Eric Brown is responsible for upgrading the wireless network for his employer. H has identified seven possible locations to install new nodes for the network. Each node can provide service to different regions within his employer's corporate cam$-$pus. The cost of installing each node and the regions that can be served by each node are summarized below.Node $1$: Regions $1,2,5$; Cost: $$700$Node $2$: Regions $3,6,7$; Cost $$600$Node $3$: Regions $2,3,7,9$; Cost $$900$Node $4$: Regions $1,3,6,10$; Cost $$1,250$Node $5$: Regions $2,4,6,8$; Cost $$850$Node $6$: Regions $4,5,8,10$; Cost $$1,000$Node $7$: Regions $1,5,7,8,9$; Cost $$100$