A company produces three types of shoes formal casual and athletic at its two factories Factory I and Factory II Daily production of each factory for each type of shoe is listed below Formal Casual Athletic Z Factory 100 100 300 The company must produce at least 5800 pairs of formal shoes 8300 pairs of casual shoes and 9900 pairs of athletic shoes If the cost of operating Factory I is 1800 per day and the cost of operating Factory II is 1850 how many days should each factory operate to complete the order at a minimum cost and what is the minimum cost a Letting a be the first of the variables listed in the problem statement and y the second write the objective function Factory II 100 200 100 b Graph the feasible region on paper then list the corner points of the feasible region Enter ordered pairs x y separated by commas c Test the corner points to find the optimum value of the objective function The winning corner point is The optimum value of the objective function is