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Two students Ann and Carl work x and y hours per week, respectively. Together they can work at most 40 hours per week. According to

Two students Ann and Carl work x and y hours per week, respectively. Together they can work at most 40 hours per week. According to the rules for part timers Ann can work at most 8 hours more that Carl. But Carl can work at most 6 hours more than Ann. There is an extra constraint 18<2y+x. Determine the region for these constraints USING GRAPHICAL METHOD.
1 (a). If Ann and Carl earn $15 and $17 per hour, respectively, then find their maximum combined income per week.
1 (b). If Ann and Carl earn $17 and $15 per hour, respectively, then find their maximum combined income per week.
1 (c). If Ann and Carl both earn $16 per hour, respectively, then find their maximum combined income per week.  

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