An apiary is located next to an apple orchard. The apiary produces honey and the apple orchard produces apples. The cost function of the apiary is СH (H,A) = H² - 2A. 100 The cost function of the apple orchard is CA (H,A) of honey and apples produced respectively. A² 100' = where H and A are the number of units The price of honey is $1 and the price of apples is $3 per unit. (i) If the firms operate independently, how many apples would be produced? (ii) If the firms merged and were operated by a single owner so as to maximize total profit, how many apples would be produced?