8 The Pine Valley Board of Education is trying to determine its multiattribute utility function with respect to the following attributes:

Attribute 1 Average score of students on an English achievement test Attribute 2 Average score of students on a mathematics achievement test

The board believes that both attributes range between 70%
and 90% correct answers. The board is indifferent between

For any level x₂ of attribute 2, the board is also indifferent between

For any level x₁ of attribute 1, the board is indifferent between

The board is also indifferent between

Finally, the board is indifferent between

The board must decide which of two instructional techniques should be utilized in the Pine Valley schools. Technique 1 is equivalent to the following lottery:

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TABLE 18 Size of Take Robbery Chance of Success (in millions of dollars) 123 .60 7 2 .80 3 .70 65