Ponderosa Homes has just made a commitment to build the new gated community of Windstream. This community will consist of 1 1 0 homes in an undeveloped area off Hicks Canyon Boulevard. The gate for...

Ponderosa Homes has just made a commitment to build the new gated community of Windstream. This community will consist of 1 1 0 homes in an undeveloped area off Hicks Canyon Boulevard. The gate for the community will be placed on a 150-foot-long street (tentatively called Venida Street) that will lead from Hicks Canyon Boulevard into the Windstream community. Venida Street as well as any other street constructed in the community, will be 35 feet wide. Roads inside the community must be built so that every house has access to Venida and, hence, to all the other houses. Given the geography and other cost factors, the figure for problem 1 0 shows the possible set of streets that can be built between the 10 clusters (of 11 homes each) and Venida Street. (Distances are in feet.)

Since Ponderosa Homes, and not the city, must pay for constructing the streets, and costs are proportional to the total area of streets built, what set of streets do you recommend Ponderosa build? Including Venida Street, what is the total square footage of streets required for the Windstream community?