What is the optimal number of chairs should be produced

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Reference no: EM133654276

Problem

Vicky's factory manufactures chairs and tables. Each chair or table must go through the painting shop and the assembly shop. If the painting shop were completely devoted to painting the chairs, 800 chairs per day could be painted, whereas if it were completely devoted to painting tables, 500 per day could be painted. If the assembly shop were completely devoted to assemble chairs, then 1000 chairs per day could be assembled, if it were completely devoted to assemble the tables, 1100 tables per day could be assembled. Each chair brings profit of $140 and each table brings profit of $180.

1) To maximize the profit of the factory, what is the optimal number of chairs should be produced?

2) To maximize the profit of the factory, what is the optimal number of tables should be produced?

3) What is the total optimal profit?

4) Vicky wants to increase to profit of her factory. Can she do this by changing the profit per chair without changing the previous optimal solution? Type ''Yes'' or ''No''.

5) Following last question. If this is possible, what is the maximum profit can be reached in such case.

Reference no: EM133654276

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