Gibson Products produces cast bronze valves for use in offshore oil platforms. Currently, Gibson produces $1600$ valves per day. The $20$ workers at Gibson 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. Gibson is in a competitive industry, and needs to increase productivity to stay competitive. They feel that a $20$ percent increase is needed.

Calculate labor productivity for the initial situation valves$/$hour

Calculate labor productivity for the hypothetical $20$ percent increase valves$/$hour

What is the overall daily output target, given the $20$ percent increase?

What is the increase in labor productivity comparing the initial production to the needed change?