Answer:
<u>Before buying the new equipment:</u>
Number of workers = 7
Production = 70 carts per hour
Worker wage = $15 per hour
Machine cost = $40 per hour
<u>After buying the new equipment:
</u>
Number of workers = 6
Production = 74 carts per hour
Worker wage = $15 per hour
Machine cost = $50 per hour
(a) Labor productivity
Labor productivity = Number of carts produced per hour / Number of workers
Labor productivity (Before) = 70 / 7
Labor productivity (Before) = 10 carts per worker per hour
Labor productivity (After) = 74 / 6
Labor productivity (After) = 12.33 carts per worker per hour
(b) Multifactor productivity
Multifactor productivity = Carts produced / (Labor cost + Equipment cost)
Multifactor productivity = Carts produced / [(Number of workers x Worker wage) + Equipment cost)
Multifactor productivity (Before) = 70 / [(7*$15) + $40]
Multifactor productivity (Before) = 0.48 carts/dollar cost
Multifactor productivity (After) = 74 / [(6*$15) + $50]
Multifactor productivity (After) = 0.53 carts/dollar cost
(c) Increase in productivity
Increase in productivity = [(New productivity - Old productivity) / Old productivity] * 100
Increase in labor productivity = [(12.33 - 10) / 10] * 100
Increase in labor productivity = 0.233 * 100
Increase in labor productivity = 23.30%
Increase in multifactor productivity = [(0.53 - 0.48) / 0.48] * 100
Increase in multifactor productivity = 0.104167 * 100
Increase in multifactor productivity = 10.42%
