Happy Cattle Farm uses at least 500 kg of supplementary feed dairy. The feed is a mixture of barley and soybean meal with the compositions shown in Table 1. The table also shows the cost of barley and soybean meal.

Table 1. Nutrient content and cost of feed

	Kg of nutrient per kg of feed
Feed	Protein	Fiber	Cost ($/kg)
Barley	0.10	0.20	0.21
Soybean meal	0.50	0.05	0.49

The feed mixture should contain at least 20% protein and at most 10% fiber. Moreover, the daily mixture must include at least 250kg of barley. Happy Cattle Farm wishes to determine the feed mixture with the lowest daily cost. Develop a linear program (LP) mode for the problem.