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SCORPION-xisa [38]
3 years ago
12

Woodman Products, Inc., has found that new products follow a learning curve. The first two units have been completed with the fo

llowing results: Units Produced Marginal Labor Time 1 112.50 2 90.00 Required: (a.) How much time will be needed to complete the 4th unit(b) How much time will be needed to complete the 8th unit(c) How much time will be needed to complete the 16th unit
Business
1 answer:
ahrayia [7]3 years ago
5 0

Answer:

(a) 72

(b) 57.6

(c) 46.08

Explanation:

Given that,

Units produced = 1

Marginal Labor Time = 112.50

Units produced = 2

Marginal Labor Time = 90.00

First, we need to calculate the learning rate.

Learning Rate:

= (Marginal labor time for producing 2 units ÷ Marginal labor time for producing 1 units) × 100

= (90 ÷ 112.50) × 100

= 80%

At production level of 1 unit:

Marginal Labor time = 112.5

At production level of 2 units:

Marginal Labor time:

= Marginal Labor time at 1 unit × Learning rate

= 112.5 × 80%

= 90

(a) At production level of 4 units:

Marginal Labor time:

= Marginal Labor time at 2 units × Learning rate

= 90 × 80%

= 72

(b) At production level of 8 units:

Marginal Labor time:

= Marginal Labor time at 4 units × Learning rate

= 72 × 80%

= 57.6

(c) At production level of 16 units:

Marginal Labor time:

= Marginal Labor time at 8 units × Learning rate

= 57.6 × 80%

= 46.08

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ANTONII [103]

Answer:

Fredonia Barber Shop

a. Variable costs per haircut = $4.40

   Total monthly fixed costs = $8,910

b. Break-even point in units = 1,350

Break-even point in sales dollars = $14,850

Net income with 1,670 haircuts = $2,120

Explanation:

a) Data and Calculations:

Fixed costs:

Wages of barbers per month =    $6,900 ($1,380 * 5)

Manager's allowance per month = $535

Advertising per month =                 $270

Rent per month =                           $1,010

Utilities per month =                        $160

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Total fixed costs per month =     $8,910

Ivanhoe currently charges $11 per haircut.

Variable costs per haircut:

Commission per haircut =       $3.75

Barber supplies per haircut = $0.50

Utilities per haircut =                $0.15

Total variable costs per unit   $4.40

Contribution margin per haircut = $6.60 ($11 - $4.40)

Contribution margin ratio = 0.6

Break-even point in units = $8,910/$6.60 = 1,350

Break-even point in sales dollars = $8,910/0.6 = $14,850

Net income assuming 1,670 haircuts for a month:

Sales revenue = $18,370 ($11 * 1,670)

Variable costs =     7,340 ($4.40 * 1,670)

Contribution       $11,030

Fixed costs            8,910

Net income         $2,120

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A population grows with an annual growth rate of 16.3 % per year. (a) what is the monthly growth rate?
zysi [14]
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monthly growth rate = ?
Months in one year = 12
let x be the monthly growth of population.
16.3% = 0.163
1+ 0.163 = 1.163
Now, (1.163)¹/¹² = 1.01266
for monthly growth percent
1.01266 - 1 = 0.01266 = 0.01266 x 100 = 1.266%≈ 1.3%

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