Solve the problems involving systems of Linear Equations $($Graphical$,$ Substitution, and Elimination

Method$).$ Represent the information given and what is asked. Show your complete solution.

There must be a graph for Business $2$ and Business $3.$ Add labels on the axes; the interval of the values

must be consistent. The graph must be from the table of values based on the values you assign to the

values of $x$ and $y($write the ordered pair to each point$).$

Task Solve each problem and write a recommendation for the business owners. Provide a detailed

explanation for your recommendation. Show your complete solution and graph.

A local government organized a week$-$long activity to support local and small businesses in

the area. There are trade fairs, product promotions, and seminar workshops for new and upcoming

businesses. As a business advisor, you are invited to give recommendations to help new and aspiring

owners with their business dilemmas. Your recommendations will be judged based on the data

accuracy, application of mathematical concepts, and graph accuracy.

Business $1$: Holding Shop

The Holding Furniture is a sustainable furniture shop that aims to create high$-$quality tables

and chairs made exclusively from reclaimed wood and other sustainably sourced wood.

Considerations: The shop has $4000$ board feet of lumber available and a staff who can provide

$350$ hours of labor.

Concern: How many tables and chairs should they make to maximize the profit?

Solution: