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Find the system of equations to model the problem. Don't solve the system. A paper company produces...

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Advance Math

Find the system of equations to model the problem. Don't solvethe system.

A paper company produces high grade, medium grade and low gradepaper. The number of tons of each grade produced from a ton of pulpdepends on the source of the pulp. The following table shows threedifferent sources and the amount of each grade of paper that can beproduced from one tonne of pulp from each source.

(Number of tons)

High grade Medium grade Low grade
Pulp from Brazil 0.6 0.3 0.1
Domestic 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 gradepaper, 15 tons of medium grade paper, and 14 tons of low gradepaper. How many tons of each type of pulp must be used toaccurately fulfill this order? Establish a system of linearequations. Let x, y, and z equal the number of tons of Brazilianpulp, domestic pulp, and recycled pulp, respectively, needed tofulfill the order.

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