Finite Math > Linear Programming > Graphical Maximums

Bounded - Standard | Bounded Nonstandard

Instructions

Shown on this page are youtube videos using a digital pen on virtual paper assisted by a HP Prime calculator emulator. The content found here extends the content found in our eBook or print copy of HP Prime Guide Algebra Fundamentals.

Click on play and the full screen option in the Embedded youtube video or click on the direct link to go directly to the youtube site to play the video.

Embedded youtube video displays a dialog window when we hit pause. Do not hit the “X’ to close the dialog window, just press the play icon or space bar to resume play as it closes the dialog window and resumes play.

Remark: Onenote Ink math assistant requires a 365 subscription. There is the personal 365 subscription,  academic 365 subscription with Class Notebooks for administrators, teachers, and students plus organizational versions of 365 subscriptions that include Onenote Ink math assistant. The videos were made using the academic 365 subscription. You will need a 365 subscription to duplicate the Onenote Ink math assistant parts, however there are free versions of Onenote for all platforms that include Ink but not the Ink math assistant. There is an Online Onenote broswer version available with the Onenote Ink math assistant for some subscription packages.


Bounded - Standard

The video uses the corner points of a bounded region to solve maximum profit for a linear programming problem. We explore using the Math features of Onenote for windows 10 and then the HP Prime.

Embedded YouTube video file or direct link


HP Prime Onenote Bounded Standard Maximum or direct link

We used the word functions in the video. Mathematically speaking they are relations. If you have access to Microsoft Onenote Digital Assistant use it to further explore the math digital assistant. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to get the math inequalities symbols.


Bounded - Npnstandard

The video uses the corner points of a bounded region to solve maximum profit for a linear programming problem. We explore using the HP Prime. We attempted to use built-in operation simplex_reduce to check our work. It did meet its restrictions. Its answer could not be used even though it turned out to be correct.

We defined p twice. First to be profit, p(x,y), and then to be the vector p. The second use would negate it use to calculate additional values for p(x,y).

Embedded YouTube video file or direct link


HP Prime Onenote Bounded Nonstandard Maximum or direct link

We used word functions in the video mathematically speaking they are relations. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to get the math inequality symbols.

We transposed 2/5 as 5/2 in various video scenes. Calculator screen shots show it correctly as 2/5.


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