Purchase Solution

Linear Programming Model for Lawns Unlimited

Not what you're looking for?

Ask Custom Question

Lawns Unlimited is a lawn care and maintenace company. One of its services is to seed new lawns as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes it calls Home 1, Home 2, and Commerical 3. It uses three kinds of grass seed tall fescue, mustang fescue, and bluegrass. The requirements for each grass mix are as follows:

Mix
Home 1 No more than 50% tall fescue
At least 20% mustang fescue
Home 2 At least 30% bluegrass
At least 30% mustang fescue
No more than 20% tall fescue
Commerical 3 At least 50% but no more than 70% tall fescue
At least 10% bluegrass

The company believes it needs to have at least 1,200 pounds of Home 1 mix, 900 pounds of Home 2 mix, and 2,400 pounds of Commerical 3 seed mix on hand. A pound of tall fescue costs the company $1,70, a pound of mustang fescue costs $2.80, and a pound of bluegrass costs $3.25. The company wants to know how many pounds of each type of grass seed to purchase to minimize cost.

Formulate a linear programming model for this problem.
Solve this model by using the computer.

Purchase this Solution

Solution Summary

Formulate a linear programming model for this problem.

Solution provided by:
Education
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
Recent Feedback
  • "Your explanation to the answers were very helpful."
  • "What does 1 and 0 means in the repair column?"
  • "Went through all of the formulas, excellent work! This really helped me!"
  • "try others as well please"
  • "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."
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.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

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

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.