Howard$$ Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a

probability of $0\mathrm{.}40$ 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$$ suit, Weiss still expects $$10,000$ 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.$

Part $2$

$$a$)$ what is the Expected value for the Add Assembly Line option$$