Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.
[tex]x+y\leq 50[/tex]
Want to make at least $100. It means, the total sales must be greater than or equal to $100.
[tex]4x+6y\geq 100[/tex]
Therefore, the inequalities in the system of linear inequalities are [tex]x+y\leq 50[/tex] and [tex]4x+6y\geq 100[/tex].
