A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 36 pounds of phosphoric acid, 27 pounds of nitrogen, and 9 pounds of potash. Each cubic yard of mix B contains 12 pounds of phosphoric acid, 27 pounds of nitrogen, and 24 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 810 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and Ay 50- 40- mix B that can be used. 30- 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. Write an inequality for the constraint on phosphoric acid. Complete the inequality below. 20- 540 10- 10 20 30 40 30

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Question
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix
A contains 36 pounds of phosphoric acid, 27 pounds of nitrogen, and 9 pounds of
potash. Each cubic yard of mix B contains 12 pounds of phosphoric acid, 27
pounds of nitrogen, and 24 pounds of potash. The minimum monthly requirements
are 540 pounds of phosphoric acid, 810 pounds of nitrogen, and 360 pounds of
potash. Find the set of feasible solutions graphically for the amounts of mix A and
Ay
50-
40-
mix B that can be used.
30-
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. Write an inequality for the constraint on phosphoric acid.
Complete the inequality below.
20-
540
10-
10
20
30
40
30
Transcribed Image Text:A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 36 pounds of phosphoric acid, 27 pounds of nitrogen, and 9 pounds of potash. Each cubic yard of mix B contains 12 pounds of phosphoric acid, 27 pounds of nitrogen, and 24 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 810 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and Ay 50- 40- mix B that can be used. 30- 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. Write an inequality for the constraint on phosphoric acid. Complete the inequality below. 20- 540 10- 10 20 30 40 30
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