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5. Write an inequality to represent the following constraint. Manufacturing one chair ( x ) requires 9 ft of aluminum tube, and manufacturing one table ( y ) requires 15 ft of aluminum tube. There are 550 ft of aluminum tubes available. ______ ≤ _______

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SOLUTION

We can interprete the question thus

[tex]\begin{gathered} x\rightarrow9ft\text{ of aluminium } \\ y\rightarrow15ft\text{ of aluminium } \end{gathered}[/tex]

And the total aluminium available is 550 ft, so this means

[tex](9\times x)+(15\times y)\leq550[/tex]

Hence, the answer is

[tex]9x+15y\leq550[/tex]

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