A hamburger factory produces 60,000 hamburgers each week. The equipment used costs $10,000 and will remain productive for four years. The labor cost per year is $13,500.

A. What is the productivity measure of "units of output per solar of input" averaged over the four-year period?

B. The company has the option of purchasing equipment for $13,000, with an operating life of five years. It would reduce labor costs to $11,000 per year. Should it consider purchasing this equipment (using productivity arguments alone)?

Respuesta :

Answer:

A. 195 hamburgers

B. Yes

Explanation:

The computation is shown below:

A. Productivity measure = (Annual output) ÷ (Annual labor cost + annual equipment cost)

where,

Annual output = 60,000 × 52 weeks = $3,120,000

Annual labor cost = $13,500

Annual equipment cost

= $10,000 ÷ 4

= $2,500

So, the productivity measure is

= ($3,120,000) ÷ ($13,500 + $2,500)

= 195 hamburgers

B. Productivity measure = (Annual output) ÷ (Annual labor cost + annual equipment cost)

where,

Annual output = 60,000 × 52 weeks = $3,120,000

Annual labor cost = $11,000

Annual equipment cost

= $13,000 ÷ 5

= $2,600

So, the productivity measure is

= ($3,120,000) ÷ ($11,000 + $2,600)

= 229 hamburgers

Since the productivity is increased from 195 hamburgers to 229 hamburgers so the equipment should be purchased.

Part A:

The productivity measure of "units of output per solar of input" averaged over the four-year period :

Formula:

Productivity measure = (Annual output) ÷ (Annual labor cost + annual equipment cost)

 

  • Annual output = 60,000 × 52 weeks = $3,120,000
  • Annual labor cost = $13,500
  • Annual equipment cost = $10,000 ÷ 4 = $2,500

Productivity measure  = ($3,120,000) ÷ ($13,500 + $2,500)

Productivity measure= 195 hamburgers

The productivity measure of "units of output per solar of input" averaged over the four-year period is 195 hamburgers.

Part B:

Should it consider purchasing this equipment :

  • Yes

Formula :

Productivity measure = (Annual output) ÷ (Annual labor cost + annual equipment cost)

  • Annual output = 60,000 × 52 weeks = $3,120,000
  • Annual labor cost = $11,000
  • Annual equipment cost = $13,000 ÷ 5 = $2,600

Productivity measure  = ($3,120,000) ÷ ($11,000 + $2,600)

Productivity measure = 229 hamburgers

Thus, the productivity is increased from 195 hamburgers to 229 hamburgers so the equipment should be purchased.

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