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Savatey [412]
3 years ago
7

Poskey Corporation uses an activity-based costing system with three activity cost pools. The company has provided the following

data concerning its costs and its activity based costing system: Costs: Wages and salaries $ 349,000 Depreciation 290,000 Utilities 199,000 Total $ 838,000 Distribution of resource consumption: Activity Cost Pools Assembly Setting Up Other Total Wages and salaries 65% 20% 15% 100% Depreciation 35% 20% 45% 100% Utilities 15% 75% 10% 100% How much cost, in total, would be allocated in the first-stage allocation to the Assembly activity cost pool?
Business
1 answer:
MrRa [10]3 years ago
6 0

Answer:

\left[\begin{array}{cccccc}&Cost&Assembly&Setting Up&Other&Total\\wages&349,000&226,850&69,800&52,350&349,000\\Depreciation&290,000&101,500&58,000&130,500&290,000&Utilities&199,000&29,850&149,250&19,900&199,000&Total&838,000&358,200&277,050&202,750&838,000&\end{array}\right]

Explanation:

We mulitply each line by the stated percent of each activity

<u>for example</u>

Setting Up % x Utilities= Utilities cost assigned to setting up

199,000x 75% = 149,250

Assembly % Depreciation= Depreciation cost assigned to assembly

35% x 290,000 = 101,500

This process must be done to assign each portion of cost.

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Given the Production Function Q = 72X + 15X2 - X3, where Q =Output and X=Input
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Answer:

A. 120

B. 126

C. x=12

D. x=5

Explanation:

A. Calculation to determine the Marginal Product (MP) when X = 8

Production function=Q=72x+15x^2-x^3

Let x be 8

Marginal Product (MP)=dQ/dx

Marginal Product (MP)=72x+15x^2-x^3

Marginal Product (MP)=72+30x-3x^2

Now let plug in X = 8

Marginal Product (MP)=72+30(8)-3(8)^2

Marginal Product (MP)=72+240-192

Marginal Product (MP)=120

Therefore the Marginal Product (MP) when X = 8 will be 120

B. Calculation to determine the Average Product (AP) when X = 6

Average Product (AP)=Q/X

Average Product (AP)=72+15x-x^2

Let plug in x=6

Average Product (AP)=72+15(6)-(6)^2

Average Product (AP)=72+90-36

Average Product (AP)=126

Therefore the Average Product (AP) when X = 6 is 126

C. Calculation to determine at what value of X will Q be at its maximum

Maximizing Q=dQ/dx=0

Maximizing Q=72+30x-3x^2=0

Maximizing Q=3x^2-30x-72=0

Maximizing Q=x^2-10x-24=0

Maximizing Q=x^2-12x+2x-24=0

Maximizing Q=x(x-12)+2(x-12)=0

Hence:

x=12 or (x=-2)

Therefore at what value of X will Q be at its maximum will be at x=12

D. Calculation to determine At what value of X will Diminishing Returns set in

Diminishing returns=dMP/dx=d²Q/dx²

Diminishing returns=30-6x<0

Hence:

x=30/6<0

x=5<0

Therefore at what value of X will Diminishing Returns set in will be at x= 5 or when MP is at a MAXIMUM VALUE.

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if an internal audit reveals issues, it is time to do some interviews and document reviews. how many people should be involved i
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An employer is an individual, firm, or organization that employs people and pays them wages for their work. A person who works and gets paid is called an employee. Employers provide employment.

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6 0
1 year ago
Road Gripper Tire Co. manufactures automobile tires. Standard costs and actual costs for direct materials, direct labor, and fac
Nezavi [6.7K]

Answer:

Answer is explained in the explanation section below.

Explanation:

Solution:

a.

In part a, we need to find the following 3 requirements:

1. Direct Materials Price Variance

2. Direct Materials Quantity Variance

3. Total Direct Materials Cost Variance

Direct Materials Price Variance:

It can be calculated by using the following formula:

DMPV = AQ multiplied by (AP minus the SP)

Where,  

DMPV = Direct Materials Price Variance

AQ = Actual Quantity

AP = Actual Price

SP = Standard Price

We do have all the data, so just plug in the values into the above equation to get the DMPV.

AQ = 101,000

AP  = 6.50 USD

SP = 6.40 USD

So,

DMPV = 101,000 ( 6.50 - 6.40)

DMPV = 10,100 USD

Direct Materials Quantity Variance:

DMQV = SP ( AQ - SQ )

Where,

DMQV = Direct Materials Quantity Variance = ?

SP  = Standard Price  = 6.40 USD

AQ = Actual Quantity  = 101,000

SQ = Standard Quantity  = 100,000

Plugging in the values:

DMQV  = 6.40  ( 101,000 - 100,000)

DMQV = 6400 USD

Total Direct Materials Cost Variance:

DMCV = SMC - AMC

Where,

DMCV =  Direct Materials Cost Variance = ?

SMC = Standard Market Cost = 6.40 USD x 100,000

AMC = Actual market Cost = 6.50 USD x 101,000

DMCV = (6.40 USD x 100,000) - (6.50 USD x 101,000)

DMCV = 640,000 - 656,500

DMCV =  16,500 USD

b.

For part b, we need following particulars:

1. Direct Labor Rate Variance (DLRV)

2. Direct Labor Time Variance (DLTV)

3. Direct Labor Cost Variance  (DLCV)

Direct Labor Rate Variance (DLRV) :

DLRV = (ADLR - SDLR) x ADLH

Where,

ADLR  = Actual Direct Labor Rate = 15.40 USD

SDLR = Standard Direct Labor Rate = 15.75 USD

ADLH = Actual Direct Labor Hour = 2000

So,

DLRV = (ADLR - SDLR) x ADLH

DLRV =  (15.40 USD  - 15.75 USD  ) x 2000

DLRV = 700 USD

Direct Labor Time Variance (DLTV):

DLTV = ( ADLH - SDLH ) x SDLR

SDLH = Standard Direct Labor Hour = 2080

DLTV = ( 2000  - 2080 ) x 15.75 USD  

DLTV = 1260 USD

Direct Labor Cost Variance  (DLCV)

DLCV = SDLC - ADLC

SDLC = Standard Direct Labor Cost  

ADLC = Actual Direct Labor Cost

DLCV =  (1540 x 2000) - (15.75 x 2080)

DLCV = 1960 USD

c.

For Part c, we need following:

1. variable factory overhead controllable variance (VFOCV)

2. fixed factory overhead volume variance (FFOVV)

3. Total factory overhead cost variance (TFOCV)

variable factory overhead controllable variance (VFOCV):

VFOCV =  AFO - B

Where,

AFO = Actual Factory Overhead  = 8200

B = Budgeted Allowance Based on Standard Hours Allowed = 4160x0.5x4

B = 8320 USD

VFOCV =  8200 - 8320  

VFOCV =   120 USD

fixed factory overhead volume variance (FFOVV) :

FFOVV = (S - BH ) x SOR

Where,

S = Standard Hours for actual output = 4160 x 0.5

BH = Budgeted Hours = 2080

SOR = Standard Overhead Rate = 6 USD

FFOVV = (4160 x 0.5  - 2080) x 6

FFOVV =  0 USD

Total factory overhead cost variance (TFOCV):

TFOCV = AFO - SO

Where,

AFO = Actual Factory Overhead = 20,200

SO = Standard Overhead = 2080 x 10

TFOCV =  20,200 - ( 2080 x 10  )

TFOCV =  600 USD

7 0
3 years ago
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