A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III, are available in the lake. Each fish of species A requires an average of 1.13 units of food I, 2.8 units of food II, and 1.79 units of food III each day. Species B fish require 2.5 units of food I, 0.96 unit of food II, and 0.6 unit of food III daily. Species C fish require 0.91, 1.61, and 2.13 units of food I, II, and III per day, respectively. If 500 units of food I, 884 units of food II, and 645 units of food III are available daily, how many of each species should be stocked? Write a linear system of equations. Let x represent the number of fish of species A, y represent the number of fish of species B, and z represent the number of fish of species C. Choose the correct answer below. OA. 1.13x+0.96y+0.91z=500 2.8x+2.5y + 1.61z=884 1.79x+0.6y +2.13z=645 O C. 1.13x+2.5y+0.91z=645 2.8x+0.96y + 1.612-884 1.79x+0.6y +2.13z-500 There should be about fish of species A, fish of species B, and (Round to the nearest whole number as needed.) fish of species C. OB. 1.13x+2.5y +0.91z=500 2.8x+0.96y + 1.61z=884 1.79x+0.6y+2.13z=645 O D. x+y+z=645 1.13x+2.5y+0.91z=500 2.8x+0.96y + 1.612-884

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III, are available in the lake. Each fish of species A requires an average of 1.13 units of food I, 2.8 units of
food II, and 1.79 units of food III each day. Species B fish require 2.5 units of food I, 0.96 unit of food II, and 0.6 unit of food III daily. Species C fish require 0.91, 1.61, and 2.13 units of food I, II, and
III per day, respectively. If 500 units of food I, 884 units of food II, and 645 units of food III are available daily, how many of each species should be stocked?
Write a linear system of equations. Let x represent the number of fish of species A, y represent the number of fish of species B, and z represent the number of fish of species C. Choose the correct
answer below.
O A. 1.13x+0.96y +0.91z = 500
2.8x + 2.5y + 1.61z = 884
1.79x + 0.6y + 2.13z = 645
O C. 1.13x + 2.5y +0.91z=645
2.8x+0.96y + 1.61z = 884
1.79x + 0.6y +2.13z = 500
There should be about fish of species A, fish of species B, and
(Round to the nearest whole number as needed.)
fish of species C.
B. 1.13x +2.5y + 0.91z = 500
2.8x +0.96y + 1.61z=884
1.79x + 0.6y + 2.13z = 645
O D. x+y+z= 645
1.13x + 2.5y +0.91z = 500
2.8x +0.96y + 1.61z = 884
Transcribed Image Text:A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III, are available in the lake. Each fish of species A requires an average of 1.13 units of food I, 2.8 units of food II, and 1.79 units of food III each day. Species B fish require 2.5 units of food I, 0.96 unit of food II, and 0.6 unit of food III daily. Species C fish require 0.91, 1.61, and 2.13 units of food I, II, and III per day, respectively. If 500 units of food I, 884 units of food II, and 645 units of food III are available daily, how many of each species should be stocked? Write a linear system of equations. Let x represent the number of fish of species A, y represent the number of fish of species B, and z represent the number of fish of species C. Choose the correct answer below. O A. 1.13x+0.96y +0.91z = 500 2.8x + 2.5y + 1.61z = 884 1.79x + 0.6y + 2.13z = 645 O C. 1.13x + 2.5y +0.91z=645 2.8x+0.96y + 1.61z = 884 1.79x + 0.6y +2.13z = 500 There should be about fish of species A, fish of species B, and (Round to the nearest whole number as needed.) fish of species C. B. 1.13x +2.5y + 0.91z = 500 2.8x +0.96y + 1.61z=884 1.79x + 0.6y + 2.13z = 645 O D. x+y+z= 645 1.13x + 2.5y +0.91z = 500 2.8x +0.96y + 1.61z = 884
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