Ace Novelty manufactures Giant Pandas, Saint Bernards, and Big Birds Each Giant Panda requires 3 yd 2 of plush, 3 0 ft 3 of stuffing, and 5 pieces of trim each Saint Bernard requires 4 yd 2 of plush, 3 5 ft 3 of stuffing, and 8 pieces of trim and each Big Bird requires 5 yd 2 of plush, 2 5 ft 3 of stuffing, and 1 5 pieces of trim If 9 , 4 0 0 yd 2 of plush, 6 5 , 0 0 0 ft 3 of stuffing, and 2 3 , 4 0 0 pieces of trim are available, how many of each of the stuffed animals should the company manufacture if all the material is to be used Formulate a system of equations that can be used to find the solution Let x , y , and z denote the number of Giant Pandas, Saint Bernards, and Big Birds, respectively ( Do not perform any row operations ) 3 x 4 y 5 z 9 , 4 0 0 3 0 x 3 5 y 2 5 z 6 5 , 0 0 0 5 x 8 y 1 5 z 2 3 , 4 0 0 Write the augmented matrix corresponding to the system ( Do not reorder the equations Let the first column represent x , the second column represent y , and the third column represent z ) 9 , 4 0 0 6 5 , 0 0 0 2 3 , 4 0 0 Using the Gauss Jordan elimination method, perform all needed operations required to write the matrix in row reduced form and state the final result 1 0 0 1 State the solution ( The system has infinitely many solutions Express your answer in terms of the parameter t Use s if a second parameter is needed ) ( x , y , z ) 4 6 0 0 5 t , 5 8 0 0 5 t , t Give one specific solution ( Do not use a parameter ) ( x , y , z ) 1 , 2 0 0 , 4 , 0 0 0 , 0

Question

Ace Novelty manufactures Giant Pandas, Saint Bernards, and Big Birds  Each Giant Panda requires 3 yd 2 of plush, 3 0 ft 3 of stuffing, and 5 pieces of trim  each Saint Bernard requires 4 yd 2 of plush, 3 5 ft 3 of stuffing, and 8 pieces of trim  and each Big Bird requires 5 yd 2 of plush, 2 5 ft 3 of stuffing, and 1 5 pieces of trim  If 9 , 4 0 0 yd 2 of plush, 6 5 , 0 0 0 ft 3 of stuffing, and 2 3 , 4 0 0 pieces of trim are available, how many of each of the stuffed animals should the company manufacture if all the material is to be used  Formulate a system of equations that can be used to find the solution  Let x , y , and z denote the number of Giant Pandas, Saint Bernards, and Big Birds, respectively  ( Do not perform any row operations  ) 3 x   4 y   5 z   9 , 4 0 0 3 0 x   3 5 y   2 5 z   6 5 , 0 0 0 5 x   8 y   1 5 z   2 3 , 4 0 0 Write the augmented matrix corresponding to the system  ( Do not reorder the equations  Let the first column represent x , the second column represent y , and the third column represent z   ) 9 , 4 0 0 6 5 , 0 0 0 2 3 , 4 0 0 Using the Gauss   Jordan elimination method, perform all needed operations required to write the matrix in row   reduced form and state the final result  1 0 0 1 State the solution  ( The system has infinitely many solutions  Express your answer in terms of the parameter t   Use s if a second parameter is needed  ) ( x , y , z )   4 6 0 0   5 t , 5 8 0 0 5 t , t Give one specific solution  ( Do not use a parameter  ) ( x , y , z )   1 , 2 0 0 , 4 , 0 0 0 , 0

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Ace Novelty manufactures Giant Pandas, Saint Bernards, and Big Birds. Each Giant Panda requires 3 yd 2 of plush, 3 0 ft 3 of stuffing,

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