$2.)$ Sam grows mirlitons $($hats Cajun for Chayote squash$)$ in his $100$ by $100-$ foot garden He then sells the erop at the local farmen's market. Two summers ago, he was able to produce and sell $1200$ pounds of minfitons, Iast summer, he tried a new fertilizer that promised a $506$ ingrease in yield Hlehavested $1700$ pounds First, fill out the below chart $($hint: it's single$-$tactor productivity and percentage of change$).$

$\backslash$table$[[,$Last Srmmer,lochange$],[3).,($b$),(9)]]$

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

$3.$ Gibson Products produces cast bronze valves for use in ofishore ofl plat forms. Gunently, Gibson prodteres $1600$ valves per days The $20$ workers at Gibson work from $7am$ untif $4pm,$ with $30$ minutes of $6$ on lunch and a $15-$minute break during the moming work session and another at the dfencon work session, Gits on is in a competilive industy and needs to increase productivity to stay competitive. They feel that a $20$ parcent hicrease is needed.

Gibsonis management believes that the $20$ percent increace will a ot be joscible without a change in worting conditions, so they change work hous. The new schednle calls on worters to work fiom $230$ am until $430$ hous is the same as before, but production increases, perhags because workens are givena a cit more centrol over their wortsdays. Afier this change, valve production increased to $1800$ units per day.

$($a$)$ Calculate labor productivity for the initial cituation,

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

$($Q$)$ What is the productivity after the change in wotk riles?

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