5. A firm orders 12, 30 and 25 items of goods G1, G2 and G3. The cost of each item of G1, G2 and G3 is $8, $30 and $15, respectively. (a) Write down suitable price and quantity vectors, and use matrix multiplication to work out the total cost of the order. (b) Write down the new price vector when the cost of G1 rises by 20%, the cost of G2 falls by 10% and the cost of G3 is unaltered. Use matrix multiplication to work out the new cost of the order and hence find the overall percentage change in total cost.
5. A firm orders 12, 30 and 25 items of goods G1, G2 and G3. The cost of each item of G1, G2 and G3 is $8, $30 and $15, respectively. (a) Write down suitable price and quantity vectors, and use matrix multiplication to work out the total cost of the order. (b) Write down the new price vector when the cost of G1 rises by 20%, the cost of G2 falls by 10% and the cost of G3 is unaltered. Use matrix multiplication to work out the new cost of the order and hence find the overall percentage change in total cost.
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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![5. A firm orders 12, 30 and 25 items of goods G1, G2 and G3. The cost of each item of
G1, G2 and G3 is $8, $30 and $15, respectively.
(a) Write down suitable price and quantity vectors, and use matrix multiplication to
work out the total cost of the order.
(b) Write down the new price vector when the cost of G1 rises by 20%, the cost of G2
falls by 10% and the cost of G3 is unaltered. Use matrix multiplication to work out
the new cost of the order and hence find the overall percentage change in total cost.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77c3bf4a-b255-4c5e-8ba1-74c07911a15b%2F52300580-ffd8-47a4-a448-4524f6c42935%2Frz1cb1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. A firm orders 12, 30 and 25 items of goods G1, G2 and G3. The cost of each item of
G1, G2 and G3 is $8, $30 and $15, respectively.
(a) Write down suitable price and quantity vectors, and use matrix multiplication to
work out the total cost of the order.
(b) Write down the new price vector when the cost of G1 rises by 20%, the cost of G2
falls by 10% and the cost of G3 is unaltered. Use matrix multiplication to work out
the new cost of the order and hence find the overall percentage change in total cost.
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