Answer:
A. Multifactor productivity
Original Value of output 2500 un. x $200/un. = $500,000 Value of input 2500 un x $120/un. = $300,000 Multi-factor productivity $500,000/$300,000 = 1.67 Overtime Value of output 4000 un. x $200/un. = $800,000 Value of input 4000 un. x $144/un. = $576,000 Multi-factor productivity $800,000/$576,000 = 1.39 Multi-factor productivity (1.67 – 1.39) / 1.67 = 16.8% decrease
B. LABOR PRODUCTIVITY
Original Value of output 2500 un. x $200/un. = $500,000 Input = (100 people x 40 hr/person) = 4000 hours Labor productivity $500,000/4000 hr = $125/hr Overtime Value of output 4000 un. x $200/un. = $800,000 Input = (100 people x 72 hr/person) = 7200 hours Labor productivity $800,000/7200 hr = $111/hr Labor productivity ($125/hr – $111/hr) / $125/hr = 11.1% decrease
C.GROSS PROFITS
Original $500,000 - $300,000 = $200,000 Overtime $800,000 - $576,000 = $224,000
$24,000 increase