Your furniture store sells two types
Asked by maham237 @ in Mathematics viewed by 339 People
20 of type A; 20 of type B
2 of type A; 38 of type B
30 of type A; and 10 of type B
38 of type A; 2 of type B
Answered by maham237 @
Let x represent the number of type A table and y represent the number of type B tables.
Minimize: C = 265x + 100y
Subject to: x + y ≤ 40
25x + 13y ≥ 760
x ≥ 1, y ≥ 1
From, the graph the corner points are (20, 20), (39, 1), (30, 1)
For (20, 20): C = 265(20) + 100(20) = $7,300
For (39, 1): C = 265(39) + 100 = $10,435
For (30, 1): C = 265(30) + 100 = $8,050
Therefore, for minimum cost, 20 of type A and 20 of type B should be ordered.
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