Solve the problem by using Hungarian Method. Q3. Better Fitness, Inc. (BFI) manufactures exercise equipment at its Freeport, Long Island plant. It recently designed two universal weight machines for the home exercise market. Both machines use BFI-patented technology that provides the user with an extensive range of motion capability for each type of exercise. Until now, such capabilities have been available only on expensive weight machines used primarily by physical therapists. At a recent trade show, demonstrations of the machines resulted in significant dealer interest. The number of orders BFI received at the trade show far exceeded its manufacturing capabilities for the current production period. As a result. management decided to begin production of the two machines. The two machines. which BFI named the Body-Plus 100 and the Body-Plus 200. require different amounts of resources to produce. Better Fitness, Inc. (BFI) would like to schedule production for these two products for the next two months. Each unit of the Body-Plus 100 requires four hours of production time, and each unit of the Body-Plus 200 uses six hours of production time. The following orders have been received for March and April: The ending inventory from February was 200 units of the Body plus 100 and 300 units of the Body plus 200. The total number of hours of production time used in February was 6300 hours. The management of Better litness. Inc. ( BFI ) is concerned about satisfying existing orders for the Body Plus 100 and Body Plus 200 for both March and \(\Lambda \) pril. which is the first goal of the management. The next goal of management is to address the fluctuation in labor hours. Management doesn't want to implement any production schedule that would involve significant labor fluctuations from month to month. In this regard, its goal is to develop a production schedule that would limit fluctuations in labor hours to a maximum of 1000 hours from one month to the next. Requirements: Develop a goal programming model to meet the goals specified above. (6 Marks)