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Tems11 [23]
2 years ago
5

Way Cool produces two different models of air conditioners. The company produces the mechanical systems in its components depart

ment. The mechanical systems are combined with the housing assembly in its finishing department. The activities, costs, and drivers associated with these two manufacturing processes and the production support process follow. Process Activity Overhead Cost Driver Quantity Components Changeover $ 627,450 Number of batches 890 Machining 379,155 Machine hours 8,050 Setups 108,000 Number of setups 60 $ 1,114,605 Finishing Welding $ 220,580 Welding hours 4,100 Inspecting 254,200 Number of inspections 820 Rework 47,200 Rework orders 160 $ 521,980 Support Purchasing $ 158,600 Purchase orders 488 Providing space 30,900 Number of units 8,400 Providing utilities 126,180 Number of units 8,400 $ 315,680 Additional production information concerning its two product lines follows. Model 145 Model 212 Units produced 2,800 5,600 Welding hours 800 3,300 Batches 445 445 Number of inspections 510 310 Machine hours 2,750 5,300 Setups 30 30 Rework orders 90 70 Purchase orders 325 163 Required: 1. Using ABC, compute the overhead cost per unit for each product line. 2. Determine the total cost per unit for each product line if the direct labor and direct materials costs per unit are $200 for Model 145 and $112 for Model 212. 3. If the market price for Model 145 is $515.95 and the market price for Model 212 is $303.34, determine the profit or loss per unit for each model.
Business
1 answer:
Arlecino [84]2 years ago
4 0

Answer:

Way Cool

1. Overhead Cost per unit for each product line:

                                      Model 145                        Model 212

Overhead cost per unit    $434.97                         $457.59

2. Total cost per unit for each product line:

                                      Model 145                        Model 212

Total cost per unit           $634.97                          $569.59

3. The profit or loss per unit for each model:

                                      Model 145                        Model 212

Market price                      515.95                             303.34

Loss per unit                   $119.02                          $266.25

Explanation:

a) Data and Calculations:

Process Activity     Overheads   Driver Quantity     Components  O/H rates

Changeover          $ 627,450     Number of batches        890          $705

Machining                 379,155      Machine hours            8,050            $47.10

Setups                      108,000      Number of setups            60       $1,800

Total                     $ 1,114,605

Finishing

Welding                 $ 220,580     Welding hours             4,100       $538

Inspecting                 254,200     Number of inspections 820       $310

Rework                        47,200     Rework orders               160       $295

Total                       $ 521,980

Support Purchasing $ 158,600   Purchase orders           488      $325

Providing space            30,900   Number of units        8,400      $3.68

Providing utilities         126,180    Number of units        8,400      $15.02

Total                        $ 315,680

Additional production information concerning its two product lines follows.

                                 Model 145      Model 212

Units produced            2,800             5,600

Welding hours                800              3,300

Batches                           445                 445

Number of inspections   510                 310

Machine hours            2,750             5,300

Setups                               30                  30

Rework orders                 90                   70

Purchase orders            325                 163

                                 Model 145                            Model 212

Units produced            2,800                                  5,600

Welding hours              $430,400 (800*$538)    $1,775,400 (3,300 * $538)

Batches                            313,725 (445*$705)          313,725 (445*$705)

Number of inspections    158,100 (510*$310)             96,100 (310*$310)

Machine hours                129,525 (2,750*$47.10)   249,630 (5,300*$47.10)

Setups                               54,000 (30*$1,800)          54,000 (30*$1,800)

Rework orders                 26,550 (90*$295)            20,650 (70*$295)

Purchase orders             105,625 (325*$325)          52,975 (163*$325)

Total overhead costs $1,217,925                       $2,562,480

Units produced            2,800                                  5,600

Overhead cost per unit    $434.97                         $457.59

Direct labor and materials 200.00                             112.00

Total cost per unit           $634.97                          $569.59

Market price                      515.95                             303.34

Loss per unit                    $119.02                          $266.25

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Here are returns and standard deviations for four investments. Return (%) Standard Deviation (%) Treasury bills 4.5 0 Stock P 8.
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Answer:

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b(i) Standard deviation of the portfolio = 30.00%

b(ii) Standard deviation of the portfolio = 4.00%

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Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Here are returns and standard deviations for four investments.

                                  Return (%)           Standard Deviation (%)

Treasury bills                4.5                                    0

Stock P                          8.0                                   14

Stock Q                        17.0                                  34

Stock R                       21.5                                    26

Calculate the standard deviations of the following portfolios.

a. 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

b. 50% each in Q and R, assuming the shares have:

i. perfect positive correlation

ii. perfect negative correlation

iii. no correlation

(Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

The explanation to the answer is now provided as follows:

a. Calculate the standard deviations of 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

Since there is no correlation between Treasury bills and stocks, it therefore implies that the correlation coefficient between the Treasury bills and stock P is zero.

The standard deviation between the Treasury bills and stock P can be calculated by first estimating the variance of their returns using the following formula:

Portfolio return variance = (WT^2 * SDT^2) + (WP^2 * SDP^2) + (2 * WT * SDT * WP * SDP * CFtp) ......................... (1)

Where;

WT = Weight of Stock Treasury bills = 50%

WP = Weight of Stock P = 50%

SDT = Standard deviation of Treasury bills = 0

SDP = Standard deviation of stock P = 14%

CFtp = The correlation coefficient between Treasury bills and stock P = 0.45

Substituting all the values into equation (1), we have:

Portfolio return variance = (50%^2 * 0^2) + (50%^2 * 14%^2) + (2 * 50% * 0 * 50% * 14% * 0) = 0.49%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.49%)^(1/2) = (0.49)^0.5 = 7.00%

b. 50% each in Q and R

To calculated the standard deviation 50% each in Q and R, we first estimate the variance using the following formula:

Portfolio return variance = (WQ^2 * SDQ^2) + (WR^2 * SDR^2) + (2 * WQ * SDQ * WR * SDR * CFqr) ......................... (2)

Where;

WQ = Weight of Stock Q = 50%

WR = Weight of Stock R = 50%

SDQ = Standard deviation of stock Q = 34%

SDR = Standard deviation of stock R = 26%

b(i). assuming the shares have perfect positive correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 1) = 9.00%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (9.00%)^(1/2) = (9.00%)^0.5 = 30.00%

b(ii). assuming the shares have perfect negative correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = -1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * (-1)) = 0.16%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.16%)^(1/2) = (0.16%)^0.5 = 4.00%

b(iii). assuming the shares have no correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 0

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 0) = 4.58%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (4.58%)^(1/2) = (4.58%)^0.5 = 21.40%

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