Question (1): Based on what you have studied about Quantitative Analysis, answer the following questions: ( 5 marks) a. Explain the limitations in the use of graphical solution for a LP problem. (3.5 marks) b. Based on your studies, read the following definitions in the table below and choose the right term that reflects the meaning of each. (1.5 marks) Question (2): Solve the following LP problem: (10 marks) The Electro comp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of $25. Each fan assembled may be sold for a $15 profit. Required: a. Formulate the above as Linear Program. ( 3 marks) b. Solve this linear program graphically and illustrate the feasible region. ( 3 marks) c. Specify the profit value (1 mark) d. Determine the optimal quantities of X, Y. (1 marks) e. Calculate the Slack for constraint (1). (2 mark) Woofer pet foods Produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain. The following table shows the relevant information for Woofer pet foods. Required: Formulate this as LP problem to maximize the profit of the dog food. (Objective functiondecision variables-Constraints)