A direct time study of a task includes a machine cycle. Elements $1,2$ and $3$ areperformed by the operator, and element $4$ is a machine automatic cycle. Element $1$ is aninternal element to the machine cycle, and element $3$ is an irregular element performedonce in every five cycles. Observed times and performance ratings are given below.Operator element $123$Observed time $($min$)2\mathrm{.}51\mathrm{.}26\mathrm{.}4$Performance rating $(\%)11090100$Machine element $4$Observed time $3\mathrm{.}0($idle$)($idle$)$a$)$ Determine the normal time for the work cycleb$)$ The PFD allowance is $15\%.$ Determine two separate standard times for thework cycles withi. a machine allowance of $0\%.$ii$.$ a machine allowance of $10\%.$c$)$ What is the hourly production rate?