The Head of Operations for a Movie Studio Wants to Determine

question 129

Multiple Choice

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. If this movie is successful, then a sequel could also be produced, with an 80 percent chance of earning $5,000,000, but a 20 percent chance of losing $1,000,000. 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. If successful, its sequel would have a 50 percent chance of earning $8,000,000, but a 50 percent chance of losing $4,000,000. Of course, in either case, if the original movie were a flop, then no sequel would be produced.
What is the expected value for the optimum decision alternative?

• A)$15,000,000
• B)$9,060,000
• C)$8,400,000
• D)$7,200,000
• E)$6,000,000

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Definitions:

Interest Rate

The ratio of interest charged on a loan to the borrower, usually represented as a yearly percentage of the remaining loan amount.

Compound Interest

Calculating interest that includes both the original principal amount and all previously accumulated interest on a loan or deposit.

Simple Interest

The method of calculating interest charges based on the principal amount only, not compounding on accumulated interest.

Deposit

A sum of money placed into a bank account or given as security for a contractual obligation.