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Kelp Company produces three joint products from seaweed. At the split-off point,

ID: 2579634 • Letter: K

Question

Kelp Company produces three joint products from seaweed. At the split-off point, three basic products emerge: Sea Tea, Sea Paste, and Sea Powder. Each of these products can either be sold at the split-off point or be processed further. If they are processed further, the resulting products can be sold as delicacies to health food stores. Cost and revenue information is as follows.

Required:

a-1. Compute the incremental benefit (cost) of further processing to these products.

a-2. Which products should Kelp process beyond the split-off point?

b. At what price per pound would it be advantageous for Kelp Company to sell Sea Paste at the split-off point rather than process it further?

Sales Value and Additional
Costs If Processed Further Product Pounds
Produced Sales Value at Split-Off Final Sales
Value Additional
Cost Sea Tea 9,000 $ 60,000 $ 90,000 $ 35,000 Sea Paste 4,300 84,900 160,000 50,000 Sea Powder 2,000 70,000 85,000 14,000

Explanation / Answer

Answer:

a-1. Compute the incremental benefit (cost) of further processing to these products.

Sea Tea

Sea Paste

Sea Powder

  Sales value if sold at the split-off point (A)

60000

84900

70,000

  Sales value if processed further

90000

160,000

85,000

  Incremental cost of further processing

35000

50,000

14,000

  Incremental proceeds if processed further (b)

55000

110,000

71,000

  Incremental benefit (cost) of further processing (A-B)

(5,000

25100

1,000

______________________________________________________

a-2. Which products should Kelp process beyond the split-off point?

Answer: Sea powder and sea paste

_____________________________________________________

b. At what price per pound would it be advantageous for Kelp Company to sell Sea Paste at the split-off point rather than process it further?

Answer: $25.58

  Incremental proceeds if processed further
($160,000 – $50,000)

110,000

  Sales value at split-off point

84900

  Additional benefit needed to sell at split-off point

25100

  Divided by: Number of pounds

÷ 4,300

  Incremental benefit per pound needed to sell at split-off point

5.84

  Add: Current price per pound at split-off point
($84,900 ÷ 4,300 pounds)

19.74

  Minimum price per pound needed to sell at split-off point

25.58

Sea Tea

Sea Paste

Sea Powder

  Sales value if sold at the split-off point (A)

60000

84900

70,000

  Sales value if processed further

90000

160,000

85,000

  Incremental cost of further processing

35000

50,000

14,000

  Incremental proceeds if processed further (b)

55000

110,000

71,000

  Incremental benefit (cost) of further processing (A-B)

(5,000

25100

1,000