Problem $1.$ Wheat production, $W,in$ Bushel$\frac{s}{A}$cre $is$ a function $of$ temperature $Tin$

$C$ and annual rainfall, $Rin$ centimeters. Suppose that scientists observe that average

temperature $is$ increasing $by0\mathrm{.}15\frac{C}{?}$ year and rainfall $is$ decreasing $by0\mathrm{.}10c\frac{m}{?}$ year $.$

Further, $itis$ estimated that

$\frac{\text{d}\text{e}\text{l}\text{W}}{\text{d}\text{e}\text{l}\text{T}}=-3,$ and $,\frac{\text{d}\text{e}\text{l}\text{W}}{\text{d}\text{e}\text{l}\text{R}}=9$

$(a)$ Explain, $in$ one $or$ two sentences, the meanin$\frac{g}{s}$ignificance $of\frac{\text{d}\text{e}\text{l}\text{W}}{\text{d}\text{e}\text{l}\text{T}}=-3.Be$

sure $to$ include units $in$ your answer.

$(b)$ Explain, $in$ one $or$ two sentences, the meanin$\frac{g}{s}$ignificance $of\frac{\text{d}\text{e}\text{l}\text{W}}{\text{d}\text{e}\text{l}\text{R}}=9.Be$ sure

$to$ include units $in$ your answer.

$(c)$ Compute the current rate $of$ change $of$ wheat production, $\frac{dW}{dt},$ where $tisin$ years.

$Be$ sure $to$ include units $in$ your answer.