can someone help please?

QUANTITATIVE ANALYSIS

a Question (1): Based on what you have studied about Quantitative Analysis, answer the following questions: (7 marks) a. Choose the correct answer of the following: (4 marks) 1. What is the essential condition for using the graphical method? a. Negative variables. b. Integer variables. c. Only two decision variables. d. More than three variables. 2- In LP, numbers in the objective and constraints are always known and do not change during the period being studied. This assumption is called a. Proportionality b. Additivity c. Divisibility d. Certainty. b. Based on your studies, read the following definitions in the table below and choose the right term that reflects the meaning of each. (3 marks) No. Definitions Term 1 A measurable input quantity that is inherent in a mathematical formula 2 Scientific approach to decision making. 3 means that if production of 1 unit of a product uses 3 hours, production of 10 units would use 30 hours. Question (2): Answer the following question: (5 marks) Woofer pet foods Produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain 2 The following table shows the relevant information for Woofer pet foods. Ingredient Beel Grain Maximum Requirements of Vitamins Vitamini 10 Units 6 Units 40 Units Vitamin 2 12Units 9Units 60 Units Profit pound $0.90 S0.60 Required: Formulate this as LP problem to maximize the profit of the dog food. (Objective function- decision variables- Constraints). Question (3): Referred to the below table, solve the following questions: (8 marks) Availability Constraint 1 45 Constraint 2 87 Constraint 3 2 SO Maximize Profit SSO $20 Required: 1- Formulate the problem as linear program. (Objective function your own decision variables. Constraints). (4 marks) - Draw the problem graphically and assign the feasible region and the optimal point on the graph. (3 marks) - Determine the optimal value. (1 mark)