Refer to the following Integer Linear Programming $($ILP$)$ model. A manufacturer is trying to determine the optimal produciton quantities for two of their popular models, Aqua Spa and Hydro Lux. The objective is to maximize the total revenue. Each product uses three kinds of resources, Tubing, Labor, and Pumps. In an Excel spreadsheet, implement the following model and obtain the optimal solution.

$($a$)$ Answer the following problem using the optimal solution from excel

Optimal Solution Production Quantities $($Round your answer to the nearest whole number$)$

X$1$:

X$2$:

Total cost:

$($b$)$ Which resource is a binding constraint for the optimal solution?$$

Binding Constraint: