Dynamic Profit Maximization for a Monopolist

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Assume that a monopolist faces the quasi-linear dynamic inverse demand function , which shifts over time . Assume also it produces with the nonlinear dynamic cost function . The function reveals both economies of scale (decreasing average costs) and learning effects (downward shifts of average and marginal costs) over time. The optimal quantity decisions made by the firm and the prices paid by consumers change over time, leading to profit changes. This Demonstration shows the profit surface in 3D as a function of output and time, and plots marginal cost (), average cost (), demand (), and marginal revenue ().

Contributed by: Christos Papahristodoulou (November 2013)
(Mälardalen University)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.