From the revenue equation and cost equation , we can say that the company make a profit when x > 1250
Given :
The revenue equation is y=2.6x,
cost equation is y=x+2000
When the company makes profit only when revenue > cost
Lets frame inequality using revenue > cost
Replace the revenue equation and cost equation
[tex]Revenue > cost \\2.6x > x+2000[/tex]
Now solve the inequality for x
Subtract 1x from both sides
[tex]2.6x > 1x+2000\\2.6x -1x> 2000\\1.6x > 2000[/tex]
Divide both sides by 1.6
[tex]x>1250[/tex]
The company makes profit when x is greater than 1250
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