Problem

Bayfield Chemical Company manufactures chemicals 1, 2, 3, and 4 using five ingredients: ch...

Bayfield Chemical Company manufactures chemicals 1, 2, 3, and 4 using five ingredients: chemicals A, B, C, D, and E. The planned amount of input used to make 100 liters of each of the four products, the standard cost of the input chemicals, the amount of each of the input chemicals that is available for purchase, and the expected price received for each 100 liters of each product are shown in the following table.

PLANNED INGREDIENT USE

CHEMICAL

A

B

C

D

E

PRICE

COST

MARGIN

1

23

45

0

32

0

$8,500

$5,567

$2,933

2

12

29

33

18

14

$9,300

$7,047

$2,253

3

12

19

34

14

43

$9,000

$7,169

$1,831

4

23

57

10

0

10

$7,200

$4,779

$2,421

Cost

$67

$34

$107

$78

$23

 

 

 

Available

120.000

240.000

320.000

190,000

280,000

 

 

 

Chemicals 1, 2, 3, and 4 are made in batches of either 2,000 or 5,000 liters. There are costs of setting up the blending tanks before a batch and cleaning them after a batch. These costs, along with the planned number of batches, are shown in the following table.

PLANNED BATCHES MADE

CHEMICAL

2,000

5,000

COST

1

12

0

$ 14,400

2

240

0

$288,000

3

237

0

$284,400

4

0

0

$ 0

Cost

$1,200

$1,900

 

This planned production results in the following pattern of planned input chemical use.

PLANNED TOTAL CHEMICAL USE

CHEMICAL

A

B

C

D

E

1

5,520

10,800

0

7,680

0

2

57,600

139,200

158,400

86,400

67,200

3

56,880

90,060

161,160

66,360

203,820

4

0

0

0

0

0

Used

120,000

240,060

319,560

160,440

271,020

With the exception of short-term variable inventory carrying costs, all the costs relating to the chemical-making operation are committed capacity-related costs that Bayfield Company feels are not avoidable in the short run. Therefore, they are ignored for short-run planning purposes. The inventory carrying costs are related to cost of carrying inventory including storage costs, the opportunity cost of capital tied up in inventory, obsolescence cost, loss, and waste. Input chemicals are purchased and arrive as needed, therefore they inflict no carrying cost in Bayfield Chemical. The inventory-related costs for chemicals 1, 2, 3, and 4 are estimated using the following steps.

For each of the four products, compute the weighted average number of units per batch by multiplying the number of units in each batch by the number of times that batch size is made, summing all the results, and dividing by the number of batches.

Since the sales of all four chemicals occur fairly uniformly during the planning period, for each of the four products, estimate the average inventory held by dividing the weighted average number of units per batch by two.

 For each of the four products, compute the inventory carrying cost by multiplying the average inventory held by $400, $800, $300, $500 for each of chemical 1, 2, 3, and 4, respectively.

Therefore the inventory carrying costs for the planned pattern of production are estimated as follows.

PLANNED CARRYING COST

CHEMICAL

AVERAGE

COST

1

1,000

$400,000

2

1,000

$800,000

3

1,000

$300,000

4

        0

$0

This planned production results in the following planned revenues, cost, and margin from this operation.

PLANNED TOTAL MARGINS

CHEMICAL

MARGIN

BATCH

CARRYING

NET

1

$703,920

$14,400

$400,000

$  289,520

2

10,814,400

288,000

800,000

9,726,400

3

8,678,940

284,400

300,000

8,094,540

4

0

0

0

0

Total

 

 

 

$18,110,460

The following table shows the actual production during the period.

ACTUAL BATCHES MADE

CHEMICAL

2000

5000

COST

1

52

18

$100,000

2

36

15

73,800

3

42

53

150,000

4

22

9

44,800

Cost

$1,300

$1,800

 

The following table shows the actual amount of input chemicals used, the price received for each product, and the cost of the input chemicals.

ACTUAL INGREDIENT USE

 

CHEMICAL

A

B

C

D

E

PRICE

COST

MARGIN

1

22

48

0

30

0

$8,200

$5,402

$2,798

2

11

31

30

21

12

9,600

6,793

2,807

3

11

18

32

12

46

9,100

6,607

2,493

4

23

54

9

0

11

7,300

4 ,429

2,871

Cost

$71

$30

$105

$80

$21

 

 

 

Available

130,000

250,000

300,000

180,000

300,000

 

 

 

The following table shows the actual total input chemical use.

ACTUAL TOTAL CHEMICAL USE

CHEMICAL

A

B

C

D

E

1

42,680

93,120

0

58,200

0

2

16,170

45,570

44,100

30,870

17,640

3

38,390

62,820

111,680

41,880

160,540

4

20,470

48,060

8,010

0

9,790

Used

117,710

249,570

163,790

130,950

187,970

The following table shows the actual carrying costs.

ACTUAL CARRYING COST

CHEMICAL

AVERAGE

COST

1

1,386

$582,000

2

1,441

1,124,118

3

1,837

587,789

4

1,435

645,968

The following table shows the actual total margin generated by the operations in this period.

CHEMICAL

MARGIN

BATCH

CARRYING

NET

1

$5,428,120

$100,000

$582,000

$4,746,120

2

$4,126,290

73,800

1,124,118

$2,928,372

3

$8,700,570

150,000

587,789

$7,962,781

4

2,555,190

44,800

645,968

$1,864,422

Total

 

 

 

$17,501,695

Prepare a variance analysis of the operations in this period.

Step-by-Step Solution

Request Professional Solution

Request Solution!

We need at least 10 more requests to produce the solution.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the solution will be notified once they are available.
Add your Solution
Textbook Solutions and Answers Search
Solutions For Problems in Chapter 9