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This precalculus video tutorial provides a basic introduction into linear programming.  It explains how to write the objective function and constraints of linear programming word problems.  It discusses how to find all of the corner points including the point of intersection where you have to solve the system of linear inequalities.  It discusses which region to shade and how to determine the maximum profit or sales produced by a company or business and how to determine the number of items that should be produced to maximize such profit or revenue.  This video contains plenty of examples and practice problems on linear programming.

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Linear Programming

This precalculus video tutorial provides a basic introduction into linear programming. It explains how to write the objective function and constraints of linear programming word problems. It discusses how to find all of the corner points including the point of intersection where you have to solve the system of linear inequalities. It discusses which region to shade and how to determine the maximum profit or sales produced by a company or business and how to determine the number of items that should be produced to maximize such profit or revenue. This video contains plenty of examples and practice problems on linear programming. How To Find The Unit Vector: https://www.youtube.com/watch?v=f5DHYCKyVRo Vectors - Precalculus: https://www.youtube.com/watch?v=iXdMpXMuEGI The Dot Product of Two Vectors: https://www.youtube.com/watch?v=VzX8KJKFhlM The Cross Product of Two Vectors: https://www.youtube.com/watch?v=pWbOisq1MJU _____________________________________________________________________________________________ Solving Systems of Equations: https://www.youtube.com/watch?v=oKqtgz2eo-Y System of Equations - 3 Variables: https://www.youtube.com/watch?v=0JQeo0yC9OQ Systems of Non-Linear Equations: https://www.youtube.com/watch?v=JPdLEaxlnZQ Graphing Systems of Linear Inequalities: https://www.youtube.com/watch?v=FWbcKade3rw Partial Fraction Decomposition: https://www.youtube.com/watch?v=QKkdYW77xNI Linear Programming: https://www.youtube.com/watch?v=Bzzqx1F23a8 ______________________________________________________________________________________________ Introduction to Matrices: https://www.youtube.com/watch?v=yRwQ7A6jVLk Adding and Subtracting Matrices: https://www.youtube.com/watch?v=QXUbFzEd3Ww Scalar Multiplication of Matrices: https://www.youtube.com/watch?v=iJERwUVuwtY Solving Matrix Equations: https://www.youtube.com/watch?v=UHhvcj0doaA Multiplying Matrices: https://www.youtube.com/watch?v=vzt9c7iWPxs Gaussian Elimination & Row Echelon Form: https://www.youtube.com/watch?v=eDb6iugi6Uk Gauss Jordan Elimination: https://www.youtube.com/watch?v=eYSASx8_nyg Gaussian Elimination With 4 Variables: https://www.youtube.com/watch?v=4VAXv6yRULU Inverse of a 2x2 Matrix: https://www.youtube.com/watch?v=aiBgjz5xbyg Inverse of a 3x3 Matrix: https://www.youtube.com/watch?v=Fg7_mv3izR0 Determinant of 2x2 and 3x3 Matrix: https://www.youtube.com/watch?v=3ROzG6n4yMc Cramer's Rule - 2x2 Linear System: https://www.youtube.com/watch?v=vXqlIOX2itM Cramer's Rule - 3x3 Linear System: https://www.youtube.com/watch?v=Ot87qLTODdQ ______________________________________________________________________________________________ Linear Functions: https://www.youtube.com/watch?v=BtcKotD6Ni8 Functions and Graphs - Practice Problems: https://www.youtube.com/watch?v=kvU9sOzT2mk Graphing Quadratic Functions: https://www.youtube.com/watch?v=OHH7fX_M8Ns Complex Numbers - Quick Review: https://www.youtube.com/watch?v=OQz1ydBcQSA Writing Polynomial Functions Given Zeros: https://www.youtube.com/watch?v=vu0JmblDgog Logarithms Practice Problems: https://www.youtube.com/watch?v=7DVbQKI600k Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o Law of Sines: https://www.youtube.com/watch?v=8qezAG2r0sk How To Graph Polar Equations: https://www.youtube.com/watch?v=jO4lwddfeDA Complex Numbers - De Moivre's Theorem: https://www.youtube.com/watch?v=J6TnZxUUzqU _______________________________________________________________________________________________ Ellipses - Conic Sections: https://www.youtube.com/watch?v=OPSCKXXvWiM Arithmetic Sequences: https://www.youtube.com/watch?v=XZJdyPkCxuE Probability - Basic Intro: https://www.youtube.com/watch?v=SkidyDQuupA Intro to Statistics: https://www.youtube.com/watch?v=XZo4xyJXCak _______________________________________________________________________________________________ Pre-Calculus Final Exam Review: https://www.youtube.com/watch?v=Tj-V6KnwM5w Full-Length Exam Videos + Worksheets: https://www.patreon.com/MathScienceTutor

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