Mr Store who runs his photocopy business working 8 hours per day process 100 scripts. He estimates his labour cost to be € 9 per hour. Also he has estimated that the total material cost for each script is approximately € 2; while the daily expenses are €28. Calculate the multifactor productivity. In an effort to increase the rate of the photocopy process to 150 scripts, he decides to change the quality of ink thus raising the mate- rial cost to € 2.5 per day. Is the new productivity better than before? If Mr Store would like to increase the photocopy process to 150 scripts without sacrificing the initial multifactor productivity, by what amount has the material costs to be increased?

A) 0.33 scripts per euro

B) The new productivity is worse than the old productivity

C) 0.333 euros per script

Explanation:

number of hours worked per day = 8

number of scripts processed per day = 100

Labor cost per hour = 9 euros

Total labor cost per day = 9 * 8 = 72 euros

material cost per script = 2 euros

Total material cost per day = 2 * 100 = 200 euros

daily expenses = 28 euros

A) Calculate the multifactor productivity

= output / Total cost

Total cost =  ( 72 + 200 + 28 ) = 300

= 100 / 300

= 0.33 scripts per euro

B ) compare the old and new productivity

Old productivity = 0.33 scripts / euro

new multifactor productivity

= output / Total cost

Total cost = (8*9)+(150*2.5)+28 = 475

= 150 / 475

= 0.3158 scripts per euro

hence the new productivity is worse than the old productivity

C ) using the initial multifactor productivity of 0.333

calculate the target total cost = output / multifactor of productivity

= 150/0.333

= 450 euros

hence  Material cost = (450 - 8*9-28)/150

= 2.33 euro per script

So, the material cost will be increased by = 2.33 euros - 2

euros

= 0.333 euros per script

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