|
Question 800205: Hello! I need assistance with the following problem.
Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.
Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 bushels of corn, and 3 bushels of rye, for $31.00. To another customer he sold 2 bushels of wheat, 3 bushels of corn, and 5 bushels of rye for $27.60. To a third customer he sold 3 bushels of wheat, 5 bushels of corn, and 2 bushels of rye for $32.70. Write down the system of equations and the augmented matrix needed to solve this problem. Let x represent the price per bushel for wheat, y the price per bushel for corn, and z the price per bushel of rye.
Thank you so much! Have a wonderful day! :-)
Christina
Found 2 solutions by stanbon, rothauserc:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 bushels of corn, and 3 bushels of rye, for $31.00.
Value Eq:: 5x + 2y + 3z = 31
-------
To another customer he sold 2 bushels of wheat, 3 bushels of corn, and 5 bushels of rye for $27.60.
Value Eq: 2x + 3y + 5z = 27.6
-------
To a third customer he sold 3 bushels of wheat, 5 bushels of corn, and 2 bushels of rye for $32.70.
Value Eq: 3x + 5y + 2z = 32.7
=====================================
Write down the system of equations and the augmented matrix needed to solve this problem.
----
Note:
I get x = $3.61
y = $3.61
z = $1.91
Answer by rothauserc(4718)  (Show Source):
|
|
|
| |
