2. EOQ / Production / Discounts A machine company uses 3000 brackets during the course of a year. The brackets are bought from an external supplier at a price of 50 kr. each and will be received the same day as the order is placed. The average ordering cost is 187.50 kr. per order. The company uses an interest rate of 18% to account for the cost of capital, the cost of storage and handling is estimated to 4% and insurance to 3% of the value. You can assume that there are 250 working days in one year. a. Determine the economic order quantity for the brackets. b. Given the optimal order size from a, calculate the following: i. Cycle time. ii. Average inventory level. ii. Annual inventory cost. iv. Annual ordering cost. The company is able to produce the brackets themselves at a rate of 60 per day. The fixed cost of setting up for production run is 600 kr. You can also assume that the variable cost of production is equal to the price when buying from an external supplier. c. What is the optimal size of the production run for the brackets?

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Chapter20: Inventory Management: Economic Order Quantity, Jit, And The Theory Of Constraints
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2. EOQ / Production / Discounts
A machine company uses 3000 brackets during the course of a year. The brackets
are bought from an external supplier at a price of 50 kr. each and will be received
the same day as the order is placed. The average ordering cost is 187.50 kr. per
order. The company uses an interest rate of 18% to account for the cost of capital,
the cost of storage and handling is estimated to 4% and insurance to 3% of the
value. You can assume that there are 250 working days in one year.
a. Determine the economic order quantity for the brackets.
b. Given the optimal order size from a, calculate the following:
i
Cycle time.
i.
Average inventory level.
i.
Annual inventory cost.
iv. Annual ordering cost.
The company is able to produce the brackets themselves at a rate of 60 per day.
The fixed cost of setting up for production run is 600 kr. You can also assume that
the variable cost of production is equal to the price when buying from an external
supplier.
c. What is the optimal size of the production run for the brackets?
d. What proportion of each production cycle consists of uptime and what proportion
consists of downtime?
e. What are the average annual setup and holding costs when producing this item?
Would you recommend the company to produce the brackets themselves?
The external supplier wants to deliver in larger batches and offers an all-units
discount when buying a larger quantity. If the order size is 400 items or more, the
price is reduced to 45 kr. per items and if the order size is 500 items or more, the
price is reduced to 40 kr. per item.
What is the optimal size of orders under the new conditions, and what is the
corresponding costs?
g. What would be the optimal order size if the discount was only given for the units
in excess of the limits (Incremental Quantity Discount) , and what is the
corresponding costs?
f.
Transcribed Image Text:2. EOQ / Production / Discounts A machine company uses 3000 brackets during the course of a year. The brackets are bought from an external supplier at a price of 50 kr. each and will be received the same day as the order is placed. The average ordering cost is 187.50 kr. per order. The company uses an interest rate of 18% to account for the cost of capital, the cost of storage and handling is estimated to 4% and insurance to 3% of the value. You can assume that there are 250 working days in one year. a. Determine the economic order quantity for the brackets. b. Given the optimal order size from a, calculate the following: i Cycle time. i. Average inventory level. i. Annual inventory cost. iv. Annual ordering cost. The company is able to produce the brackets themselves at a rate of 60 per day. The fixed cost of setting up for production run is 600 kr. You can also assume that the variable cost of production is equal to the price when buying from an external supplier. c. What is the optimal size of the production run for the brackets? d. What proportion of each production cycle consists of uptime and what proportion consists of downtime? e. What are the average annual setup and holding costs when producing this item? Would you recommend the company to produce the brackets themselves? The external supplier wants to deliver in larger batches and offers an all-units discount when buying a larger quantity. If the order size is 400 items or more, the price is reduced to 45 kr. per items and if the order size is 500 items or more, the price is reduced to 40 kr. per item. What is the optimal size of orders under the new conditions, and what is the corresponding costs? g. What would be the optimal order size if the discount was only given for the units in excess of the limits (Incremental Quantity Discount) , and what is the corresponding costs? f.
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