QUESTION $6$ The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production. $($Due to budgeting constraints, only one new picture can be undertaken at this time.$)$ She feels that script $1$ has a $70$ percent chance of earning about $$10,000,000$ over the long run, but a $30$ percent chance of losing $$2,000,000.$ On the other hand, she feels that script $2$ has a $60$ percent chance of earning $$12,000,000,$ but a $40$ percent chance of losing $$3,000,000.$ What is the expected value of selecting script $211?$ $$8,000,000$ $$6,400,000$ $$1,600,000$ $$7,600,000$ $$6,000,000$