Lillian Fok is president of Lakefront Manufacturing a produc
Lillian Fok is president of Lakefront Manufacturing,
a producer of bicycle tires. Fok makes 1,200 tires per day with the
following resources.
Labor: 400 hours per day @ $12.50 per hour
Raw material: 21,000 pounds per day @ $1.50 per pound
Energy: $5,000 per day
Capital costs: $10,250 per day
a) Labor productivity per labor hour for these tires =
tires/labor hour (round your response to two decimal places).
b) Multifactor productivity for these tires =
tires/dollar (round your response to four decimal places).
c) The percent change in multifactor productivity if Fok can reduce the energy bill by
$1,000
per day without cutting production or changing any other inputs =
(enter your response as a percentage rounded to two decimal places).
Note: calculate the new multifactor productivity to four decimal places before calculating the percentage change.
Solution
a. total working hours per day= 400 hours
total units produced per day= 1200
per hour labor production= tota units produced in a day/ number of working hours in the day
= 1200/400= 3 units per hour
b. multifactory productivity= output/ all inputs incost
labor cost= 400*12.50= $5000
material cost= 21,000*1.5= $31,500
energy+capital cost= 5000+10,250= 15,250
MFP= (5000+31500+15,250)/400= 51650/400= $129.125
c. if the cost reduced by 1000 per day= 50650/400= 126.625

