SOLUTION: Linear Inequality Word Problem Please: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 24 pounds of phosphoric acid, 14 pounds of n

Question 881278: Linear Inequality Word Problem Please:
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 24 pounds of phosphoric acid, 14 pounds of nitrogen, and 14 pounds of potash. Each cubic yard of mix B contains 12 pounds of phosphoric acid, 16 pounds of nitrogen, and 35 pounds of potash. The minimum monthly requirements are 720 pounds of phosphoric acid, 560 pounds of nitrogen , and 700 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, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.
Write an inequality for the constraint on phosphoric acid. Complete the inequality below.
__ 720

Write an inequality for the constraint on nitrogen. Complete the inequality below.
___ 560

Write an inequality for the constraint on potash. Complete the inequality below.
____ 700
Are any other inequalities needed?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
24x+12y>=720
14x+16y>=560
14x+35y>=700

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