The Wod Chemical Company produces a chemical compound that is used as a lawn fertilizer. The compound can be produced at a rate of 10,000 pounds per day. Annual demand for the compound is 0.6 million pounds per year. The fixed cost of setting up for a production run of the chemical is $1,500, and the variable cost of produc- tion is $3.50 per pound. The company uses an interest rate of 22 percent to account for the cost of capital, and the costs of storage and handling of the chemical amount to 12 percent of the value. Assume that there are 250 working days in a year. a. What is the optimal size of the production run for this particular compound? b. What proportion of each production cycle consists of uptime and what proportion consists of downtime? c. What is the average annual cost of holding and setup attributed to this item? If the compound sells for $3.90 per pound, what is the annual profit the company is realizing from this item?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Determine the batch size that would result in the given problem if you assumed that the production rate was infinite. What is the additional average annual cost that would be incurred using this batch size rather than the one you found in the given problem?

The Wod Chemical Company produces a chemical compound that is used as a lawn
fertilizer. The compound can be produced at a rate of 10,000 pounds per day. Annual
demand for the compound is 0.6 million pounds per year. The fixed cost of setting
up for a production run of the chemical is $1,500, and the variable cost of produc-
tion is $3.50 per pound. The company uses an interest rate of 22 percent to account
for the cost of capital, and the costs of storage and handling of the chemical amount
to 12 percent of the value. Assume that there are 250 working days in a year.
a. What is the optimal size of the production run for this particular compound?
b. What proportion of each production cycle consists of uptime and what proportion
consists of downtime?
c. What is the average annual cost of holding and setup attributed to this item? If
the compound sells for $3.90 per pound, what is the annual profit the company
is realizing from this item?
Transcribed Image Text:The Wod Chemical Company produces a chemical compound that is used as a lawn fertilizer. The compound can be produced at a rate of 10,000 pounds per day. Annual demand for the compound is 0.6 million pounds per year. The fixed cost of setting up for a production run of the chemical is $1,500, and the variable cost of produc- tion is $3.50 per pound. The company uses an interest rate of 22 percent to account for the cost of capital, and the costs of storage and handling of the chemical amount to 12 percent of the value. Assume that there are 250 working days in a year. a. What is the optimal size of the production run for this particular compound? b. What proportion of each production cycle consists of uptime and what proportion consists of downtime? c. What is the average annual cost of holding and setup attributed to this item? If the compound sells for $3.90 per pound, what is the annual profit the company is realizing from this item?
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