(i) A farmer can plant up to 8 acres of land with wheat and barley.(ii) His use of a necessary pesticide is limited by federal rules to 10 gal. for his entire 8 acres. (iii) Wheat requires 2 gal. of pesticide for every acre planted and barley requires just 1 gal. per acre. If he earns $5000 for every acre he plants with wheat and $3000 for every acre plants with barley, then what is the maximum profit he can make?

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