An Apiary Is Located Next to an Apple Orchard

Multiple Choice

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 C_H(H, A) = H ²/100 - 2A and the cost function of the apple orchard is C_A(H, A) = A²/100, where H and A are the number of units of honey and apples produced respectively.The price of honey is $1 and the price of apples is $3 per unit.Let A₁ be the output of apples if the firms operate independently, and let A₂ be the output of apples if the firms are operated by a single owner so as to maximize total profit.

A) A₁ = 75 and A₂ = 150.
B) A₁ = A₂ = 150.
C) A₁ = 125 and A₂ = 150.
D) A₁ = 150 and A₂ = 250.
E) A₁ = 50 and A₂ = 150.