The Vandelay furniture company makes bookshelves and tables. Consider the following Linear Programming Model: X =...
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The Vandelay furniture company makes bookshelves and tables. Consider the following Linear Programming Model: X₁ = the number of bookshelves made in a day. X2 = the number of tables made in a day. Maximize: Z = 50X₁ +50X₂ Profit ($) Subject to: 20X1 + 11.9X2 <= 100 Labor (hours) 6.3X1 + 10X₂ <= 50 Lumber (board-feet) What's the lowest that the profit on a bookshelf can be, without changing the optimal solution? Another way to ask this is, what's the lower bound on the sensitivity range for C₁? (Round your answer to 1 decimal place.) The Vandelay furniture company makes bookshelves and tables. Consider the following Linear Programming Model: X₁ = the number of bookshelves made in a day. X2 = the number of tables made in a day. Maximize: Z = 50X₁ +50X₂ Profit ($) Subject to: 20X1 + 11.9X2 <= 100 Labor (hours) 6.3X1 + 10X₂ <= 50 Lumber (board-feet) What's the lowest that the profit on a bookshelf can be, without changing the optimal solution? Another way to ask this is, what's the lower bound on the sensitivity range for C₁? (Round your answer to 1 decimal place.)
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