6. Consider the following system of constraints, associated with a linear programming problem: x+2y < 12 x+y< 10 X>0 y ≥

[answerhappygod]

6 Consider The Following System Of Constraints Associated With A Linear Programming Problem X 2y 12 X Y 10 X 0 Y 1 (280.44 KiB) Viewed 47 times

6. Consider the following system of constraints, associated with a linear programming problem: x+2y < 12 x+y< 10 X>0 y ≥ 0. (5) Maximize z = x+4y. 7. A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: Colonial and ranch style. A colonial requires R30000 of capital and produces a profit of R4000 when sold. A ranch-style house requires R40000 of capital and provides an R8000 profit. If the contractor has R3.6 million of capital on hand, how many houses of each type should she build for maximum profit? Will any of the lots be left vacant? (6)