mat1302-practice-midterm3-solutions

mat1302-practice-midterm3-solutions - MATH 1302 - PRACTICE...

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Unformatted text preview: MATH 1302 - PRACTICE THIRD MIDTERM EXAM SOLUTIONS WINTER 2008 1. Suppose an economy consists of three sectors – manufacturing, agriculture and services – with unit consumptions as given in the following table. Purchased Inputs Consumed per Unit of Output From: Manufacturing Agriculture Services Manufacturing .20 .20 Agriculture .30 .10 .30 Services .10 .20 What production levels are needed to satisfy a final demand of 40 units from manufac- turing, 60 units from agriculture, and 80 units from services? Answer: We have C = . 2 . 2 . 3 . 1 . 3 . 1 . 2 , I- C = . 8- 2 .- . 3 . 9- . 3- . 1 . 8 , d = 40 60 80 . We row reduce £ I- C d / to get . 8- . 2 40- . 3 . 9- . 3 60- . 1 . 8 80 ∼ 1 0 0 82 . 8 0 1 0 131 . 0 0 1 110 . 3 . Therefore, to meet the given demand, manufacturing needs to produce 82.8 units, agriculture needs to produce 131.0 units and services needs to produce 110.3 units. 2. Suppose that z =- 1 + 4 i, w = 2- 2 i. Perform the following operations, writing your answers in the form a + bi where a,b ∈ R . a) | z | Solution: | z | = p (- 1) 2 + 4 2 = √ 17....
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This note was uploaded on 01/10/2010 for the course MAT mat1302 taught by Professor Mariankupczynski during the Fall '09 term at University of Ottawa.

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mat1302-practice-midterm3-solutions - MATH 1302 - PRACTICE...

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