BiggerBetter Widgets Co. makes World-Class Widgets using a relatively simple process (see flow chart below) with the following parameters. Their factory works from 9 AM to 5 PM with a 30 minute lunch from 12:30 to 1:00. Step 1: Metal Cutting Metal Cutting is performed by an automated cutter which takes one person to operate. The operator loads coils of rolled steel into the cutter, which takes 7.5 minutes. After the coil is loaded, the cutting machine makes a cut every second. Each coil of steel makes exactly 6,000 blanks; one blank is required for each widget. Step 2: Stamping The Stamping process shapes the widget. This step is performed by one of three separate stamping presses. Two of the stamping machines are older models which stamp a blank into a widget every 3 seconds. The third stamping machine is more efficient and stamps a blank into a widget every 2 seconds. Step 3: Polishing Polishing step is performed manually by one of 8 employees. Each employee can polish one widget to its finished quality state in 8 seconds. The profit per World-Class Widget $2.50/unit. Assume also that there is sufficient demand to match the capacity of the process

Metal cutting -> Stamping -> Polishing

a) Calculate the processing rate (capacity) of this process in units/day

b) Report the utilization for each step at the factory.

c)Calculate the daily profits for World-Class Widgets