Chapter 2.1, Problem 14E

Let U be the 3 × 2 cost matrix described in Example 6 of 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].