Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of $0\mathrm{.}45$ that the ATR Co$.$ will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co$.$ does not follow with a competitive product, Weiss's expected profit is $$40,000$; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $$20,000$ profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $$600,000$; if ATR does compete for this market, Weiss expects a loss of $$120,000.$