Question: Consider two price vectors q1 and q0 and the corresponding optimal production plans z1 and Zo Because z1 is feasible but not necessarily optimal for q0, it must yield a lower profit than Zo at this price vector. Using this observation, show that for any i, Δqi, Δzi ≥ 0 (e.g., for the first component of these vectors we have ΔpΔy ≥ 0, i.e., an increase in the price of output must yield an increase in supply).