Nutritional requirements

In the distant future, a starship full of spacefaring humans meets their nutritional requirements by consuming Soylent brand Nutri-Paste in any of several varieties. One of the children on board has developed a deliciousness index for each variety. He wants to mix the varieties to create the average-tastiest meal that satisfies his mother’s strict requirements: at least 1500 kiloCalories, no more than 20g of fat, and at least 100 g of protein, with a volume of exactly 30 sees. The relevant nutritional information is given in the table below. Variety Deliciousness kCal/cc Fat g/cc Protein g/Cc 25 Soylent Blue 0.1 0.1 6.3 Soylent Red 0.25 0.2 2.2 0.65 1.8 4.1 Soylent Yellow (a) Let 333, $3, my, mg respectively represent the cos of Blue, Red, and Yellow to include in the mixture. Use these variables to model this problem as Linear Program.