the predicted changes in demand requirements.arrow_forward
- The owner of Old-Fashioned Berry Pies, S. Simon, is contemplating adding a new line of pies, which will require leasing new equipment for a monthly payment of $6,000. Variable costs would be $2 per pie, and pies would retail for $7 each. a. How many pies must be sold in order to break even? b. What would the profit (loss) be if 1,000 pies are made and sold in a month? How many pies must be sold to realize a profit of $4,000? С. d. If 2,000 can be sold, and a profit target is $5,000, what price should be charged per pie? 5-30arrow_forwardIf a plant has an effective capacity of 6,400 and an efficiency of 88%, then its actual (planned) output =_______units (enter your response as a whole number).arrow_forwardA biotech firm is considering abandoning its old plant, built 23 years ago, andconstructing a new facility that has 50% more square footage. The original cost of the old facility was $300,000, and its capacity in terms of standardizedproduction units is 250,000 units per year. The capacity of the new laboratoryis to be 400,000 units per year. During the past 23 years, costs of laboratoryconstruction have risen by an average of 5% per year. If the cost-capacity factor, based on square footage, is 0.80, what is the estimated cost of the newlaboratory?arrow_forward
- someone solve this question but do not use excel for this questionarrow_forwardCharles Lackey operates a bakery in Idaho Falls, Idaho. Because of its excellent product and excellent location, demand has increased by 25%in the last year. On far too many occasions, customers have not been able to purchase the bread of their choice. Because of the size of the store, no new ovens can be added. At a staff meeting, one employee suggested ways to load the ovens differently so that more loaves of bread can be baked at one time. This new process will require that the ovens be loaded by hand, requiring additional manpower. This is the only thing to be changed. The bakery currently makes 1,600 loaves per month. The pay will be $8per hour for employees and each employee works 160 hours per month. Charles Lackey can also improve the yield by purchasing a new blender. The new blender will mean an increase in his investment. This new blender will mean an increase in his costs of $150 per month, but he will achieve the same new output (an increase to 2,000.00)…arrow_forwardCharles Lackey operates a bakery in Idaho Falls, Idaho. Because of its excellent product and excellent location, demand has increased by 25%in the last year. On far too many occasions, customers have not been able to purchase the bread of their choice. Because of the size of the store, no new ovens can be added. At a staff meeting, one employee suggested ways to load the ovens differently so that more loaves of bread can be baked at one time. This new process will require that the ovens be loaded by hand, requiring additional manpower. This is the only thing to be changed. The bakery currently makes 1,600 loaves per month. The pay will be $8per hour for employees and each employee works 160 hours per month. Charles Lackey can also improve the yield by purchasing a new blender. The new blender will mean an increase in his investment. This new blender will mean an increase in his costs of $150 per month, but he will achieve the same new output (an increase to 2,000.00)…arrow_forward
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,