# Joe is analyzing three alternatives for a new rocket: the HW, the SC, and the PK. The three most important attributes are the speed, number of payloads, and range.

A) Joe is analyzing three alternatives for a new rocket: the HW, the SC, and the PK. The three most important attributes are the speed, number of payloads, and range. The decision maker prefers more of each attribute. The raw data in Table 1 are available. Joe plans to use the AHP to analyze the alternatives in Table 1. After consulting the stakeholders, he determines that, for the payloads attribute, four payloads is worth twice as much as three payloads, four payloads is worth four times as much as two payloads, and three payloads is worth twice as much as two payloads. Create a pairwise comparison matrix for the payloads attribute and find a set of scores that correspond to these pairwise comparisons. (Scale the scores so that the largest score equals 1.) TABLE 1: The Attributes of Three Rocket Alternatives

TABLE 1: The Attributes of Three Rocket Alternatives B) After consulting the stakeholders, Joe determines that a rocket would be worthless if its speed were less than 20 kph, it carried only one payload, and its range were only 5 km. Specify the attribute values of the three hypothetical alternatives that should be compared to determine the weights for the attributes. Table 1 Rocket Speed (kph) Number of Payloads Range (km) HW 75 3 14 SC 40 4 55 PK 55 2 36

B) After consulting the stakeholders, Joe determines that a rocket would be worthless if its speed were less than 20 kph, it carried only one payload, and its range were only 5 km. Specify the attribute values of the three hypothetical alternatives that should be compared to determine the weights for the attributes.