If the price of the item is $10.00 per unit and the employees cost $100 each, how many employees should the firm hire to maximize their profit

b. 0.67

Explanation:

UCL = 1 + 0.10

        = 1.10 inch

LCL = 1 - 0.10

       = 0.9 inch

standard deviation = 0.005 inch

mean = 1 inch

Cpk

= min[(UCL - mean)/(3*standard deviation) , (mean - LCL)/(3*standard deviation))]

= min[(1.10 - 1)/(3*0.05) , (1 - 0.9)/(3*0.05))]

= min[0.67 , 0.67]

= 0.67

Therefore, Theprocess capability index (Cpk) if the long-run process mean is 1 inch is 0.67