Linear Programming

1.The owner of the bicycle sales and repair business stocks two types of bicycle oil: conventional and synthetic. His storeroom has room for no more than 105 cans of oil in stock. A review of his sales history suggests that at least 3 times as much conventional oil is sold as synthetic. Additionally experience has shown him that, due to demand, he should keep a maximum of 45 cans of conventional oil but have no less than 30 cans on hand. Experience has shown that demand for synthetic oil is somewhat unpredictable therefore he thinks he should keep a minimum of 10 cans of the synthetic in stock. He purchases the conventional oil for $4.75 per can and the synthetic oil for $5.30 and sells them for $5.90 and $7.55 respectively.

Question 14: How many cans of conventional oil should he stock in his center in order to make the maximum profit? Round down your answer to the nearest whole can