For Option #1, you will explore how graph coloring concepts can be applied to the real- world problem of installing Wi-Fi stations in an office. Suppose that an office is installing four Wi-Fi stations throughout the building, and that any stations within 150 feet of each other must transmit on different channels. Complete the following tasks: a. Create your own office configuration and fill in the table with the distances between each pair of Wi-Fi stations in your office. (Note: The maximum distance possible between any two Wi-Fi stations is 200 ft.) ___ ___ _ _ ___ b. Suppose the engineers want to minimize the number of channels. Draw a graph that would be useful to solve this problem. (Hint: Edges should connect two stations when the distance is less than 150 feet.) c. Discuss how this problem can be solved using graph coloring concepts. {1. Solve the problem. e. Explain what the chromatic number of the graph you created in part (b) would tell the engineers installing the Wi-Fi stations. [I Hrlifinnal Dam Iirnmnnfc