An online furniture store sells chairs for $150 each and tables for $700 each.

Question

An online furniture store sells chairs for $150 each and tables for $700 each. Every day, the store can ship no more than 24 pieces of furniture and must sell no less than $5100 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

The border of the area you need is given by the 2 equations:

C + T = 24

and 150C + 700T = 5100.

Graph those 2 equations and figure out which area satisfies the problem.

P.S.

You will probably need to graph the 2nd equation as 1.5C+7T=5.1 and interpret your answers accordingly.