SOLUTION: A company produces three products, x, y, and z. Each item of product x requires 20 units of steel, 2 units of plastic, and 1 unit of glass. Each item of product y requires 25 units

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A company produces three products, x, y, and z. Each item of product x requires 20 units of steel, 2 units of plastic, and 1 unit of glass. Each item of product y requires 25 units      Log On


   

Question 425996: A company produces three products, x, y, and z. Each item of product x requires 20 units of steel, 2 units of plastic, and 1 unit of glass. Each item of product y requires 25 units of steel, 5 units of plastic, and no units of glass. Each item of product z requires 150 units of steel, 10 units of plastic, and 0.5 units of glass. The available amounts of steel, plastic and glass are, respectively, 2550, 290, and 34. How many items of each type can the company produce and utilize all the available raw materials?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Set Up and solve the following system of equations:

20x + 25y + 150z = 2550

2x +   5y + 10z = 290   

x + .5z = 34

x = 30

y = 30 

z = 8



CHECKING our Answer***

 600 + 750 + 1200 = 2550

 60 + 150 + 80 = 290

 30 + 4 = 34