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A farmer can buy two types of plant food, mix A and mix B. Each cubic...

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of Mix B contains 10 pounds of acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirement are 480 pounds of acid, 970 pounds of nitrogen, and 250 pounds of potash. If x is the number of cubic yards of mix A used and y is the number of cubic yards of mix B used

a) write a system of linear inequalities that indicates appropriate constraints on x and y.

b) find the set of feasible solutions for the amounts of mix A and mix B that can be used to minimize the cost for both mix A and B is A costs $12 and B costs $11.5 per pound.

Math   Algebra   
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