A farmer wants to plant grass type F and grass type T on a 1 050 hectare
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Question:
A farmer wants to plant grass type F and grass type T on a 1 050 hectare piece of land. The input cost for grass type F is R250, and for grass type T is R125 per hectare. In total the farmer cannot spend more than R225 000. It takes 20 hours per hectare to plant grass type F and 30 hours per hectare to plant grass type T. The farmer only has 24 000 hours available. The contribution per hectare is R2 000 for grass type F and R2 500 for grass type T.
Required: Use the graphical method to and simultaneous equations to determine how many hectares of each type of grass the farmer must plant in order to maximise his profits.
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