Keren must work at least 18 hours a week to supplement her income while attending school. She has the opportunity to work in two retail stores. In store 1, she can work between 5 and 13 hours a week, and in store 2, she is allowed between 6 and 11 hours. Both stores pay the same hourly wage. In deciding how many hours to work in each store, Keren wants to base her decision on work stress. Based on interviews with present employees, Keren estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and 2, respectively. Because stress mounts by the hour, she assumes that the total stress for each store at the end of the week is proportional to the number of hours she works in the store. How many hours should Keren work in each store? REQUIREMENTS:

a. Define the variables used and formulate the linear programming model for this problem.

b. Graph the constraints and identify the feasible region.

c. Find the optimal solution and interpret the results.

Corner Points	Objective Function