Bob Cariton's golf camp estimates the workforce requirements for its services over the next two years in the accompanying table.

Click the icon to view the workforce requirements.

Assume that Carlton is permitted to employ some uncertified, part$-$time instructors, provided they represent no more than $15$ percent of the total workforce hours in any quarter. Each part$-$time instructor can work up to $240$ hours per quarter, with no overtime or undertime cost. Labor costs for part$-$time instructors are $$11$ per hour. Hiring and training costs are $$1,750$ per uncertified instructor, and there are no layoff costs.

a$.$ Consider the following proposed low$-$cost$,$ mixed$-$strategy plan:

$\backslash$table$[[$Quarter$,\backslash$table$[[$Demand$],[($hours$)]],$Workforce,$\backslash$table$[[$Cert$],[$Hires$]],\backslash$table$[[$Cert$],[$Layoffs$]],\backslash$table$[[$Work$],[$Hours$]],\backslash$table$[[$PT$],[$Hires$]],\backslash$table$[[$PT$],[$Fires$]],\backslash$table$[[$Overtime$],[($hours$)]]],[1,4,200,9,1,,,,,],[2,6,400,10,1,,720,3,,880],[3,3,000,8,,2,,,3,],[4,4,800,8,,,720,3,,240],[5,4,400,8,,,560,,,],[6,6,240,10,2,,720,,,720],[7,3,600,8,,2,,,3,],[8,4,800,8,,,720,3,,240],[$Total$,,69,4,4,3,440,9,6,2,080]]$