Formulate the stated problems as a linear model $($clearly state decision variables, objective function, and constraints$).$ ATTACH YOUR FORMULATIONS!!!!!!!!!!!!!

Find the optimal solution using Solver or graphical method as shown in class PowerPoint slides.

Attach your Excel solver files or your graphs.

Solve the following linear programming model graphically and attach your graph:

$]20[0$

The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phosphate, and potassium. A pound of ingredient $1$ contributes $10$ ounces of nitrogen and $6$ ounces of phosphate, whereas a pound of ingredient $2$ contributes $2$ ounces of nitrogen, $6$ ounces of phosphate, and $1$ ounce of potassium. Ingredient $1$ costs $$3$ per pound, and ingredient $2$ costs $$5$ per pound. The company wants to know how many pounds of each chemical ingredient to put into a bag of fertilizer to meet the minimum requirements of $20$ ounces of nitrogen, $36$ ounces of phosphate, and $2$ ounces of potassium while minimizing cost.

Formulate a linear programming model for this problem.

Solve this model by using graphical analysis and attach your graph.