An online furniture store sells chairs for $150 each and tables for $550 each. Every day, the store can ship a maximum of 40 pieces of furniture and must sell a minimum of $12000 worth of chairs and tables. If x x represents the number of tables sold and y y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

minimum of 13 chairs must be sold to reach a target of $6500

and a max of 20 chairs can be solved.

Step-by-step explanation:

Given that:

Price of chair = $150

Price of table = $400

Let the number of chairs be denoted by c and tables by t,

According to given condition:

t + c = 30 eq1

t(150) + c(400) = 6500 eq2

Given that:

10 tables were sold so:

t = 10

Putting in eq1

c = 20 (max)

As the minimum target is $6500 so from eq2

10(150) + 400c = 6500

400c = 6500 - 1500

400c = 5000

c = 5000/400

c = 12.5

by rounding off

c = 13

So a minimum of 13 chairs must be sold to reach a target of $6500

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§ALEX§

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