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antiseptic1488 [7]
2 years ago
6

Suppose there are 75 million people in the labor force. The labor force participation rate is 60% and the unemployment rate is 8

%. Instructions: Enter whole numbers in each box. a. The number of people in the working-age population is . b. The number of people who are part of the working-age population but not part of the labor force is . c. The number of unemployed workers is . d. The number of employed workers is
Business
1 answer:
max2010maxim [7]2 years ago
5 0

Answer:

a). The number of people in the working age population=125 million

b). The number of people who are part of the working-age population but not part of the labor force=50 million

c). The number of unemployed workers=6 million

d). The number of unemployed workers=69 million

Explanation:

a).

The labor force is the total number of people who are employed and also the unemployed who are looking for work.

The labor participation rate is a percentage expressed as;

Labor participation rate=(total number of employed+unemployed looking for work)/Total number in working age population

where;

total number of employed and unemployed looking for work=75 million

labor participation rate=60%

total number in working age population=p

replacing;

(60/100)=75 million/p

60 p=75 million×100

p=75 million×100/60

p=125 million

The number of people in the working age population=125 million

b). Working age population but not labor force=Total working age population-labor force

=(125-75)=50 million

The number of people who are part of the working-age population but not part of the labor force=50 million

c). Unemployment rate=(number of unemployed persons/labor force)×100

where;

number of unemployed persons=x

Unemployment rate=8%

labor force=75 million

replacing;

8/100=x/75 million

x=75 million×8/100=6 million

The number of unemployed workers=6 million

d). Labor force=number of employed workers+number of unemployed workers

where;

labor force=75 million

number of employed workers=y

number of unemployed workers=6 million

replacing;

75 million=y+6 million

y=(75-6) million

y=69 million

The number of unemployed workers=69 million

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1. Unit cost using direct labor hours to apply overhead:

Unit Cost

Model A $167.985

Model B $226.99

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Unit Cost

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Model B $287.28

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Explanation:

a) Data and Calculations:

Activity                    Expected Cost      Activity Driver    Activity Capacity

Setting up equipment   $548,080       Number of setups          680

Ordering costs                 313,200        Number of orders     17,400

Machine costs                 939,400        Machine hours         42,700

Receiving                         343,000        Receiving hours         9,800

Total overhead costs $2,142,680

Activity Rates:

Setting up equipment   $806 per setup ($548,080/680)

Ordering costs              $18 per order ($313,200/17,400)

Machine costs              $22 per machine hour ($939,400/42,700)

Receiving                     $35 per receiving hour ($343,000/9,800)

                                    Model A            Model B

Direct materials        $600,000          $800,000

Direct labor               $480,000          $480,000

Overhead applied  $1,063,500        $1,018,200

Total costs              $2,143,500      $2,298,200

Units completed            16,000               8,000

Cost per unit                $133.97         $287.275

Direct labor hours          6,000               2,000

Number of setups             400                  200

Number of orders          6,000             12,000

Machine hours             24,000             18,000

Receiving hours             3,000               7,000

The company's normal activity is 8,000 direct labor hours.

Assignment of overhead costs:

                                        Model A                               Model B

Number of setups         $322,500 (400 * $806)    $161,200 (200 * $806)

Number of orders            108,000 (6,000 * $18)      216,000 (12,000 * $18)

Machine hours                528,000 (24,000 * $22)  396,000 (18,000 * $22)

Receiving hours               105,000 (3,000 * $35)    245,000 (7,000 * $35)

Total overhead applied $1,063,500                    $1,018,200

Overhead based on direct labor hours:

Total overhead costs = $2,143,680

Total direct labor hours = 8,000 (6,000 + 2,000)

Overhead rate per DLH = $267.96

Allocation of overhead:

                                    Model A                           Model B

Direct labor hours          6,000                            2,000

Overhead (DLH) $1,607,760 ($267.96 *6,000) $535,920 ($267.96  * 2,000)

                                    Model A            Model B

Direct materials        $600,000          $800,000

Direct labor               $480,000          $480,000

Overhead applied  $1,607,760          $535,920

Total costs             $2,687,760        $1,815,920

Units completed           16,000                8,000

Cost per unit            $167.985            $226.99

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