1 Answer

Shivam Mitra · Answer 1 · 2021-08-14T20:19:09+0000

Answer:

$x\leq 110$

$y\leq 80$

$x+2y\leq 200$

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

$x\leq 110$ and
$y\leq 80$ .

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

$x+2y\leq 200$ .

Hence, all 3 inequalities are

$x\leq 110$

$y\leq 80$

$x+2y\leq 200$

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