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Data from problem 1.6 in textbook: Last Year ; now Units produced 1,000 ; 1,000

ID: 462996 • Letter: D

Question

Data from problem 1.6 in textbook:

Last Year ; now
Units produced 1,000 ; 1,000
Labor (hours) 300 ; 275
Resin (pounds) 50 ; 45
Capital invested ($) 10,000 ; 11,000
Energy (BTU) 3,000 ; 2,850

1.7 Eric Johnson (using data from Problem 1.6 from the textbook.... Pictured Above!) determines his costs to be as follows:

labor $10 per hours;
resin $5 per pound;
capital 1% per month of investment;
energy $.50 per BTU

What is the percent productivity change, for one month last year versus on month this year, on a multifactor basis with dollars as the common denominator?

Explanation / Answer

Last Year

Labor cost ( 300hrs, $10) = 300*10 = $3000

Resin cost (50 pounds , $5) = 50 * 5 = $250

Capital ($10000 , 1%) = 10,000 * 0.01 = $100

Energy (3,000 , $.50) = 3,000 * .5 = 1500

Total cost = Labor cost + Resin cost + Capital + Energy = $3000 + $250 + $100 + 1500 = $4850

Multi productiivity = No of units produced / Total cost = 1,000/4850 = 0.2062 units/dollar

Present year:

Labor cost ( 275hrs, $10) = 270*10 = $2750

Resin cost (45 pounds , $5) = 45 * 5 = $225

Capital ($11000 , 1%) = 11,000 * 0.01 = $110

Energy (2,850 , $.50) = 2850 * .5 = 1425

Total cost = Labor cost + Resin cost + Capital + Energy = $2750 + $225 +  $110 + $1425 =$4510

Multi productiivity = No of units produced / Total cost = 1,000/$4510 = 0.2217 units/dollar

Percent productivity change = ((0.2217 - 0.2062)/0.2062)*100 = 0.075388*100 = 7.54 %