A real estate broker is responsible for selling homes in a new development. There will be two types of floor plans: Model $1$ and Model $2.$ Each Model $1$ will require $0\mathrm{.}6$ acres of land, and each Model $2$ will require $1\mathrm{.}0$ acre of land. Twelve acres of land are available. The broker already has orders for three Model $1$ and four Model $2$ homes, and the contractor has requested that no more than $10$ Model $1$ homes be sold because of other circumstances. The broker also wants to use at most $130$ maple trees to landscape the development. Each Model $1$ and Model $2$ home will receive nine maple trees. The broker receives commissions of $$15,000$ to sell each Model $1$ home and $$8,000$ to sell each Model $2$ home. The broker wants to determine the number of Model $1$ and Model $2$ homes to maximize his commissions. Formulate a linear programming model. $[$Note: $x1=$ the number of Model $1$ homes. $x2=$ the number of Model $2$ homes$]$

Which of the following objective functions is correct?

MinZ$=15,0001+8,0002$

MaxZ$15,0001+8,0002$

MaxZ$=15,0001+8,0002$