Question A2 A farmer plans to plant 3 crops A, B and C in the coming season. The seed for crops A, B and C costs $30, $40 and $20 per acre respectively and a maximum of $2000 can be spent on seed. Crops A, B and C require 2, 3 and 4 workdays per acre respectively and there are a maximum of 180 workdays available. Let x, y and z be the number of acres of crops A, B and C the farmer should plant respectively. Determine ALL the possible combinations of x, y and z by performing elementary row operations.

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