Moonbucks roasts 2 types of coffee: Guatemala Gold and Sumatra Silver. Each month, the demand for each coffee type is uncertain. For Guatemala Gold, the mean demand is 20000 pounds and the standard deviation is 5000 pounds. For Sumatra Silver, the mean demand is 10000 pounds and the standard deviation is 5000 pounds. The demand for Guatemala Gold and Sumatra Silver is negatively correlated with a correlation of -0.4, since some customers tend to buy whichever coffee is on sale that month. It takes time to roast each type of coffee, and both coffees are roasted on the Clover Roasting Machine. The Clover Machine can process 125 pounds of Guatemala Gold per hour, but only 50 pounds of Sumatra Silver per hour. Although the Clover Machine can only roast one of the two coffees at any given moment, it is simple to switch between roasting Guatemala Gold and Sumatra Silver, so there is no setup time required in addition to the roasting times mentioned above.   3.iWhat is the covariance of the demand for Guatemala Gold and the demand for Sumatra Silver? a) 0 b) -10000000 c) -170000 d) -0.4 e) 0.4 f) 170000 g) 10000000 h) Other _____

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Moonbucks roasts 2 types of coffee: Guatemala Gold and Sumatra Silver. Each month, the demand for each coffee type is uncertain. For Guatemala Gold, the mean demand is 20000 pounds and the standard deviation is 5000 pounds. For Sumatra Silver, the mean demand is 10000 pounds and the standard deviation is 5000 pounds. The demand for Guatemala Gold and Sumatra Silver is negatively correlated with a correlation of -0.4, since some customers tend to buy whichever coffee is on sale that month. It takes time to roast each type of coffee, and both coffees are roasted on the Clover Roasting Machine. The Clover Machine can process 125 pounds of Guatemala Gold per hour, but only 50 pounds of Sumatra Silver per hour. Although the Clover Machine can only roast one of the two coffees at any given moment, it is simple to switch between roasting Guatemala Gold and Sumatra Silver, so there is no setup time required in addition to the roasting times mentioned above.

 

3.i

What is the covariance of the demand for Guatemala Gold and the demand for Sumatra Silver?

a) 0

b) -10000000

c) -170000

d) -0.4

e) 0.4

f) 170000

g) 10000000

h) Other _____

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