Answer :
The store needs to sell a minimum of 24 tables while it can sell a maximum of 29 tables.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As it is given that the store can ship only 56 pieces altogether. And 27 chairs have been already sold, which means the number of tables that the store can ship can be written as,
[tex]56 = (\text{Number of chairs}) + (\text{Number of Tables})\\\\56 = 27 + (\text{Number of Tables})\\\\(\text{Number of Tables}) = 56-27 = 29[/tex]
Also, it is mentioned that the minimum sales should be $8,400. and the number of chairs already sold is 27. therefore,
[tex]\rm Total\ revenue= \text{Total revenue from chair}+\text{Total revenue from table}[/tex]
[tex]8400 = (27 \times 50) + (300 \times x)\\x= 23.5 \approx 24[/tex]
Thus, the store needs to sell a minimum of 24 tables while it can sell a maximum of 29 tables.
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