$($Baker and Powell, $2013)$ The Diaz Coffee Company blends three types of coffee beans

$($Brazilian$,$ Colombian, and Peruvian$)$ into ground coffee to be sold at retail. Suppose that

each kind of bean has a distinctive aroma and strength, and the company has a chief taster

who can rate these features on a scale of $1$ to $100.$ The features of the beans are tabulated

as follows