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

following process flow diagram. 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 plck the order for the customer, and then they have to pack the order to ready it for shipping. The

order$-$taking step works at a maximum rate of $100$ customer orders per hour. Order picking works at a maximum of $80$ per hour, and

packing works at $60$ per hour.

Wally wants to figure out the followng:

a$.$ What is the current maximum output of the process assuming that no one works overtime? $($For your answers to these questions,

assume that everyone can start working at $7$ A$.$M$.)$

b$.$ How long will the picking and packing operations have to work if we have a day where the order taker works at hls maximum

capacity all day?

$c.$ Given $b.$ what is the maximum number of orders walting to be picked?

d$.$ Given b$.$ Whats the maximum number of orders waiting to be packed?

Management is considering doubling the packing capacity $($from $60$ to $120$ orders per hour$).$ Please answer the following based on that change.

e$.$ 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?

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

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