$2.)$ Sam grows mirlitons $($that$\text{'}$s Cajun for Chayote squash$)$ in his $100$ by $100-500t$ garden. Flethen sells the erop at the local farmen' market. Two summers ago, he was able to produce and sell $1200$ pounds of mintitons, Iast summer, he tried a new fertilizer that promised a $50\%$ inerease in yield. Fle harvested $1700$ pounds. First, fill out the below chart $($hint: it's single$-$factor productivity and percentage of change$).$

$$

d$)$ Did the fertilizer live up to its promise?

$3.$ Gibson Products produces cast bronze valves for use in ofishore ofl plat forms. Currently, Gibsonp prodtices $1600$ valves per day. The $20$ workers at Gibson work from $7am$ untif $4pm,$ with $30$ minutes off cor lunch and a $15-$minute break during the moming work session and another at the aftemoon wotk session, Gibson is ina competilive industiy and needs to increase productivity to stay competitive. They feel that $2020$ percent hinerease is needed.

Gibson's management believes that the $20$ percent increase will not be possible willout a clange in working conditions, so they change wotk hours. The new schedile calls on workes to work from $730$ am until $430$ p$.$m$,$ during which wodkers can take one hour off at any time of their choosing Obviously, the aumber of paid hours is the same as before, but production increases, perhaps because workens are given a bit more centrol over their workday. After this change, valve production increased to $1800$ units per clay.

$($a$)$ Calculate labor productivity for the initial situation.

$($b$)$ Calculate labor productivity for the hypothetical $20$ percent increase.

$($c$)$ What is the productivity afier the change in work rules?

$($d$)$ Analyzo the results from OM's perspective.