Problem N3: Formulate as an ILP \& Solve using Excel (Diet problem) The space agency is preparing the menu for a lunar mission. The astronauts have provided utility measures for single units of eight food types, which are labeled A through H in the table. Nutritional contents of each food type are also given. (a) Find the menu that will maximize the total utility subject to the following nutritional requirements. The diet must have a minimum of 40 vitamin units, a maximum of 35 fat units, and a maximum of 30 sugar units. In addition, no more than two units of any one food type are allowed, and only whole units may be selected