A Printed Circuit Board $($PCB$)$ machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a $4-$minute

setup. This $4-$minute setup time is fixed and is independent of the number of boards to be produced later. Once in production, the PCB machine processes the

boards one by one, and spends $3$ seconds on each board. The batch size the PCB machine uses is $100$ boards$/$batch$.$

The capacity of the PCB machine $=$

boards$/$minute$.($Round off your answer to the FIRST decimal point$)$

$($Difficulty Level $-$ Hard$)$

Type your answer...$\mathrm{.}203$ points

Consider a stage doing batching process with a setup. The curve below depicts the relation between the batch size and the stage capacity. Which of the option below

correctly describes the meaning of the curve? $($Difficulty Level $-$ Easy$)$

Stage capacity increases in batch size proportionally.

Stage capacity increases in batch size. But the marginal improvement has a decreasing trend.

Stage capacity increases in batch size. The marginal improvement also has an increasing trend.