A patient is required to have at least 60 milligrams of nifeldipin, at least 1100 micrograms of hydrochloride, at most 1000 micrograms of diezepamum, and at least 31 milligram of ibupro- fen daily. These substances are to be consumed by taking a certain amount of Vianol and Gantric, both of which contain unwanted sodium-sulphate. Each gram of Vianol contains 140 micrograms of diezepamum, 13 milligrams of ibuprofen, 705 micrograms of hydrochlorid, 20 milligrams of nifeldipin, and 23 milligrams of sodium-sulphate. Each gram of Gantric contains 100 micrograms of diezepamum, 3.5 milligrams of ibuprofen, 310 micrograms of hydrochlorid, 15 milligrams of nifeldipin, and 12 milligrams of sodium-sulphate. How many grams of Vianol and Gantric should be taken to fulfill the requirements for diezepamum, ibuprofen, hydrochloride and nifeldipin and to minimize the intake of sodium-sulphate?
1. What is the objective function?
2. Write the contraints
3. Which optimization method is appropriate for this problem?
4. Solve the problem show all work.