Bangs Leisure Chairs $($a one$-$person operation$)$ produces three types of handcrafted outdoor chairs popular for beach, pool, and patios: Sling chairs, Adirondack chairs, and Hammocks. The unit profit for these products is $$80,$$$175,$ and $$190,$ respectively. Each type of chair requires cutting, assembling, and finishing. The owner is retired and is available to work only $125$ hours each month. He does not want to spend more thian $30$ hours each month on cutting but can spend up to $50$ hours on either of the other two activities $($assembling$,$ and finishing$).$

The retailer he works with is certain that all products he makes can easily be sold.

The time required for each process for each chair type is given below.

Identify the decision variables, objective function, and constraints using the usual Model Formulation structure.

How many of each type of chair should he produce each month to maximize profit? Excel to help you solve the optimization problem.

Identify any binding constraints and explain the implication $($of binding$).$

$.$ A neighbor with assemnbly skills has offered to help out for five hours each week and is willing to do cutting. She would need" to be paid $$20/$ hour. Should she be hired $($explain your answer using the shadow price$)?$

Please leave your SOLVER work intact.

$\backslash$table$[[,$Cutting Assembly Finishing$],[$Sling$,\frac{1}{2}$ hour $\frac{3}{4}$ hour $1$ hour$],[$Adiron $2$ hours $2$ hours $1$ hour,$],[$Hamm $\frac{4}{10}$ hour $3$ hours $1$ hour,$]]$