Question

An online furniture store sells chairs for $150 each and tables for $450 each. Every day, the store can ship a maximum of 16 species of furniture and must sell at least $3900 worth of chairs tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

The solution to the system of inequality is in the area of double shading on the graph (blue and red shading)

One possible solution is;

`\begin{gathered} (x,y)=(5,11) \\ 5\text{ tables } \\ 11\text{ chairs} \end{gathered}`

Step-by-step explanation:

Let x represents the number of tables sold and y represents the number of chairs sold.

If the store can ship a maximum of 16 species of furniture;

`x+y\le16\text{ --------1}`

chairs for $150 each and tables for $450 each, and they must sell at least $3900 worth of chairs tables.

`450x+150y\ge\text{ 3900 ------------2}`

Solving graphically;

The solution to the system of inequality is in the area of double shading on the graph (blue and red shading)

One possible solution is;

`\begin{gathered} (x,y)=(5,11) \\ 5\text{ tables } \\ 11\text{ chairs} \end{gathered}`