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Question Help As part of a study for the Department of Labor Statistics, you are

ID: 333908 • Letter: Q

Question

Question Help As part of a study for the Department of Labor Statistics, you are assigned the task of evaluating the improvement in productivity of small businesses. Data for one of the small businesses you are to evaluate is shown below. The data are the monthly average of last year and the monthly average this year. Determine the multifactor productivity using the following costs: labor $8 per hour capital 083% per month of investment; energy $0.60 per BTU Monthly Average Last Year This Year 1,500 350 Capital investment (S)15,000 3,000 1,500 325 18,000 2.750 Labor (hours) Energy (BTU) Last year, the multifactor productivity was dozen/S (round your response to three decimal places) This year, the multifactor productivity is dozen/S (round your response to three decimal places) The percent change in productivity for the monthly average last year versus the monthly average this year on a multifactor basis with dollars as the common denominator is % enter your response as a percentage rounded o one dec mal place n. S

Explanation / Answer

Ans 1)

The monthly average of production(in dozen) last year = 1500

Labour cost per hour = $8

Total labour hours = 350

Total labour cost = $8 * 350

= $2800

Energy cost per BTU = $0.60

Total energy (in BTU) = 3000

Total energy cost = 0.6 * 3000

= $1800

Total capital investment = $15000

Total capital usage per month = 0.83% of total capital investment

= (0.83/100)* 15000

= $124.5

Total monthly average cost = $2800 + $1800 + $124.5

=$4724.5

Multi factor productivity of last year = 1500/ 4724.5 = 0.317 dozen per dollar

Ans 2)

The monthly average of production(in dozen) last year = 1500

Total labour hours = 325

Total labour cost = $8 * 325

= $2600

Total energy (in BTU) = 2750

Total energy cost = 0.6 * 2750

= $1650

Total capital investment = $18000

Total capital usage per month = 0.83% of total capital investment

= (0.83/100)* 18000

= $149.4

Total monthly average cost = $2600 + $1650 + $149.4

=$4399.4

Multi factor productivity of this year = 1500/ 4399.4 = 0.340 dozen per dollar

Ans 3)

% change in productivity on a multifactor basis =[ (0.340 - 0.317) / 0.317] * 100

= 7.2%

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