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Wally’s Widget Warehouse takes orders from 7 A.M. to 7 P.M. The manager wants to

ID: 443618 • Letter: W

Question

Wally’s Widget Warehouse takes orders from 7 A.M. to 7 P.M. The manager wants to analyze the process and has provided the process flow diagram shown below. There are three steps required to ship a customer order. The first step is to take the order from a customer. The second step is to pick the order for the customer, and then they have to pack the order ready for shipping. Wally promises that every order placed today gets shipped tomorrow. That means that the picking and packing operations must finish all orders before they go home.

Order Taker: 100 customers/hour

Pick Orders: 80 customers/hour

Pack Orders: 75 customers/hour

What is the current maximum daily output of the process assuming that no one works overtime?

How long (in hours) will the picking and packing operations have to work if we have a day where the order taker works at his maximum capacity? (Round your answers to 1 decimal place.)

Given b, what is the maximum number of orders waiting to be picked?

Given b, what is the maximum number of orders waiting to be packed? (Round your intermediate calculations to 1 decimal place.)

Management is considering doubling the packing capacity (from 75 to 150 orders per hour). Please answer the following based on that change.

How long will the picking and packing operations have to work if we have a day where the order taker works at his maximum capacity? (Round your intermediate calculations and final answers to 1 decimal place.)

Given e, what is the maximum number of orders waiting to be picked?

Given e, what is the maximum number of orders waiting to be packed?

How long (in hours) will the picking and packing operations have to work if we have a day where the order taker works at his maximum capacity? (Round your answers to 1 decimal place.)

Given b, what is the maximum number of orders waiting to be picked?

Given b, what is the maximum number of orders waiting to be packed? (Round your intermediate calculations to 1 decimal place.)

Management is considering doubling the packing capacity (from 75 to 150 orders per hour). Please answer the following based on that change.

How long will the picking and packing operations have to work if we have a day where the order taker works at his maximum capacity? (Round your intermediate calculations and final answers to 1 decimal place.)

Given e, what is the maximum number of orders waiting to be picked?

Given e, what is the maximum number of orders waiting to be packed?

Explanation / Answer

Ans a- max output is 100x12hrs=1200, which is that fastest of the steps and the others will work as long as required to finish

Ans b-order takers work 12hrs, doing 1200 orders. 1200/80 per hr for the packers = 1200/80 = 15 hrs to complete

Ans c-pick queue equals 20 (100-80)

Ans d-pack queue equals 20 (80-60)

Ans e-B is still 1200
C is unchanged
D is zero, they have the capacity to do greater than the 80 units coming to them