Find the system of equations to model the problem. Do not solve is system
A paper company produces high-grade paper, medium grade and low grade. The number of tons of each side produced a ton of pulp depends on the source of the pulp. The following table shows three different sources and amount of each grade of paper that can be produced from a ton of pulp from each source.
Number of tons
|
|
High-grade
|
Medium grade
|
Low grade
|
|
Brazilian pulp
|
0.6
|
0.3
|
0.1
|
|
Domestica pulp
|
0.5
|
0.3
|
0.2
|
|
recycled pulp
|
0.3
|
0.4
|
0.3
|
The company has received an order for 11 tons of high-grade paper, 15 tons of medium grade paper and 14 tons of low-grade paper. How many tons of pulp each type should be used to comply exactly this order? Establishes a system of linear equations. Let x, y and z are equal to the number of tons of Brazilian pulp, domestic pulp and recycled pulp, respectively, which are needed to comply the order.