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Nina [5.8K]
3 years ago
11

The Donaldson Furniture Company produces three types of rocking​ chairs: the​ children's model, the standard​ model, and the exe

cutive model. Each chair is made in three​ stages: cutting,​ construction, and finishing. Stage ​Children's Standard Executive Cutting 5 hr 4 hr 7 hr Construction 3 hr 2 hr 5 hr Finishing 2 hr 2 hr 4 hr The time needed for each stage of each chair is given in the chart. During a specific week the company has available a maximum of 162 hours for​ cutting, 104 hours for​ construction, and 84 hours for finishing. Determine how many of each type of chair the company should make to be operating at full capacity.
Business
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

Children's model = 7

Standard model = 9

Executive model = 13

Explanation:

Let a = number of children's model

b= number of standard model

c = number of executive model

According to the question given, the time allocation is as follows;

Cutting; a = 5 hr     b = 4hr     c = 7hr, Maximum hours = 162 hours

Construction; a = 3 hr     b = 2hr     c = 5hr, Maximum hours = 104 hours

Finishing; a = 2 hr     b = 2hr     c = 4hr, Maximum hours = 84 hours

We can therefore derive the equations.

5a + 4b + 7c = 162     (i)

3a + 2b + 5c = 104     (ii)

2a + 2b + 4c = 84     (iii)

Subtracting (iii) from (ii), a + c = 20, a = 20 - c     (iv)

Substituting (iv) into (ii)

60 - 3c + 2b + 5c = 104

2b + 2c = 44     (v)

Substituting (iv) into (i)

100 - 5c + 4b + 7c = 162

4b + 2c = 62     (vi)

Subtracting (v) from (vi), we have

2b = 18; b = 9

Since b + c = 22,

c =22 - 9 = 13

Also, a + c =20

a = 20 - 13 = 7

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Answer:

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Nov. 11 Debit Cost of Goods Sold $2,100

Credit Inventory $2,100

To record the cost of goods sold for 105 razors at $20 each.

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Credit Sales Revenue $16,500

To record the sale of 220 razors for cash.

Debit Cost of Goods Sold $4,400

Credit Inventory $4,400

To record the cost of goods sold.

Jan. 5: Debit Cash $11,250

Credit Sales Revenue $11,250

To record the sale of 150 razors for cash.

Debit Cost of Goods Sold $3,000

Credit Inventory $3,000

To record the cost of goods sold.

Adjusting Journal Entries:

Nov. 30: Debit Warranty Expense $630

Credit Warranty Liability $630

To record the warranty expense for November sales.

Dec. 9: Debit Warranty Liability $300

Credit Inventory $300

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Dec. 16: Debit Warranty Expense $1,672

Credit Warranty Liability $1,672

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Dec. 31: Debit Income Summary $2,302

Credit Warranty Expense $2,302

To recognize the warranty expense for the period.

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Jan. 31: Debit Warranty Expense $100

Credit Warranty Liability $100

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2. The Warranty Expense for November is $630 and for December is $1,602.

3. The Warranty Expense for January is: $1,000

4. The balance of the Estimated Warranty Liability account as of December 31 is:

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5. The balance of the Estimated Warranty Liability account as of January 31 is:

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Explanation:

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b) Estimated Warranty Liability Account:

Nov. 30: Credit Warranty Liability  $630

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Dec. 16: Credit Warranty Liability $1,672

Dec. 29: Debit Warranty Liability  ($600)

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Dec. 31: Debit Income Summary $2,302

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