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

Answer:

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;

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

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;

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