a) Please formulate the mathematical equations of pottery to maximize profit from bowls and mugs. Describe the objective function, constraints and decision variables.

b) Please draw a graph of the objective function and constraints (Need to show the feasible area inside the graph).

c) Please label on the graph the 3 extreme points (edge points on graph in which the lines intersect) that are candidate for being the optimal solution.

d) What is the value of slack in each of the 3 extreme points?

e) Which of the 3 extreme points is the optimal, explain?

f) Please open excel file of the pottery example posted on canvas (Exhibit 3,1). Using excel solver, please run the analysis and attach an output which shows the values for optimal solution of the pottery. Please copy paste the output into your word document homework.

g) Please run sensitivity analysis using excel solver of the pottery problem. Please attach the output of sensitivity analysis.

Tarnet C.all (Max) Adiustable Cells Cinnatrainta Adiuntahla r allo