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In the xy-plane, if a point with the coordinates lies in the solution set of this system of inequalities, what is the maximum possible value of f?

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In the xy-plane, if a point with the coordinates <img alt='images' src='https://www.fatskills.com/images2/SAT/eq04642.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mfenced open='(' close=')'><m:mrow><m:mrow><m:mi>e</m:mi><m:mo>,</m:mo><m:mtext> </m:mtext><m:mi>f</m:mi></m:mrow></m:mrow></m:mfenced></m:mrow></m:math>--> lies in the solution set of this system of inequalities, what is the maximum possible value of f? <img alt='images' src='https://www.fatskills.com/images2/SAT/eq04643.png'/><!--<m:math display='block' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mtable><m:mtr><m:mtd><m:mi>y</m:mi><m:mo><</m:mo><m:mo>-</m:mo><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>1</m:mn><m:mo>,</m:mo><m:mn>000</m:mn></m:mtd></m:mtr><m:mtr><m:mtd><m:mi>y</m:mi><m:mo><</m:mo><m:mn>2</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>100</m:mn></m:mtd></m:mtr></m:mtable></m:math>-->






 
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