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5 2 3 3 1 2 2 -le 1: Parts required for various compon. matrix equation for the costs of the con * the parts.

5 2 3 3 1 2 2 -le 1: Parts required for various compon. matrix equation for the costs of the con * the parts.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. A subcontractor manufactures components X, Y and Z which are made from parts A, B, C and D according to Table 1. Each part A, B, C and D costs a, b, c and d respectively. part B component A C X 5 Y 3 2. 1 4 Table 1: Parts required for various components (a) Construct a matrix equation for the costs of the components in terms of the costs of the parts. (b) The main factory makes two products, P, and P2, by assembling components. Pi involves 3X, 1Y and 4Z; P2 requires 4X, 2Y and 2Z. Construct a matrix equation for the costs of the products P¡ and P2. If A, B, C and D cost £0.25, £1, £2.50 and £1.20 respectively, what is the cost associated with P1? (c) (d) By how much will its cost decrease if P2 requires only 3X instead of 4X?
Transcribed Image Text:3. A subcontractor manufactures components X, Y and Z which are made from parts A, B, C and D according to Table 1. Each part A, B, C and D costs a, b, c and d respectively. part B component A C X 5 Y 3 2. 1 4 Table 1: Parts required for various components (a) Construct a matrix equation for the costs of the components in terms of the costs of the parts. (b) The main factory makes two products, P, and P2, by assembling components. Pi involves 3X, 1Y and 4Z; P2 requires 4X, 2Y and 2Z. Construct a matrix equation for the costs of the products P¡ and P2. If A, B, C and D cost £0.25, £1, £2.50 and £1.20 respectively, what is the cost associated with P1? (c) (d) By how much will its cost decrease if P2 requires only 3X instead of 4X?
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