Ash decides to allocate $4 million to fund the exhibit. Given the pieces available and the specific requirements from Ash and Celeste, formulate and solve a BIP model to maximize the number of pieces displayed in the exhibit without exceeding the budget. How many pieces are displayed?

John is a 45-year-old manager who enjoys playing basketball in his spare time with his teenage sons and their friends. at work he finds that he is better able to solve problems that come up because of his many years of experience, but while on the court, he finds he is not as good keeping track of the ball while worrying about the other players. john's experience is:

Bakery has bought 250 pounds of muffin dough. they want to make waffles or muffins in half-dozen packs out of it. half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. it take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. how many of each should they make to maximize profit, if they have just 20 hours to do everything?

Abank provides its customers mobile applications that significantly simplify traditional banking activities. for example, a customer can use a smartphone to take a picture of a check and electronically deposit into an account. this unique service demonstrates the bank’s desire to practice which one of porter’s strategies?