Math test: Picking:114 units per hour Packing: 30% single and 171 units per hour 70% multipack and 266 units per hour Shipping: 570 units per hour There are 102 people for these 4 departments How would you allocate these people if we want to have 47880 units of multipacks ready in a 10h shift
Sigiloso
I think it helps to define the units to start these problems, so let's define variables as follows: p=picking, i=single packing, m=multipack, and s=shipping Units flow from picking to packing to shipping. The variables can be defined as follows algebraically based on the information in the problem: p=i+m, since all picked must be packed i= .7*p, since 70% of picked are single packed m=.3*p, since 30% of picked are multi packed p=s The problem defines that m=47,880, so that means that you can solve for the number picked (p) 47,880 = .7*p, so p=68,400 units and when plugged into i=.3*p, i =20,520 After that, it is just more plug and chug. I like to set up a table Picking units = 68,400, at 114 units/hr requires 600 hours and at 10 hours/shift requires 60 people Packing Single units = 20,520, at 171 units/hr requires 120 hours and at 10 hours/shift requires 12 people Packing Multiple Units = 47,880 at 266 units/hr requires 180 hours and at 10 hours/shift requires 18 people Shipping units = 68,400, at 570 units/hr requires 120 hours and at 10 hours/shift requires 12 people That's how you would split up the resources