$(c)(10)$ Suppose that John's hourly wage may either rise $toW=9or$ fall $toW=3.$ Using

the table, find how many hours $of$ labor $he$ will supply $at$ each wage level.

$(d)(10)$ Using the following table, plot John's labor supply curve. What $is$ the price elas$-$

ticity $of$ labor supply?

$(30)$ Now consider Farmer John's profit maximizing problem $as$ a producer. Suppose that

$he$ can harvest cabbages $at$ a constant rate $A=6,so$ that the quantity that $he$ can produce

using $L$ hours $of$ labor $is$ given $by$

$Q=F(L)=AL=6L$

Again, fix the price $of$ cabbages $atP=1$ but let the wage rate $Wbe$ variable.

$(a)(10)$ What $is$ John's marginal product $M{P}_L$ and marginal revenue product $MR{P}_{L}of$

labor?

$(b)(10)$ Using the following table, plot John's labor demand curve. What $is$ the price

elasticity $of$ demand?

$(c)(10)$ Find the equilibrium wage $W^{*}$ and hours $of$ labor $L^{*}.(30)$ Alongside the labor market, the market for cabbages must also clear $to$ reach a general

equilibrium. Now fix the wage rate $at$ the equilibrium level $W^{*}$ and allow the price $of$ cabbages

$Pto$ vary.

$(a)(10)$ Using what you know about John's labor supply, fill out the table $to$ find John's

demand for cabbages $Q^{D}at$ each price.

$(b)(10)$ Find John's total cost $TC,$ average cost $AC,$ and marginal cost $MC$ functions, and

fill out the table $to$ find John's supply $of$ cabbages $Q^{S}at$ each price.

$(c)(10)$ Find the equillibrium price $P^{*}$ and quantity $Q^{*}of$ cabbages.