farmer can buy two types of plant food, mix A and mix B. Each cubic yard of nix A contains 42 pounds of phosphoric acid, 28 pounds of nitrogen, and 4 ounds of potash. Each cubic yard of mix B contains 14 pounds of hosphoric acid, 28 pounds of nitrogen, and 10 pounds of potash. The minimum nonthly requirements are 630 pounds of phosphoric acid, 840 pounds f nitrogen, and 200 pounds of potash. Find the set of feasible solutions raphically for the amounts of mix A and mix B that can be used.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Question
8:26
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of
mix A contains 42 pounds of phosphoric acid, 28 pounds of nitrogen, and 4
pounds of potash. Each cubic yard of mix B contains 14 pounds of
phosphoric acid, 28 pounds of nitrogen, and 10 pounds of potash. The minimum
monthly requirements are 630 pounds of phosphoric acid, 840 pounds
of nitrogen, and 200 pounds of potash. Find the set of feasible solutions
graphically for the amounts of mix A and mix B that can be used.
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.
▼630
****
AA
...I LTE
mylab.pearson.com
Ć
Ау
60-
50-
40-
30-
20-
10-
Transcribed Image Text:8:26 A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 42 pounds of phosphoric acid, 28 pounds of nitrogen, and 4 pounds of potash. Each cubic yard of mix B contains 14 pounds of phosphoric acid, 28 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 630 pounds of phosphoric acid, 840 pounds of nitrogen, and 200 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used. 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. ▼630 **** AA ...I LTE mylab.pearson.com Ć Ау 60- 50- 40- 30- 20- 10-
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