Questions from Management Science

Q: A triangle has a 5-inch side and a 12-

A triangle has a 5-inch side and a 12-inch side. To maximize the area of the triangle what should the third side be? Can you generalize this result?

Q: Your company is about to market a new golf club. You

Your company is about to market a new golf club. You have convened a focus group of 100 golfers and asked them to compare your club to the clubs produced by your competitors. You have found, for examp...

Q: In the exchange rate model, we found that the optimal unit

In the exchange rate model, we found that the optimal unit revenue, when converted to dollars, is $85.71. Now change the problem so that the company is selling in Japan, not the United Kingdom. Assume...

Q: For the product mix examples, discuss where you think the assumptions

For the product mix examples, discuss where you think the assumptions of a linear model are most likely to break down. How might an NLP model look in this situation?

Q: In some ordering problems, like the one for Sam’s Bookstore,

In some ordering problems, like the one for Sam’s Bookstore, whenever demand exceeds existing inventory, the excess demand is not lost but is filled by expedited orders—at a premium cost to the compan...

Q: In a typical product mix model, where a company must decide

In a typical product mix model, where a company must decide how much of each product to produce to maximize profit, there are sometimes customer demands for the products. We used upper-bound constrain...

Q: For the oil blending example, discuss where you think the assumptions

For the oil blending example, discuss where you think the assumptions of a linear model are most likely to break down. How might an NLP model look in this situation?

Q: For the aggregate planning example, is it likely that the cost

For the aggregate planning example, is it likely that the cost per worker of changing the size of the workforce during a month would be constant (as we assumed)? How could an NLP model account for a s...

Q: Consider the sports ratings model. If you were going to give

Consider the sports ratings model. If you were going to give more recent games more weight, how might you determine whether the weight given to a game from k weeks ago should be, say, (0.95)k or (0.9)...

Q: Consider the sports ratings model. If you were going to use

Consider the sports ratings model. If you were going to use the approach used there to forecast future sports contests, what problems might you encounter early in the season? How might you resolve the...