Find the shortest path through the following network using dynamic programming. 
Definitions:
Market Price
The current price at which an asset or service can be bought or sold, determined by the supply and demand dynamics in the market.
Downward-Sloping Demand Curves
A graphical representation indicating that as the price of a good or service decreases, the quantity demanded increases, and vice versa.
Perfect Competition
A market structure characterized by a large number of small firms, identical products, and free entry and exit from the market.
Identical Goods
Products that are indistinguishable from each other in the eyes of the consumer, often associated with perfect competition markets.
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