Math Homework: Solving Equations, Permutations, and Linear Programming

This homework assignment provides solutions to a variety of mathematical problems. It begins with calculator-based calculations and progresses to solving equations, including those in index form and linear equations. The assignment explores permutations and combinations with a class of students, and delves into the interpretation of linear equations, including gradients and the value of y for a given x. It covers finding the perimeter of a rectangle and simplifying various algebraic equations. The assignment concludes with word problems involving furniture sales and savings, and culminates in formulating a linear programming problem with control variables, object functions, and constraints related to production and assembly.