In formulating a coffee blending problem where there are three types of coffee b
ID: 2960052 • Letter: I
Question
In formulating a coffee blending problem where there are three types of coffee beans, the objective is to find a recipe to make 1 pound of blended coffee that satisfies a set of properties at the least cost. The decision variables are X1, X2, and, X3 , representing pounds (actually fractional pounds) of coffee beans used per pound of blended coffee. Suppose that it is required to produce 200 pounds of coffee using this formulation. The appropriate constraint/s, given the definition of the problem and decision variables, will beA) X1 + X2 + X3 = 200
B) 200X1 + 200X2 + 200X3 > 200
C) 200X1 + 200X2 + 200X3 < 200
D) X1 + X2 + X3 = 1.0 and multiply the answer by 200 to blend 200 pounds
Explanation / Answer
The appropriate constraint/s, given the definition of the problem and decision variables, will beX1 + X2 + X3 = 1.0 and multiply the answer by 200 to blend 200 pounds
Correct option: D) X1 + X2 + X3 = 1.0 and multiply the answer by 200 to blend 200 pounds