A dietician wishes ot mix two type of item in such a way that the mixture contians at least 9 units of vitamin A and at least 15 units of vitamin C. Item (1) unit/kg of vitamin A and 3 units/kg of vitamin C while item (2) contains 3 units/ kg of vitamin C while item (2) contains 3 units/ kg of vitamin A and 5 units/kg of vitamin C. Item(1) cost Rs. 6.00/kg and item (2) costs Rs. 9.00/kg. Formulate the above information as a linear programming problem.

Answer

`x+3y ge 9`,
` 3x+5y ge 15` and
`x ge 0,y gt 0`