Question 1 (2.5 points): The material requirements for producing three products A, B and C of a firm (100kg) with three factories are given in the following table: Product M1 M2 M3 M4 M5 A B C 4 6 0 3 Material 0 1 2 2 2 0 4 7 2 1 3 a) Explaining the meaning of number 7 in the table? b) Write down matrix Q to represent for the production plan for 3 products (A, B and C) of three factories for this firm (Unit: 1.000 boxes) given that: - Factory I will produce 4 units of product A, 3 units of product C and have no plan to produce product B; - Factory 2 will produce 2 units of product A, 1 units of product B and have no plan to produce product C; - Factory 3 will produce 6 units of product B, 3 units of product C and have no plan to produce product A. c) What is total amount of each material that this firm needs to fulfill its production plan describing in question