Question

Imagine you are the CEO of a startup company. You will apply the knowledge you obtained throughout this module to investigate linear programming techniques. Linear programming is used in a variety of business settings to determine profit loss or gain.

Answer 1

Solve systems of linear inequalities in two variables using graphical methods
Solve real-world problems involving systems of linear inequalities in two variables

Answer 2

very informative, thanks.

Answer 3

You must design a business plan that presents the following information to a board of investors looking to invest in your company. You should include:

The name of your company
The type of business (i.e., clothing, electronics, furniture, etc.)
Two products your company will make
Assign variables to the two products; please use x and y
A system of inequalities based on the following information
Produce at least 30 of product #1.
Produce at least 20 of product #2.
Product #1 costs $3 per unit to make.
Product #2 $5 per unit to make.
The total production cost cannot exceed $340.
Graph the system of inequalities
This can be done by hand or using a graphing software like GeoGebra.
Label the lines, points of intersection, and axis.
Show the shaded solution of the three inequalities and explain what it represents.
If GeoGebra is used, follow Directions for GeoGebra.
If Product #1 earns a profit of $10 per unit and Product #2 earns a profit of $15 per unit, find the combination of Product #1 and Product #2 that will maximize profit.
A commercial that could be used to advertise your two products to the general public. You may include a slogan or jingle.