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Differential Analysis for Further Processing
The management of Dominican Sugar Company is considering whether to process further raw sugar into re-fined sugar. Re-fined sugar can be sold for $2.20 per pound, and raw sugar can be sold without further processing for $1.40 per pound. Raw sugar is produced in batches of 42,000 pounds by processing 100,000 pounds of sugar cane, which costs $0.35 per pound of cane. Re-fined sugar will require additional processing costs of $0.50 per pound of raw sugar, and 1.25 pounds of raw sugar will produce 1 pound of re-fined sugar.
1. Prepare a differential analysis as of March 24 to determine whether to sell raw sugar (Alternative 1) or process further into refined sugar (Alternative 2)
2. Briefly report your recommendations.

Respuesta :

anthougo

Answer:

Dominican Sugar Company

1. Differential Analysis as of March 24:

                                          Raw Sugar       Refined Sugar

                                        Alternative 1       Alternative 2       Difference

Sales volume                        42,000            33,600

Selling price per pound          $1.40              $2.20

Sales revenue                   $58,800          $73,920                 $15,120

Materials requirement      100,000            42,000

Output from process         42,000            33,600

Unit cost                               $0.35              

Cost of materials            $35,000          $35,000

Cost of further refining                           $21,000

Total costs                      $35,000          $56,000                ($21,000)

Net income                     $23,800           $17,920                  ($5,880)

2. Based on cost implications, Dominican Sugar should not refine the raw sugar further.  Further refining will cause the company $5,880 in lost income.  This means that it costs more to refine the raw sugar.

Explanation:

a) Data and Calculations:

                                          Raw Sugar       Refined Sugar

                                        Alternative 1       Alternative 2

Sales volume                        42,000            33,600 (42,000/1.25)

Selling price per pound          $1.40              $2.20

Sales revenue                   $58,800          $73,920

Materials requirement      100,000            42,000

Output from process         42,000            33,600 (42,000/1.25)

Unit cost                               $0.35              

Cost of materials            $35,000          $35,000

Cost of further refining                           $21,000 (42,000 * $0.50)

Total costs                      $35,000          $56,000

Net income                     $23,800           $17,920

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