A growing chain is trying to decide which store location to open. The first location $($A$)$ requires a $$500,000$ investment in average assets and is expected to yield annual income of $$80,000.$ The second location $($B$)$ requires a $$200,000$ investment in average assets and is expected to yield annual income of $$42,000.$

$(1)$ Compute the expected return on investment for each location.

$(2)$ Using return on investment, which location $($A or B$)$ should the company open?