Lawrence J. Lau, Pan A. Yotopoulos, Profit, Supply, and Factor Demand Functions, American Journal of Agricultural Economics, Vol. 54, No. 1 (Feb., 1972), pp. 11-18 ...

In contrast, our method controls for heterogeneous input prices by exploiting the first-order conditions of the firm's profit maximization problem and consistently recovers the production function ...

The paper provides a critical review of the literature on the concept of progressivity in the taxation of petroleum and mineral resources and offers a fresh perspective on its purpose and measurement.

Profit maximization involves minimizing your fixed and variable costs. If you allow your production costs to escalate, price hikes will be inevitable.