13. The dietician at the local hospital is planning the breakfast menu for the maternity ward patients.

She is planning a special nonfattening diet, and has chosen cottage cheese and scrambled eggs for breakfast. She is primarily concerned with Vitamin E and iron requirements in planning the breakfast.

According to the State Medical Association (SMA) new mothers must get at least 12 milligrams of Vitamin E and 24 milligrams of iron from breakfast. The (SMA) handbook reports that a scoop of cottage cheese contains 3 milligrams of Vitamin E and 3 milligrams of iron. An average scoop of scrambled egg contains 2 milligrams of Vitamin E and 8 milligrams of iron.

The SMA handbook recommends that new mothers should eat at least two scoops of cottage cheese for their breakfast. The dietician considers this as one of the model constraints The hospital accounting department estimates that a scoop of cottage cheese costs Rs 2 and scoop of scrambled egg also costs Rs 2. The dietician is attempting to determine the optimum breakfast menu that satisfies all the requirements and minimises total cost. The cook insists that he can serve foods by only full scoop, thus necessitating an integer solution. Determine the optimum-integer solution to the problem. (MBA, Delhi, April, 1994)