A chemical plant produces sodium bisulfate in 140 kg bags. Demand for this product is 35 tonnes per day. The capacity for producim this product is 50 tonnes per day. Setup cost is $500, and storage and handling costs are $240 per tonne per year. The company operates 210 days a year. (Note: 1 tonne 1,000 kg). a. What is the optimal number of bags per production run? (Round your intermediate calculations to 2 decimal places and the fine answer to the nearest whole number.) Optimal number of bags 2958 b. What would the average inventory level be for this lot size? (Round your intermediate calculations to 2 decimal places and the final answer to the nearest whole number.) Average inventory bags c. Determine the approximate length of a production run, in days. (Round the intermediate calculations and final answer to 2 decimal places.) Run length days d. About how many production runs per year would there be? (Round your intermediate calculations to 2 decimal places and th final answer to 1 decimal place.) Runs per year e. How much could the company save annually in inventory control cost if the setup cost could be reduced to $250 per productie and the optimal production quantity is recalculated and used? (Round the intermediate calculations and final answer to 2 decin places.) $4 Annual Savings

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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A chemical plant produces sodium bisulfate in 140 kg bags. Demand for this product is 35 tonnes per day. The capacity for producing
this product is 50 tonnes per day. Setup cost is $500, and storage and handling costs are $240 per tonne per year. The company
operates 210 days a year. (Note: 1 tonne = 1,000 kg).
a. What is the optimal number of bags per production run? (Round your intermediate calculations to 2 decimal places and the final
answer to the nearest whole number.)
Optimal number of bags
2958
b. What would the average inventory level be for this lot size? (Round your intermediate calculations to 2 decimal places and the
final answer to the nearest whole number.)
Average inventory
bags
c. Determine the approximate length of a production run, in days. (Round the intermediate calculations and final answer to 2
decimal places.)
Run length
days
d. About how many production runs per year would there be? (Round your intermediate calculations to 2 decimal places and the
final answer to 1 decimal place.)
e. How much could the company save annually in inventory control cost if the setup cost could be reduced to $250 per production rur
and the optimal production quantity is recalculated and used? (Round the intermediate calculations and final answer to 2 decimal
places.)
Runs per year
24
Annual Savings
Transcribed Image Text:A chemical plant produces sodium bisulfate in 140 kg bags. Demand for this product is 35 tonnes per day. The capacity for producing this product is 50 tonnes per day. Setup cost is $500, and storage and handling costs are $240 per tonne per year. The company operates 210 days a year. (Note: 1 tonne = 1,000 kg). a. What is the optimal number of bags per production run? (Round your intermediate calculations to 2 decimal places and the final answer to the nearest whole number.) Optimal number of bags 2958 b. What would the average inventory level be for this lot size? (Round your intermediate calculations to 2 decimal places and the final answer to the nearest whole number.) Average inventory bags c. Determine the approximate length of a production run, in days. (Round the intermediate calculations and final answer to 2 decimal places.) Run length days d. About how many production runs per year would there be? (Round your intermediate calculations to 2 decimal places and the final answer to 1 decimal place.) e. How much could the company save annually in inventory control cost if the setup cost could be reduced to $250 per production rur and the optimal production quantity is recalculated and used? (Round the intermediate calculations and final answer to 2 decimal places.) Runs per year 24 Annual Savings
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