$C_A=$ Maximum Capacity of Machine $A$

$($units $/$hour$)=2$;

Consider the following two$-$machine manufacturing facility

$B_A=$ Maximum Batch Size machine A

can handle: $($units$)=4$;

$C_B=$ Maximum Capacity of Machine $B$

$($units $/$hour$)=1$;

$B_B=$ Maximum Batch Size machine B

can handle: $($units$)=2$

Machine A produces an intermediate product $x_A$ that can be sold directly to the market at

a price $$4$ per unit. However, a unit can receive additional processing on machine B to

get a higher quality product $x_B$ that is sold at $$6$ dollars per units. When machine $A$

produces its units it can produce up to $4$ units simultaneously $($its maximum batch size$)$ in

a fixed amount of time and when machine B processes its units, it can process up to $2$

units simultaneously $($its maximum batch size$)$ in a fixed amount of time. $($From the data

concerning the maximum capacity and the maximum batch size, you can compute how

much time it would take to produce a batch in each one of the two machines. Of course,

the maximum capacity can only be achieved with full batch sizes.$)$

a$)(10$ Points$)$ If the company decide to produce product $x_A$ exclusively $($shut

down machine B$).$

What is the capacity of the system, and what is the throughput time

$($flow time$)$ for units of product $x_A?$

How much total revenue will there be after $1000$ hours of production?