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2. A company makes 4, 5, and 6 shelf free-standing bookcases. A bookcase with 4 shelves requires 9 units of wood and 5 units of labour to make it. Bookcases with 5 shelves require 12 units of wood and 6 units of labour; and 6 shelf bookcases need 15 and 7 units of wood and labour respectively. The weekly amounts of available wood and labour are given by \textit{W} and \textit{L} respectively. The profit from selling a bookcase with \textit{k} shelves is $p_k$. Formulate an LP to maximize the company's profit. You may assume the company can sell all the bookcases it makes.

          2. A company makes 4, 5, and 6 shelf free-standing bookcases. A bookcase with 4 shelves requires 9 units of wood and 5 units of labour to make it. Bookcases with 5 shelves require 12 units of wood and 6 units of labour; and 6 shelf bookcases need 15 and 7 units of wood and labour respectively. The weekly amounts of available wood and labour are given by \textit{W} and \textit{L} respectively. The profit from selling a bookcase with \textit{k} shelves is $p_k$.
Formulate an LP to maximize the company's profit. You may assume the company can sell all the bookcases it makes.

2. A company makes 4, 5, and 6 shelf free-standing bookcases. A bookcase with 4 shelves requires 9 units of wood and 5 units of labour to make it. Bookcases with 5 shelves require 12 units of wood and 6 units of labour; and 6 shelf bookcases need 15 and 7 units of wood and labour respectively. The weekly amounts of available wood and labour are given by W and L respectively. The profit from selling a bookcase with k shelves is pk.
Formulate an LP to maximize the company's profit. You may assume the company can sell all the bookcases it makes.

Added by Daniel P.

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