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A manufacturer has a forecasted annual demand of 1,000,000 units for a new product. They have to choose 1 of 4 new pieces of equipment to produce this product. Assume that revenue will be $10 per unit for all 4 options.
Which machine will maximize their profit if the manufacturer anticipates market demand will be steady for 3 years and there is no residual value for any of the equipment choices?
Machine Fixed Cost Variable Cost per Unit Annual Capacity
A S100.000 $6 00 800,000 units
B $200,000 $5 50 1.000,000 units
C $250,000 $5 00 1,200,000 units
D $1 000.000 $4 50 1 400.000 units
To maximize profit, the manufacturer should choose the machine that has the lowest total cost per unit of demand. The total cost per unit of demand is calculated by adding the fixed cost per unit of demand and the variable cost per unit. The fixed cost per unit of demand is obtained by dividing the fixed cost by the annual demand. The variable cost per unit is given in the table. The total cost per unit of demand for each machine is:
Machine A: 1,000,000100,000+6.00=6.10
Machine B: 1,000,000200,000+5.50=5.70
Machine C: 1,000,000250,000+5.00=5.25
Machine D: 1,000,0001,000,000+4.50=5.50
The lowest total cost per unit of demand is for Machine C, which is $5.25. Therefore, Machine C will maximize the profit for the manufacturer.
Some possible references for this question are:
CPIM Part 1 Exam Content Manual, Version 8.0, Domain 3: Plan and Manage Supply, Section A: Plan and Manage Supply Chain Capacity, Topic 2: Capacity Planning Concepts, Subtopic b: Capacity planning methods, Page 30
CPIM Part 1 Learning System, Version 8.0, Module 3: Plan and Manage Supply, Section 3.2: Capacity Planning Concepts, Topic 3.2.2: Capacity Planning Methods, Subtopic 3.2.2.2: Cost-Volume Analysis, Pages 3-24 to 3-26
CPIM Part 1 Study Guide, Version 8.0, Module 3: Plan and Manage Supply, Section 3.2: Capacity Planning Concepts, Topic 3.2.2: Capacity Planning Methods, Subtopic 3.2.2.2: Cost-Volume Analysis, Pages 3-24 to 3-26
Which of the following statements is an assumption on which the economic order quantity (EOQ) model is based?
The economic order quantity (EOQ) model is a formula that calculates the optimal order quantity that minimizes the total inventory costs, such as ordering costs and holding costs. The EOQ model is based on several assumptions, one of which is that the order preparation costs and inventory-carrying costs are constant and known. This means that the costs of placing and receiving an order, and the costs of storing and maintaining the inventory, do not change with the order quantity or the inventory level, and that they can be estimated accurately12.
The other options are not correct because:
* A. Customer demand is known but seasonal. This is not an assumption of the EOQ model, but rather a violation of it. The EOQ model assumes that the customer demand is constant and known, and that the orders are placed at regular intervals. However, if the customer demand is seasonal, it means that it varies over time and may not be predictable. This can affect the accuracy and applicability of the EOQ model, as the optimal order quantity may change with the demand pattern12.
* B. Items are purchased and/or produced continuously and not in batches. This is not an assumption of the EOQ model, but rather a contradiction of it. The EOQ model assumes that the items are purchased and/or produced in batches, and that the inventory level decreases gradually until it reaches zero, at which point a new order is placed and received. However, if the items are purchased and/or produced continuously, it means that there is no need to place orders or maintain inventory, and the EOQ model becomes irrelevant12.
* D. Holding costs, as a percentage of the unit cost, are variable. This is not an assumption of the EOQ model, but rather a complication of it. The EOQ model assumes that the holding costs, as a percentage of the unit cost, are constant and known. This means that the cost of storing and maintaining one unit of inventory does not depend on the unit cost of the item, and that it can be estimated accurately. However, if the holding costs, as a percentage of the unit cost, are variable, it means that the cost of storing and maintaining one unit of inventory changes with the unit cost of the item, and that it may not be easy to estimate. This can affect the accuracy and applicability of the EOQ model, as the optimal order quantity may depend on the unit cost of the item12.
Improvements in an Input/output control (I/O control) system will most likely lead to:
Improvements in an input/output control (I/O control) system will most likely lead to a reduction in queue size and queue time. An I/O control system is a method of managing the flow of work orders in a production system by matching the input rate to the output rate. The input rate is the number of work orders that are released to the shop floor in a given period. The output rate is the number of work orders that are completed and shipped to the customers in a given period. An I/O control system aims to keep the input rate equal to the output rate, or slightly lower, to avoid overloading the system and creating excess inventory. By improving the I/O control system, the production system can achieve a smoother and more balanced flow of work orders, which reduces the queue size and queue time at each work center. Queue size is the number of work orders that are waiting to be processed at a work center. Queue time is the amount of time that a work order spends in the queue before being processed. A reduction in queue size and queue time can improve the production efficiency, quality, and flexibility, as well as the customer service and satisfaction. The other options are not correct, as they are not the most likely outcomes of improvements in an I/O control system, but rather possible effects of other factors or methods:
Flattened bills of material (BOMs) are the result of simplifying the product structure and reducing the number of components or levels in a BOM. Flattened BOMs can reduce the complexity and lead time of the production process, but they are not directly related to the I/O control system.
A change in operation sequencing is the result of altering the order or priority of the work orders or operations in a production system. A change in operation sequencing can affect the production flow and capacity, but it is not necessarily caused by the I/O control system.
Fewer engineering change notifications are the result of minimizing the changes in the product design or specification during the production process. Fewer engineering change notifications can reduce the disruption and cost of the production process, but they are not directly related to the I/O control system.Reference:
[CPIM Part 2 - Section A - Topic 2 - Capacity Planning]
Input/Output Control | SpringerLink
Input/Output Control - an overview | ScienceDirect Topics
Input/Output Control - InventoryOps.com
Which of the following product design approaches are likely to reduce time to market for a global supply chain?
Concurrent engineering is a product design approach that involves the simultaneous and collaborative involvement of different functional areas, such as engineering, marketing, manufacturing, and suppliers, in the product development process. Concurrent engineering aims to reduce time to market, improve quality, lower costs, and enhance customer satisfaction by integrating and coordinating the inputs and feedback of all the stakeholders from the early stages of design. Concurrent engineering can also facilitate the standardization and modularization of product components, which can improve the flexibility and responsiveness of a global supply chain.Reference:
A company assembles kits of hand tools after receipt of the order from distributors and uses two-level master scheduling. The appropriate levels of detail for the forecasts that are input to master scheduling would be total number of kits and:
