Question 1011862
1) 4x + 2y > or = 1000
2) x + y < or = 500
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using inequality 1
divide by 2
2x + y > or = 500
y > or = 500 - 2x
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using inequality 2
y < or = 500 - x
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combine the y inequalities
500 - 2x < or = y < or = 500 - x
500 - 2x < or = 500 - x
x > or = 0
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using inequalities 1 and 2 we have
x > or = (500 - y) / 2
x < or = 500 - y
(500 - y) / 2 < or = x < or = 500 - y
500 - y < or = 1000 - 2y
y < or = 500
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x > or = 0 and y < or = 500
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{{{graph (700, 500, -1500, 1500, -1500, 1500, x>0, y<500)}}}