# Accounting: Linear regression and Activity Based Costing.

See attached file for better format.

Favata Company has the following information:

Month Budgeted Sales

June $60,000

July 51,000

August 40,000

September 70,000

October 72,000

In addition, the cost of goods sold rate is 70% and the desired inventory level is 30% of next month's cost of sales.

Prepare a purchases budget for July through September.

Trustme Vehicle Rental Corporation has two departments, Car Rental and Truck Rental. Central costs may be allocated to the two departments in various ways.

Car Rental Truck Rental

Number of Vehicles in fleet 700 300

Number of employees 150 50

Sales $1,500,000 $750,000

1. If administrative expense of $125,000 is allocated on the basis of number of employees, the amount allocated to the Truck Rental Department would be:

2. If administrative expense of $125,000 is allocated on the basis of number of employees, the amount allocated to the Car Rental Department would be:

3. If advertising expense of $150,000 is allocated on the basis of sales, the amount allocated to the Car Rental Department would be:

4. If advertising expense of $225,000 is allocated on the basis of sales, the amount allocated to the Truck Rental Department would be:

5. If the facility lease expense of $350,000 is allocated on the basis of vehicles in the fleet, the amount allocated to the Truck Rental Department would be:

Konrade's Engine Company manufactures part TE456 used in several of its engine models. Monthly production costs for 1,000 units are as follows:

Direct materials $40,000

Direct labor 10,000

Variable overhead costs 30,000

Fixed overhead costs 20,000

Total costs $100,000

It is estimated that 10% of the fixed overhead costs assigned to TE456 will no longer be incurred if the company purchases TE456 from the outside supplier. Konrade's Engine Company has the option of purchasing the part from an outside supplier at $85 per unit.

If Konrade's Engine Company accepts the offer from the outside supplier, the monthly avoidable costs (costs that will no longer be incurred) total

$ 82,000

$ 98,000

$ 50,000

$100,000

The cost components of an air conditioner include $35 for the compressor, $11.50 for the sheet molded compound frame, and $80 per unit for assembly. The factory machines and tools cost is $55,000. The company expects to produce 1,500 air conditioners in the coming year. What cost function best represents these costs?

y = 1500 + 126.5X

y = 1,500 +55,000X

y = 55,000 +126.50X

y = 55,000 + 1,500X

Merriamn Company provides the following ABC costing information:

Activities Total Costs Activity-cost drivers

Account inquiry hours $400,000 10,000 hours

Account billing lines $280,000 4,000,000 lines

Account verification accounts $150,000 40,000 accounts

Correspondence letters $ 50,000 4,000 letters

Total costs $880,000

The above activities are used by Department A and B as follows:

Department A Department B

Account inquiry hours 2,000 hours 4,000 hours

Account billing lines 400,000 lines 200,000 lines

Account verification accounts 10,000 accounts 8,000 accounts

Correspondence letters 1,000 letters 1,600 letters

How much of the account billing cost will be assigned to Department B?

$80,000

$14,000

$28,000

$280,000

https://brainmass.com/statistics/linear-regression/403690

#### Solution Summary

The problem deals with setting up linear regression equations and values and also determining the apportionment, of costs, according to multiple basis.

Industries Inc. manufactures 2 products: A and B. Activity Based Costing. Factors impacting declining profits. Scatterplot graph of regression line. Coefficient of Determination.

See Excel attached

Part 1

Industries Inc. manufactures 2 products: A and B. A review of the company's accounting records revealed the following per-unit costs and production volume:

Product A Product B

Production volume(units) 2000 4000

Direct labor hours used 2 3

Direct material cost per unit $40 $60

Direct Labor cost: $12 per hour

2 hours at $12 $24

3 hours at $12 $36

Manufacturing overhead

2 hours at $100 $200

3 hours at $100 $300

Manufacturing overhead is budgeted at : $1,600,000

Required:

a. Using direct labor hours as the base for assigning manufacturing overhead cost to products, compute the direct labor needed and the predetermined overhead rate using direct labor hours.

Hint: the predetermined overhead rate you compute should be $100, since I have given you the answer but I want to make sure you know how to determine the $100.

Direct labor hours, budget hours

Product A

Product B

Total direct labor hours

"Predetermined Overhead

rate" per direct labor hour

b. Using the predetermined overhead rate you determined in "a" above, determine the unit product cost of each product.

Hint: Don't forget that unit product cost includes direct material, direct labor, and Manufacturing overhead. Don't make this complicated, since the numbers are already there for you.

Product A Product B

Direct material cost per unit

Direct labor cost per unit

Manufacturing overhead per unit

Total product cost per unit

c. You are a recent hire to Industries Inc. and you have made it known that you just recently completed an MBA program that had a management accounting

course that taught you about another costing system that might be appropriate. During a meeting, you suggested that an ABC system might be a more

accurate costing system. Management has asked you to recompute the unit cost using the ABC costing approach, since the company is showing declining profits.

First complete the following chart that is set up like exhibit 5-7 on page 177, and there is a more detailed explanation of the 3 step calculation approach example

on page 176 exhibit 5-6. I have highlighted the columns in red you need to complete and I have started the table to guide you.

Activity Activity Cost pool Cost driver Cost Driver Quantity Pool rate Product line "Cost driver

quantity for product line" "Activity cost

for product line" "Product

line

production

volume" "Activity cost per unit

of product"

Setups $180,000 Number of setups 120 $1,500 Product A 100 $150,000 2,000 $75.00

Product B 20 4,000

Total 120

General Factory 1,300,000 Direct labor hours 20,000 Product A 5000 2,000

Product B 15000 4,000

Total 20000

Machine processing 120,000 Machine hours 3,000 Product A 2200 2,000

Product B 800 4,000

Grand Total $1,600,000

d. Complete the following table to determine the unit product costs from ABC, just like the exhibit 5-8 on page 178

Product A Product B

Direct material cost per unit

Direct labor cost per unit

Total direct costs per unit

Manufacturing overhead(based on ABC)

Setups

General Factory

Machine processing

Total product cost per unit

e. Write a short report (at least 75 words) that identifies factors that may account for the company's declining profits.

---------

Part 2

Food services company is looking at the costs involved with their catering services.

In the past the company has used meals produced as the cost driver for Overhead costs, but you have been recently

hired as a consultant and have decided to use your new MBA skills to make a recommendation to management on what should be the cost driver(s) for

overhead costs. You have decided to include number of deliveries in your analysis, too.

Month Deliveries "Meals

produced" "Total

Overhead

Cost"

1 1,340 12,690 $69,094

2 1,180 11,980 64,927

3 1,050 10,950 60,332

4 930 10,280 57,953

5 840 9,020 55,984

6 780 8,130 53,119

7 700 7,540 52,706

8 630 6,980 53,874

9 680 8,930 53,445

10 760 9,800 54,869

Required:

1. Prepare 2 scattergraphs and 2 simple regression analyses***** to estimate the Overhead costs using each of the cost drivers above. Make sure you show the equation of the line and R-squared on each of your scattergraphs.

I have gone ahead and developed the simple regression table and the scattergraph using Meals produced as the cost driver (I.e. independent variable)

You do not need to redo these, but you may want to use these as a verification that you know how to develop a scattergraph and a simple regression table.

The output and chart for your simple regression should be on separate sheets that should be named appropriately.

Type the equation of the line under the regression output on each of the simple regression worksheets.

To make a scattergraph with data from nonadjacent columns highlight the X data (i.e. independent variable-cost driver) first and then hold down the

control (ctrl) key and highlight the Y data (i.e. the dependent variable-cost).

If you have done your scattergraphs correctly the equation of the line and the R-squared should match the output you have on your regression table.

(i.e. R-squared, Intercept, and X Variable.) Hint: the Y(dependent) variable is the same in all your scattergraphs and regression analyses.

2. Prepare a multiple regression table the 2 independent variables-Deliveries and meals produced. Do not try to prepare a scattergraph, since you can make a chart with multiple X's.

Using the output from the multiple regression, give the equation to estimate overhead costs in terms of these 2 cost drivers. Excel reads left to right, so X1 will be Deliveries and X2 will be meals produced.

Type out the equation of the line on your multiple regression worksheet.

3. Assuming the following level of cost-driver volume, what is the estimated overhead

cost using simple regression for each of the cost drivers and using multiple regression to estimate the cost of overhead. You should have

3 computations for this answer (you need to determine 2 since I have calculated the first one for you).

Your calculation should only use cell references, since you should be estimated the cost by referencing the cost drivers below and the output from the regression tables.

Cost Drivers (independent variables):

Meals produced 11,600

Deliveries 1,060

Solution:

Meals Produced

Answer:

$63,024.56

You need to answer:

Deliveries

Answer:

Multiple regression

4. Using the simple and multiple regression analyses above, what would you recommend

to estimate the Overhead Costs? Why? Make sure you discuss the Coefficient of Determination in your response.