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, 30 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 9 pounds of phosphoric acid, 30 pounds of nitrogen, and 36 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used. 70- 60- 50- 40- 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. 30- 20- 10- 540 Write an inequality for the constraint on nitrogen. Complete the inequality below. 10 20 30 40 50 60 900 Write an inequality for the constraint on potash. Complete the inequality below. 360
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, 30 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 9 pounds of phosphoric acid, 30 pounds of nitrogen, and 36 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used. 70- 60- 50- 40- 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. 30- 20- 10- 540 Write an inequality for the constraint on nitrogen. Complete the inequality below. 10 20 30 40 50 60 900 Write an inequality for the constraint on potash. Complete the inequality below. 360
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, 30 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 9 pounds of phosphoric acid, 30 pounds of nitrogen, and 36 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid,
900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.
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, 30 pounds of nitrogen, and 6 pounds of
potash. Each cubic yard of mix B contains 9 pounds of
phosphoric acid, 30 pounds of nitrogen, and 36 pounds of
potash. The minimum monthly requirements are 540
pounds of phosphoric acid, 900 pounds of nitrogen, and
360 pounds of potash. Find the set of feasible solutions
graphically for the amounts of mix A and mix B that can be
used.
70-
60-
50-
40-
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.
30-
20-
10-
540
Write an inequality for the constraint on nitrogen.
Complete the inequality below.
10
20
30
40
50
60
70
900
Write an inequality for the constraint on potash. Complete
the inequality below.
360
Are any other inequalities needed?
O A. Yes, xs0 and ys0
O B. Yes, x20 and y20
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