1) Construct a linear programming problem from your experience. It can be a problem from your daily life, family business, work experience, etc. The linear programming problem should have at least two constraints. (10 points) Maximization (or minimization) function is well specified (5 points) Constraints are reasonable (5 points) 2) Evergreen landscape company offers three types of flower arrangements for a set of gardens. The number and types of flowers for each arrangement are listed in the table. The price is $30 for Arrangement 1, $15 for Arrangement 2, and $25 for Arrangement 3. company has 800 tulips and 650 daffodils available. The owner of the gardens has stipulated that at least 4 arrangement I be used. How many of each arrangement should be used to maximize profit? (90 points) tulips daffodils Arrangement 1 5 7 Arrangement 2 3 Arrangement 3 4 11 4 Set up a table for the simplex method. (15 points) Specify rules for each step of the simplex method. (15 points) Find the solution using the simplex method. (15 points) Draw constraint graphs for the graphical solution. (15 points) Draw profit the function graph for the graphical solution. (15 points) Show the feasible region and optimization point. (15 points) 1) Construct a linear programming problem from your experience. It can be a problem from your daily life, family business, work experience, etc. The linear programming problem should have at least two constraints. (10 points) Maximization (or minimization) function is well specified (5 points) Constraints are reasonable (5 points) 2) Evergreen landscape company offers three types of flower arrangements for a set of gardens. The number and types of flowers for each arrangement are listed in the table. The price is $30 for Arrangement 1, $15 for Arrangement 2, and $25 for Arrangement 3. company has 800 tulips and 650 daffodils available. The owner of the gardens has stipulated that at least 4 arrangement I be used. How many of each arrangement should be used to maximize profit? (90 points) tulips daffodils Arrangement 1 5 7 Arrangement 2 3 Arrangement 3 4 11 4 Set up a table for the simplex method. (15 points) Specify rules for each step of the simplex method. (15 points) Find the solution using the simplex method. (15 points) Draw constraint graphs for the graphical solution. (15 points) Draw profit the function graph for the graphical solution. (15 points) Show the feasible region and optimization point. (15 points)