6. (40 points) This is a hypothetical 5-zone modeling region. We have the following trip table(OD matrix) from the 2020 model, as shown in Table 6-1. The following sub-questions are

independent from each other. a. Area wide, the total travel demand is expected to increase by 20% in next two years.Use the Uniform Growth Factor method to estimate an OD matrix for 2022. Please show your results in Table 6-2. b. There are uneven growth rates for trip productions in each TAZ. Table 6-3 shows the expected trip production for each TAZ in 2025. Use the Singly-Constrained Growth Factor method to estimate an OD matrix for 2025. Please show your results in Table 6-4. c. There are uneven growth rates for both trip productions and attractions in each TAZ. Table 6-5 shows the expected trip production and attraction for each TAZ in 2025. Use the Doubly-Constrained Growth Factor method (also called Fratar method) to estimate an OD matrix for 2025. Please show your results in Table 6-6. d. You are given the same expected trip production and attraction for each TAZ in 2025, as shown in Table 6-5. Use the Average Growth Factor method to estimate an OD matrix for 2025. Please show your results in Table 6-7. e. You are given the same expected trip production and attraction for each TAZ in 2025, as shown in Table 6-5. Use the Detroit method to estimate an OD matrix for 2025. Please show your results in Table 6-8.