THE TEA BLENDING PROBLEM EASYT manufactures tea by blending two kinds of tea leaves Type 1 and Type 2. The cost per pound and the available pounds of each type of tea leaf are stated below. Leaf type Cost per pound Available pounds Type 1 $2 700 Type 2 $5 550 Consumer tests were used to provide ratings on a scale of 1-100 with higher ratings indicating higher quality. Product quality ratings require at least a minimum rating of 80 for TASTE and a minimum rating of 75 for AROMA. The individual taste and aroma ratings for the two types of tea are as below. Leaf type TASTE RATING AROMA RATING Type 1 75 70 Type 2 90 80 Assume that aroma and taste attributes will be a weighted average of the attributes of the tea leaves (types) used in a blend. Assume the following: a) A 1000 pounds of blended tea is to be produced using the minimum quality for taste and aroma. b) X1 = pounds of type 1 tea used in the blend c) X2 = pounds of type 2 tea used in the blend With the values of X1 at 500 and X2 at 500, which of the following statements is true? The total cost of Type 2 leaves (corresponding to variable X2) is $10000 at optimality. The optimal solution has X1 = 700 The optimal solution value cannot be inferred from the provided output The total cost of Type 1 leaves (corresponding to variable X1) is $1000 at optimality