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Get Full Access to Linear Algebra And Its Applications - 4 Edition - Chapter 2.1 - Problem 14e
Get Full Access to Linear Algebra And Its Applications - 4 Edition - Chapter 2.1 - Problem 14e

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# Solved: Let U be the 3 × 2 cost matrix described in

ISBN: 9780321385178 62

## Solution for problem 14E Chapter 2.1

Linear Algebra and Its Applications | 4th Edition

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Problem 14E

Problem 14E

Let U be the 3 × 2 cost matrix described in Example 6 in Section 1.8. The first column of U lists the costs per dollar of output for manufacturing product B, and the second column lists the costs per dollar of output for product C. (The costs are categorized as materials, labor, and overhead.) Let q1 be a vector in ℝ2 that lists the output (measured in dollars) of products B and C manufactured during the first quarter of the year, and let q2, q3 and q4 be the analogous vectors that list the amounts of products B and C manufactured in the second, third, and fourth quarters, respectively. Give an economic description of the data in the matrix UQ, where Q = [q1 q2  q3  q4]

Example 6: A company manufactures two products, B and C. Using data from Example 7 in Section 1.3, we construct a “unit cost” matrix, U = [b c] , whose columns describe the “costs per dollar of output” for the products:

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