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Flexible Budget, Multiple Regression The controller for Muir Company\'s Salem pl

ID: 2517652 • Letter: F

Question

Flexible Budget, Multiple Regression

The controller for Muir Company's Salem plant is analyzing overhead in order to determine appropriate drivers for use in flexible budgeting. She decided to concentrate on the past 12 months since that time period was one in which there was little important change in technology, product lines, and so on. Data on overhead costs, number of machine hours, number of setups, and number of purchase orders are in the following table.

Required:

1. Run a multiple regression equation using machine hours, number of setups, and number of purchase orders as independent variables. Prepare a flexible budget for overhead for the 12 months using the results of this regression equation. (Round the regression coefficients to the nearest cent and predicted overhead to the nearest dollar.)

If there is no variance, enter "0" for the amount and select "NA" in the last column. Enter all your answers as positive amounts.

2. Now, suppose that the controller remembers that the factory throws two big parties each year, one for the 4th of July and the other for Christmas. Rerun the multiple regression with machine hours, number of setups, and number of purchase orders, and add a dummy variable called “Party.” (This variable takes the value one for months with a factory-sponsored party, and zero otherwise.) Prepare a flexible budget for the 12 months using the results of this regression. (Round the regression coefficients to the nearest cent and each predicted overhead amount to the nearest dollar.)

If there is no variance, enter "0" for the amount and select "NA" in the last column. Enter all your answers as positive amounts.

Month Overhead Costs Machine Hours Number of
Setups
Number of
Purchase Orders
January $ 32,296 1,000 20    216 February 31,550 930 18    250 March 36,280 1,100 21    300 April 36,867 1,050 23    270 May 36,790 1,170 22    285 June 37,800 1,200 25    240 July 40,024 1,235 27    237 August 39,256 1,190 24    303 September 33,800 1,070 20    255 October 33,779 1,210 22    195 November 37,225 1,207 23    270 December 27,500 1,084 15    150 Totals $423,167 13,446 260    2,971

Explanation / Answer

Answer:1 Overhead rate=Total overhead cost/Total estimated machine hours

=$423167/13446

=$31.47 per hour

Month

Machine hours

Predicted overhead

Actual Overhead

Variance

Type F or U

Jan

1000

31470

32296

-826

U

Feb

930

29267.1

31550

-2282.9

U

Mar

1100

34617

36280

-1663

U

Apr

1050

33043.5

36867

-3823.5

U

May

1170

36819.9

36790

29.9

F

Jun

1200

37764

37800

-36

U

Jul

1235

38865.5

40024

-1158.6

U

Aug

1190

37449.3

39256

-1806.7

U

Sep

1070

33672.9

33800

-127.1

U

Oct

1210

38078.7

33779

4299.7

F

Nov

1207

37984.3

37225

759.29

F

Dec

1084

34113.5

27500

6613.48

F

Total

13446

423146

423167

-21.38

U

Answer2:

Overhead cost= $8699.64+ $23.71(machine hours)

Month

Machine hours

Predicted overhead

Actual Overhead

Variance

Type F or U

Jan

1000

32410

32296

114

F

Feb

930

30750

31550

800

U

Mar

1100

34781

36280

1499

U

Apr

1050

33595

36867

3272

U

May

1170

36440

36790

350

U

Jun

1200

37152

37800

648

U

Jul

1235

37981

40024

2043

U

Aug

1190

36915

39256

2341

U

Sep

1070

34069

33800

269

F

Oct

1210

37389

33779

3610

F

Nov

1207

37318

37225

93

F

Dec

1084

34401

27500

6901

F

Total

13446

423201

423167

34

F

Answer:1 Overhead rate=Total overhead cost/Total estimated machine hours

=$423167/13446

=$31.47 per hour

Month

Machine hours

Predicted overhead

Actual Overhead

Variance

Type F or U

Jan

1000

31470

32296

-826

U

Feb

930

29267.1

31550

-2282.9

U

Mar

1100

34617

36280

-1663

U

Apr

1050

33043.5

36867

-3823.5

U

May

1170

36819.9

36790

29.9

F

Jun

1200

37764

37800

-36

U

Jul

1235

38865.5

40024

-1158.6

U

Aug

1190

37449.3

39256

-1806.7

U

Sep

1070

33672.9

33800

-127.1

U

Oct

1210

38078.7

33779

4299.7

F

Nov

1207

37984.3

37225

759.29

F

Dec

1084

34113.5

27500

6613.48

F

Total

13446

423146

423167

-21.38

U

Answer2:

Overhead cost= $8699.64+ $23.71(machine hours)

Month

Machine hours

Predicted overhead

Actual Overhead

Variance

Type F or U

Jan

1000

32410

32296

114

F

Feb

930

30750

31550

800

U

Mar

1100

34781

36280

1499

U

Apr

1050

33595

36867

3272

U

May

1170

36440

36790

350

U

Jun

1200

37152

37800

648

U

Jul

1235

37981

40024

2043

U

Aug

1190

36915

39256

2341

U

Sep

1070

34069

33800

269

F

Oct

1210

37389

33779

3610

F

Nov

1207

37318

37225

93

F

Dec

1084

34401

27500

6901

F

Total

13446

423201

423167

34

F