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1. Suppose the weights (in grams) and lengths (in centimetres) of three groups of laboratory animals are given by matrix A, where column I gives the lengths and each row corresponds to one group. 12.5 250 A = 11.8 215 9.8 190 If the increase in both weight and length over the next 2 weeks is 20% for group 1, 7% for group II, and 0% for group II, then the increases in the measures during the 2 weeks can be found by computing GA, where 20% 0 0 G= 0 7% 0 0 0 0% a. What are the increases in respective weights and measures at the end of these 2 weeks? b. Find the matrix that gives the new weights and measures at the end of this period by computing (I+ G) A

1. Suppose the weights (in grams) and lengths (in centimetres) of three groups of laboratory animals are given by matrix A, where column I gives the lengths and each row corresponds to one group. 12.5 250 A = 11.8 215 9.8 190 If the increase in both weight and length over the next 2 weeks is 20% for group 1, 7% for group II, and 0% for group II, then the increases in the measures during the 2 weeks can be found by computing GA, where 20% 0 0 G= 0 7% 0 0 0 0% a. What are the increases in respective weights and measures at the end of these 2 weeks? b. Find the matrix that gives the new weights and measures at the end of this period by computing (I+ G) A

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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1. Suppose the weights (in grams) and lengths (in centimetres) of three groups of laboratory animals are given by matrix A, where column 1 gives the lengths and each row corresponds to one group. 12.5 250 A = 11.8 215 9.8 190 If the increase in both weight and length over the next 2 weeks is 20% for group I, 7% for group II, and 0% for group III, then the increases in the measures during the 2 weeks can be found by computing GA, where 20% G= 0 7% 0% a. What are the increases in respective weights and measures at the end of these 2 weeks? b. Find the matrix that gives the new weights and measures at the end of this period by computing (I + G) A 2. Find the solution with Gauss Jordan System. 1 1. 2| - 1 3 1| 7 1 -2 4| 3. Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in Rupiah for a unit of each of the products. a. If each truck can carry 8.000 cu ft and 12.400 lb and is insured for Rp. 526.000, how many units of each product can be carried? b. If the insured value increases by Rp. 64.000, find the new delivery scheme and explain how it is related to the inverse matrix used in (a). Product A Product B Product C Unit Volume (cu ft) 24 20 40 Weight (Ib) 40 30 60 Value (Rp) 1.500 1.800 2.000 4. Suppose an economy has two industries, agriculture and minerals. Suppose further that
Transcribed Image Text:1. Suppose the weights (in grams) and lengths (in centimetres) of three groups of laboratory animals are given by matrix A, where column 1 gives the lengths and each row corresponds to one group. 12.5 250 A = 11.8 215 9.8 190 If the increase in both weight and length over the next 2 weeks is 20% for group I, 7% for group II, and 0% for group III, then the increases in the measures during the 2 weeks can be found by computing GA, where 20% G= 0 7% 0% a. What are the increases in respective weights and measures at the end of these 2 weeks? b. Find the matrix that gives the new weights and measures at the end of this period by computing (I + G) A 2. Find the solution with Gauss Jordan System. 1 1. 2| - 1 3 1| 7 1 -2 4| 3. Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in Rupiah for a unit of each of the products. a. If each truck can carry 8.000 cu ft and 12.400 lb and is insured for Rp. 526.000, how many units of each product can be carried? b. If the insured value increases by Rp. 64.000, find the new delivery scheme and explain how it is related to the inverse matrix used in (a). Product A Product B Product C Unit Volume (cu ft) 24 20 40 Weight (Ib) 40 30 60 Value (Rp) 1.500 1.800 2.000 4. Suppose an economy has two industries, agriculture and minerals. Suppose further that
in Rupjah for a unit of each of the products. 3:07 O P a. If each truck can carry 8.000 cu ft and 12.400 lb and is insured for Rp. 526.000, O N ll ll 64% how many units of each product can be carried? Tugas 4.pdf b. If the insured value increases by Rp. 64.000, find the new delivery scheme and explain how it is related to the inverse matrix used in (a). Product A Product B Product C Unit Volume (cu ft) 24 20 40 Weight (Ib) 40 30 60 Value (Rp) 1.500 1.800 2,000 4. Suppose an economy has two industries, agriculture and minerals. Suppose further that the technology matrix for this economy is A. - 0,21 Minerals 0.3 0.1] Agriculture Lo.1 A = If surpluses of 60 agricultural units and 70 mineral units are desired, find the gross production for each industry. 2/2 II
Transcribed Image Text:in Rupjah for a unit of each of the products. 3:07 O P a. If each truck can carry 8.000 cu ft and 12.400 lb and is insured for Rp. 526.000, O N ll ll 64% how many units of each product can be carried? Tugas 4.pdf b. If the insured value increases by Rp. 64.000, find the new delivery scheme and explain how it is related to the inverse matrix used in (a). Product A Product B Product C Unit Volume (cu ft) 24 20 40 Weight (Ib) 40 30 60 Value (Rp) 1.500 1.800 2,000 4. Suppose an economy has two industries, agriculture and minerals. Suppose further that the technology matrix for this economy is A. - 0,21 Minerals 0.3 0.1] Agriculture Lo.1 A = If surpluses of 60 agricultural units and 70 mineral units are desired, find the gross production for each industry. 2/2 II
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