Answer:
He would receive $15 under incentive plan.
Explanation:
The given values are:
Average observed time
= 280 seconds per unit
Performance rating
= 105%
i.e.,
= 1.05
Allowance factor
= 13%
i.e.,
= 0.13
So,
⇒ [tex]Standard \ time = \frac{(Average \ observed \ time\times Performance \ rating)}{1-Allowance \ factor}[/tex]
On putting the estimated values, we get
[tex]=\frac{(280\times 1.05)}{(1-0.13)}[/tex]
[tex]=\frac{294}{0.87}[/tex]
[tex]= 337.93 \ seconds[/tex]
The available time will be:
= [tex](8 \ hours\times 60 \ min/hr\times 60 \ sec/min)[/tex]
= [tex]28800 \ seconds[/tex]
Now,
The Standard production per day will be:
= [tex]\frac{Available \ time}{Standard \ time}[/tex]
= [tex]\frac{28800}{337.93}[/tex]
= [tex]85.22 \ units[/tex]
Since he generates 100 units, he consumes about 15(00-85,22) units per day well above normal production.
So that he's going to get:
= [tex]15\times 1[/tex]
= [tex]15[/tex] ($)