Question: 1. An aircraft manufacturer fitting out the interior of a plane can use two fitments A and B, which contain components X, Y and Z in the following quantities:
1 unit of A contains 3 units of X, 4 units of Y plus 2 units of Z
1 unit of B contains 6 units of X, 5 units of Y plus 8 units of Z
The aircraft design is such that there must be at least 540 units of X, 600 units of Y and 480 units of Z in total in the plane. If each unit of A weighs 4 kg and each unit of B weighs 6 kg, what combination of A and B will minimize the total weight of these fitments in the plane?
2. Construct your own linear programming problem involving the minimization of an objective function and then solve it.