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

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

A paper company produces high grade, medium grade and low grade paper. The number of tons of each grade produced from a ton of pulp depends on the source of the pulp. The following table shows three different sources and the amount of each grade of paper that can be produced 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 grade paper, 15 tons of medium grade paper, and 14 tons of low grade paper. How many tons of each type of pulp must be used to accurately fulfill this order? Establish a system of linear equations. Let x, y, and z equal the number of tons of Brazilian pulp, domestic pulp, and recycled pulp, respectively, needed to fulfill the order.

Solutions

Expert Solution

Colby Messinger answered 11 months ago

Next > < Previous

Related Solutions

Solve the problem 43) Find equations for the horizontal and vertical tangent lines to the curve...

Solve the problem 43) Find equations for the horizontal and vertical tangent lines to the curve r = 1 - sinθ, 0 ≤ θ < 2π. Please check if your answer is correct with the following: Horizontal: y = 1/4 at (1/2, π/6), y = 1/4 at (1/2, 5π/6), y = -2 at (2, 3π/2) Vertical: x = 0 at (0, π/2), x = -3sqrt(3)/4 at (3/2, 7π/6), x = 3sqrt(3)/4 at (3/2, 11π/6)

Convert the follow system of equations to standard form and solve using Simplex method to find...

Convert the follow system of equations to standard form and solve using Simplex method to find optimal solution Maximize 10.75x + 5.3y constraints 0.25x + 0.6y < = 1000 0.50x + 0.1y <= 1000 0.25x + 0.3y <= 1000 x>=250, y>=250

Solve the given system of differential equations. ??/?? = ? + 4? ??/?? = ? +...

Solve the given system of differential equations. ??/?? = ? + 4? ??/?? = ? + y

[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,

[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem, u (t) = 2u (t) + 2v (t) + 4 V (t) = u (t) + 3v (t) – 1 u (0) = 2 v (0) = -1 [ find, u (t) and v (t) ].

Write a system of equations that represents the situation. Then, solve the system using the inverse...

Write a system of equations that represents the situation. Then, solve the system using the inverse of a matrix. Students were asked to bring their favorite fruit to class. 93% of the fruits consisted of bananas, apples, and oranges. If oranges were twice as popular as bananas, and apples were 19 percentage points less popular than bananas, what are the percentages of each individual fruit?

Solve the following system. If the system's equations are dependent or if there is no solution,...

Solve the following system. If the system's equations are dependent or if there is no solution, state this. 3x - 4y -z = 9 2x + 2y + z = 0 5x - 2y + 2z = -1 The solution is.... PLEASE MAKE SURE THIS IS CORRECT. I KEEP PAYING FOR THE WRONG ANSWER!

how to solve a system of 4 equations with 4 unknowns?

Solve the following system. If the system's equations are dependent or if there is no solution,...

Solve the following system. If the system's equations are dependent or if there is no solution, state this. 3x - 4y - z = 18 4x + 2y + z = 16 7x - 2y + 3z = 19

SET UP BUT DO NOT SOLVE the following system of linear equations: A company sells three...

SET UP BUT DO NOT SOLVE the following system of linear equations: A company sells three sizes of fruit trays. The small size contains 200 gr of watermelons and 100 gr of grapes. The medium size contains 400 gr of watermelons, 100 gr of pineapples, and 300 gr of grapes. The large size contains 600 gr of watermelons, 200 gr of pineapples, and 400 gr of grapes. Suppose that the company receives an order for 28 kg of watermelons, 6...

I don't know how to solve this accounting problem. The problem is about Variance Analyses. Problem:...

I don't know how to solve this accounting problem. The problem is about Variance Analyses. Problem: Materials, Labor and Factory Overhead.(CPA, adapted) The Palmtown Furniture Company uses a standard cost system in accounting for its production costs. The standard cost of a unit of furniture follows: Lumber, 100 feet @$150 per 1,000 feet $15.00 Direct labor, 4 hours @ 2.50 per hour 10.00 Factory overhead: Fixed (30% of direct labor) $3.00 Variable (60% of...

Subjects