# Linear programming (LP) problem

Not what you're looking for?

A fertiliser company has available 80 tonnes of nitrate and 50 tonnes of phosphate to use during the coming week to produce three different types of lawn fertilisers. The mixture ratios and profit are given in the table below . The manager of the company wants to maximise profit from the raw materials currently available and decides that the technique of linear programming should be in the decision making. Define appropriate vectors and matrices to formulate the LP problem as a set of matrix equations .(Do not solve the problem)

Fertiliser Nitrate

(T/1000 bags) Phosphate

(T/1000 bags) Profit

$/1000 bags

Regular Lawn 4 2 1500

Super Lawn 4 3 2500

Garden Spread 2 2 2000

##### Purchase this Solution

##### Solution Summary

Formulates a linear programming (LP) problem using matrices and vectors.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.