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it is a mathematical economics exam.
Typology: Exams
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Reference Number: Country: Name:
(Please show all your work here and write your answers in the designated space.) [Part 1] (1 point for each question) Answer the following questions:
log 916 + log 918 โ log 9 4 + log 9108
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Reference Number: Country: Name:
(Please show all your work here and write your answers in the designated space.) [Part 3] (3 point for each question) Answer the following questions:
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๏ฟฝ (^2) ๐ฅ๐ฅ
5 1
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๐๐ = ๏ฟฝ^21 23 ๏ฟฝ , ๐๐ = ๏ฟฝ^12 01 ๏ฟฝ.
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Reference Number: Country: Name:
(Please show all your work here and write your answers in the designated space.) [Part 4] (5 point for each question) Answer the following questions:
โ
๐ก๐ก=
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(b) [3 points] Evaluate the following sum. ๏ฟฝ ๐ก๐ก(0.9)๐ก๐ก
โ
๐ก๐ก=
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(d) [3 points] Find the values of x and y that solve the following problem. maximize 3ln(๐ฅ๐ฅ โ 1) + ๐ฆ๐ฆ subject to ๐ฅ๐ฅ + ๐ฆ๐ฆ = 3, ๐ฅ๐ฅ โฅ 0, ๐ฆ๐ฆ โฅ 0
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