Let:
x = Number of road bikes
y = Number of town Cruisers
A maximum of 60 hours a week is set aside to complete the essay for both types of bike
so:
[tex]2x+y\le60[/tex]
After assembly for safety reasons the assembly needs to be checked and tested it takes 1/2 hour to check and test the road bikes in 1/4 hour to check and test the time Cruisers a maximum of 20 hours per week is set aside to complete these tasks for both types of bike, so:
[tex]\frac{1}{2}x+\frac{1}{4}x\le20[/tex]
Therefore, the system is given by:
[tex]\begin{gathered} 2x+y\le60_{\text{ }}(1) \\ \frac{1}{2}x+\frac{1}{4}y\le20_{\text{ }}(2) \end{gathered}[/tex][tex]\begin{gathered} x\ge0 \\ y\ge0 \end{gathered}[/tex]
