Refer to the optimization problem below.     Below are some key information from the answer report and sensitivity report for the optimal solution.     If you want to know how much of a resource went unused in the optimal solution, which value should you refer to?

Probabilistic Reasoning Suppose you have a standard deck of 52 cards, and suppose that it is well-shuffled.  Also suppose that you are drawing cards without replacement (i.e., when you draw a card, you do not put it back into the deck before drawing the next one).  (A standard deck of cards is composed of four suits—two black (spades and clubs) and two red (hearts and diamonds)—each containing one each of the following: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.)   What is the probability that you draw a red card or a 3 on your first draw? 

Fill in the Blanks   A chance setup is __________________ if and only if the relative frequency in the long run of each outcome is equal to that of any other.

Sediment eroded from the Appalachian Mountains ended up in:

From oldest to youngest, the periods of the Cenozoic are:

Animals of the Pleistocene tended to be ____ than present day animals.

Placental and marsupial mammals differ from monotremes in that ____.

Astronomers use many different methods to determine distances to objects in our cosmos.  Put the objects in order from method used for the farthest objects (1) to closest (4). 

Evaluating Entailment Statements Say whether the following entailment statement is true or false.  If the statement is false, then come up with a counter example to it that demonstrates that it is false.   A person works hard –> he or she retires with a lot of money.

During periods of glaciation, sea level rises.