The invention of a new machine serves as a mobile station for receiving and accumulating packed flats of strawberries close to where they are picked, reducing workers' time and burden of carrying full flats of strawberries.

According to Rosenberg $(20$ch$),$ a machine$-$assisted crew of $9$ pickers produces as much output, $q^{***},$ as that of an unaided crew of $15$ workers. In a $6-$day, $50-$hour workweek, the machine replaces $300$ worker$-$hours. At an hourly wage cost of $$10,$ a machine saves $$3,000$ per week in labor costs, or $$78,000$ over a $26-$week harvesting season. The cost of machine operation and maintenance expressed as a daily rental is $$180,$ or $$1,080$ for a six$-$day week. Thus, the net savings equal $$1,920$ per week, or $$49,920$ for $26$ weeks.

Draw the $q^{***}$ isoquant assuming that only two production methods are available $($pure labor and labor$-$machine$).$ Label the isoquant and axes as thoroughly as possible.

Add an isocost line to show which technology the firm chooses $($be sure to measure wage and rental costs on a comparable time basis$).$

The machine can be rented for $$30$ per hour $($from $$180$ divided by $6$ hours$).$

$1.)$ Using the line drawing tool, graph the firm's isoquant for producing $q^{**}$ units of output. Label this line 'I.$\text{'}$

$2.)$ Using the line drawing tool, graph the firm's isocost line for producing $q^{**}$ units of output at lowest cost. Label this line $\text{'}$L$.\text{'}$

Carefuly follow the instructions above, and only draw the required objects.