please use LINGO

3. (20 marks) Every operating day an oil refinery requires at least 2 100 kilograms (kg) of chemical A. 2780 kg of chemical B, and 1500 kg of chemical C. They externally purchase two types of bugs which contain these chemicals. Each type 1 bag contains 17.5 kg of chemical A, 10 kg of B, and 2.5 kg of C. Each type 2 bag contains 8.75 kg of chemical A. 14 kg of B, and 15 kg of C. A type 1 bag costs $140, while a type 2 bag costs $200. Storage limitations mean that no more than 290 bags (of both types combined) can be purchased each day. They wish to minimize the daily cost of buying these bags. (Because of the repetitive nature of the operations, the number of bags need not be integer.) We define X, and X2 to be respectively the number of type 1 and 2 bags purchased each day. minimize 140X1 + 200X2 subject to Chemical A 17.5X: +8.75X2 > 2100 Chemical B 10X1 + 14X2 > 2780 Chemical C 2.5X, +15X2 > 1500 Storage X1 + X2