Answer:
[tex]x\leq 110[/tex]
[tex]y\leq 80[/tex]
[tex]x+2y\leq 200[/tex]
Step-by-step explanation:
Given that x and y are the numbers of battery-powered calculators and solar-powered calculators respectively.
As a maximum of 110 solar-powered and 80 battery-powered calculators can be made, so
[tex]x\leq 110[/tex] and [tex]y\leq 80[/tex].
As each solar-powered calculator requires 1 work-hour to produce and each battery-powered calculator requires 2 work-hours
So, total work-hour required to produced x battery-powered calculator and y solar-powered calculator = x+2y
As the maximum available work-hour is 200 hours, so
[tex]x+2y\leq 200[/tex].
Hence, all 3 inequalities are
[tex]x\leq 110[/tex]
[tex]y\leq 80[/tex]
[tex]x+2y\leq 200[/tex]
