JACON Limited produces glass bottles for use in a local beverage company.

Currently, JACON produces $1600$ cases of bottles per day. The $20$ workers at

ALLISON Products work from $7$ a$.$m$.$ until $4$ p$.$m$.,$ with $30$ minutes off for lunch

and a $15-$minute break during the morning work session and another at the

afternoon work session. JACON is in the competitive packaging industry and

needs to increase productivity to stay competitive. They feel that a $20$ percent

increase is needed. JACON$$s management believes that the $20$ percent increase

will not be possible without a change in working conditions, so they change work

hours. The new schedule calls on workers to work from $7$:$30$ a$.$m$.$ until $4$:$30$

p$.$m$.,$ during which workers can take one hour off at any time of their choosing.

Obviously, the number of paid hours is the same as before, but production

increases, perhaps because workers are given a bit more control over their

workday. After this change, bottle production increased to $1800$ cases of bottles

per day.

Required:

a$)$ Calculate labor productivity for the initial situation $[4$marks$]$

b$)$ Calculate labor productivity for the hypothetical $20$ percent increase $[4$

marks$]$

c$)$ What is the productivity after the change in work rules? $[3$ marks$]$

d$)$ Write a short paragraph analyzing these results. $[4$ marks$]$