A cotton grower produces cotton for ginning and cotton seed. On his X acres, he produces 20X^2 pounds of seed and 50X pounds of cotton. The price he receives for seed and cotton are $.625/pound and $1.00/pound, respectively.
1. Assuming the total variable cost per acre is X^3 and his fixed cost is $250, what are the optimal acres to be planted to maximize profit and what will that profit be?