Death and Piecewise Linear Functions

Although this may seem a little gruesome, it is not uncommon for businesses to give discounts for volume sales. In this case, a mortician charges less per pound for bodies weighing more than a certain amount.

The local mortician charges by the pound for embalming according to the following table:

piecewise_lin_death_01

Find a piecewise linear function that models the cost as a function of weight.

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Use a Blog to Help Teach Your Math Class (Part 5)

laptop_02In Part 3 of this series, I demonstrated how easy it is to upload an image file to WordPress. For a mathematics teacher like myself, most of these images files are images of equations or graphs. In this post I want to go into more detail on how I capture these images using a screen capture utility called Snagit produced by Techsmith. Although there are many screen capture apps out there, Snagit is my favorite even though it is not free.

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Use a Blog to Help Teach Your Math Class (Part 4)

theme_01

In the first post in this series, we briefly looked at what a theme is and what it does for your blog. Simply put, a theme in WordPress controls the overall look and how information is presented on a blog. The screenshot above shows several themes produced by WordPress. Each year, the organization produces a new theme. By picking a theme from this set, you can be guaranteed that it will be compatible with WordPress and any future upgrades to WordPress.

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How Do You Use Google Sheets To Do Row Operations For The Simplex Method?

In an earlier post, I showed how to set up a standard minimization problem from an application. In another post, I demonstrated how to find the corresponding dual maximization problem and to solve it with the Simplex Method. This algorithm is tedious and prone to arithmetic errors.

In the video below, the steps in the Simplex Methods are carried out in Google Sheets. The same steps can also be carried out in other spreadsheets such as Microsoft Excel.

Please note that there is a typo in the original matrix in the process. The cell in D2 should be a 1 instead of a zero to account for the slack variable in the first constraint.

How Do You Solve a Standard Minimization Problem?

In an earlier post, we wrote out a standard minimization problem from an application. Now we’ll solve that problem by finding the dual standard maximization problem and applying the Simplex Method.

This process is covered in Section 4.4 of the textbook. For complete details on the process, consult this section and the many examples contained in this section. I will assume that you have looked over this section and are familiar with carrying out row operations on a matrix.

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