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Formulate only, do not solve: Your company makes two types of trail mixes: SignatureTrail and OrganicTrail....

Formulate only, do not solve: Your company makes two types of trail mixes: SignatureTrail and OrganicTrail. Each contains a mixture of nuts, dried fruit and flax. You have 250 kg of nuts, 225 kg of dried fruit, and 150kg of flax on hand. Nuts have 200 g/kg of protein, dried fruit of 20 g/kg of protein, and flax has 100 g/kg of protein. The OrganicTrail mix calls for at least 35% flax and at least 20% dried fruit. The SignatureTrail mix must be at least 60% nuts, at least 25% dried fruit and the amount of flax must exceed 50% of the amount of dried fruit. Each mix must have at least 10% protein. OrganicTrail sells for $25/kg and SignatureTrail sells for $21/kg. Formulate a linear program to maximize the income from the sales of the two trail mixes.

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