edited by
203 views
0 votes
0 votes
The state government has decided to regulate the sale and distribution of solar power. There are multiple suppliers and consumers, as described in the tables below. The supplier table lists the amount of electricity generated by each supplier, in megawatts $\text{(MW)}$, and the supplier's selling price per $\text{MW}$. The consumer table lists the amount of electricity required by each consumer, in $\text{MW}$, and the price the consumer will pay per $\text{MW}$.

$$\begin{array}{||c|c|c||} \hline \hline \text{Supplier ID} & \text{Quantity} & \text{Price} \\ \hline 1 & 400 & 150 \\ 2 & 180 & 225 \\ 3 & 250 & 170 \\ 4 & 120 & 300 \\ 5 & 240 & 200 \\ \hline \hline \end{array} \qquad \begin{array}{||c|c|c||} \hline \hline \text{Consumer ID} & \text{Quantity} & \text{Price} \\ \hline 1 & 400 & 180 \\ 2 & 300 & 210 \\ 3 & 560 & 200 \\ 4 & 240 & 160 \\ \hline \hline \end{array}$$

The government wishes to fix a uniform market price per $\text{MW}$ for solar power. If this price is $p$, any seller whose selling price is at most $p$ will be willing to sell some or all of the electricity they generate at price $p$. Similarly, any consumer who is willing to pay at least $p$ can buy as much electricity as they need at price $p$, upto their required quantity.

Find the value of $p$ at which the maximum amount of solar power can be bought and sold on the market.
edited by

Please log in or register to answer this question.

Related questions