In a typical diet problem formulation, suppose that carrots cost $\$ 1.00$ per pound if you buy one pound or less and only $\$ 0.70$ per pound if you purchase more than one pound. One of the components of the formulation is to minimize cost of the diet. This would still lend itself to linear programming formulation.

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This scenario introduces a non-linear component due to the cost function changing at a specific purchase quantity (1 pound), making it not suitable for a standard linear programming formulation without additional modifications to handle the piecewise linear cost function.

In a Typical Diet Problem Formulation, Suppose That Carrots Cost $1.00\$ 1.00$1.00

In a Typical Diet Problem Formulation, Suppose That Carrots Cost $\$ 1.00$