Take this hypothetical situation: Suppose that the supply side of the market for electric energy is comprised of two sellers: Seller $1$ and Seller $2.$ Let P be the price of one unit of electric energy, and Q be the quantity of electric energy.

Seller $1$ owns a hydropower factory with a constant marginal cost of $$3$ and can produce a maximum of $10$ units of electric energy. In addition, the hydropower plant has a requirement of a minimum of $3$ units of electric energy.

Seller $2$ owns a solar factory to produce electric energy. This factory has a constant marginal cost of $$5$ and can produce a maximum of $5$ units of electric energy.

A$)$ With this given information, please sketch the market supply by aggregating the two individual supplies. Please label the graph clearly for slopes, kinks, intercepts, etc.

B$)$ Suppose that the price of geothermal increases. On the graph drawn in part A$,$ show precisely how the supply curve changes.

C$)$ Suppose that the price of geothermal increases. In a market equilibrium without government intervention, does the price of electric energy increase? Using the supply drawn in part A and a demand curve $($that satisfies the law of demand$),$ illustrate graphically in the space below $1)$ when the price of electric energy changes and $2)$ when the price of electricity does not change. Draw two separate graphs.