Formulate and solve a linear programming model to assist the park’s management to plan and schedule the number of new employees it hires each week that will minimize the total number of new employees it must hire during the summer.

Sea Village is a large amusement and water park located on the coast of South Carolina. The park hires high school and college students to work during the summer months of May, June, July, August, and September. The student employees operate virtually all of the highly mechanized, computerized rides; perform as entertainers; perform most of the custodial work during park hours; make up the work force for restaurants, food services, retail shops, and stores; drive trams; and park cars. Park management has assessed their monthly needs based on previous summers’ attendance at the park, and the expected available work force. Park attendance is relatively low in May until public schools are out, then it increases through June, July, and August, and decreases dramatically in September when schools reopen after Labor Day.