Go back to the example LP problem about Blue Ridge Hot Tubs $($Ragsdale$,$ C$.$ T$.(2012).$ Spreadsheet modeling & decision analysis: a practical introduction to management science. South Western, Cengage Learning. $($pp$.21-23).$

a$.$ Suppose Howie Jones has to purchase a single piece of equipment for $$1,000$ in order to produce any Aqua$-$Spas or Hydro$-$Luxes. How will this affect the formulation of the model of his decision problem?