Bozeman Coffee Company produces Columbian coffee in batches of 10,000 pounds. The standard quantity of materials required in the process is 10,000 pounds, which cost $3.50 per pound. Columbian coffee can be sold without further processing for $8.00 per pound. Columbian coffee can also be processed further to yield Decaf Columbian, which can be sold for $9.50 per pound. The processing into Decaf Columbian requires additional processing costs of $7,500 per batch. The additional processing will also cause a 3% loss of product due to evaporation.
a. Prepare a differential analysis report for the decision to sell or process further.
Bozeman Coffee Company | ||
Proposal to Process Columbian Coffee Further | ||
Differential Analysis Report | ||
Differential revenue from further processing per batch: | ||
Revenue from sale of Decaf Columbian | $ | |
Revenue from sale of Columbian coffee | ||
Differential revenue | $ | |
Differential cost per batch: | ||
Additional cost of producing Decaf Columbian | ||
Differential income from further processing Decaf Columbian per batch | $ |
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a. Follow Exhibit 10 in the text. For both products, subtract the costs from the revenues. Determine the differential effect on the revenues, costs, and income (loss).
b. Should Bozeman Coffee sell Columbian coffee
or process further and sell Decaf Columbian?
Process further and sell Decaf Columbian
c. Determine the price of Decaf Columbian that
would cause neither an advantage nor a disadvantage for processing
further and selling Decaf Columbian. Round your answer to the
nearest cent.
$ per pound
Differential analysis: | |||||||
Differential revenue | |||||||
Revenue from sale of Decaf Columbian | (10000*9.50)*97% | 92150 | |||||
Revenue from sale of Columbian Coffee | 80000 | ||||||
Differential revenue | 12150 | ||||||
Differential cost per batch | |||||||
Additional processing cost per batch | 7500 | ||||||
Differential income from further processing | 4650 | ||||||
Decision: Process Further | |||||||
Req c: | |||||||
Output of Decaf columbain | |||||||
Total Output | 10000 | pounds | |||||
Less: Loss in Evaporation @3% | 300 | pounds | |||||
Net weight available for sale | 9700 | pounds | |||||
Additional cost of processing | 7500 | ||||||
Per pound cost of processing | 0.773196 | ||||||
Price of Columbian coffee | 8 | ||||||
Price of Decaf Columbian | 8.77 | ||||||
The price of Decaf Columbian shall be $ 8.77 to be indifferent. |
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