Pre-Calculus
Course Description: Students in Pre-Calculus study a variety of topics that include: relations; functions and graphs; trigonometry; advanced
functions and graphing; discrete mathematics; logarithms; polar coordinates;
complex numbers; conics;
vectors; advanced problem solving
and modeling of equations. In
addition, students will begin the study of limits and the derivative.
Linear Programming is a fun topic that we study in Pre-Calculus. Linear Programming allows us to answer real world problems using an algebraic and graphic approach in an effort to find the most optimal solution. Often, the optimal solution involves either minimize a factor such as cost, or maximizing a factor profit. Consider the problem below:
Jack is planning a diet for the week that requires at least 18 units of carbohydrates and at least 16 units of protein. Jack can buy Healthy Choice meals which are on sale for $3.00 each and contain 4 units of protein and 1 unit of carbohydrates, or Jack can buy Lean Cuisine meals which are on sale for $1.50 per unit and each contain 2 units of carbohydrates and 1 unit of protein. How many units of each food substance should be purchased in order to minimize cost? What is the minimum cost?
Linear Programming is a fun topic that we study in Pre-Calculus. Linear Programming allows us to answer real world problems using an algebraic and graphic approach in an effort to find the most optimal solution. Often, the optimal solution involves either minimize a factor such as cost, or maximizing a factor profit. Consider the problem below:
Jack is planning a diet for the week that requires at least 18 units of carbohydrates and at least 16 units of protein. Jack can buy Healthy Choice meals which are on sale for $3.00 each and contain 4 units of protein and 1 unit of carbohydrates, or Jack can buy Lean Cuisine meals which are on sale for $1.50 per unit and each contain 2 units of carbohydrates and 1 unit of protein. How many units of each food substance should be purchased in order to minimize cost? What is the minimum cost?