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A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 22 pounds of phosphoric acid, 28 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 8 pounds of phosphoric acid, 28 pounds of nitrogen, and 15 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 840 pounds of nitrogen, and 225 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 22 pounds of phosphoric acid, 28 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 8 pounds of phosphoric acid, 28 pounds of nitrogen, and 15 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 840 pounds of nitrogen, and 225 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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K A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 22 pounds of phosphoric acid, 28 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 8 pounds of phosphoric acid, 28 pounds of nitrogen, and 15 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 840 pounds of nitrogen, and 225 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. 440 Write an inequality for the constraint on nitrogen. Complete the inequality below. 840 Write an inequality for the constraint on potash. Complete the inequality below. 225 Are any other inequalities needed? O A. Yes, x ≥ 0 and y ≥ 0 B. Yes, x≤ 0 and y ≤ 0 O C. No D. Yes, xzy Use the graphing tool to graph the system. Graph the region that represents the correct solution only once. Click to enlarge graph 60- 50- 40- 30- 20- 10- 10 20 30
Transcribed Image Text:K A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 22 pounds of phosphoric acid, 28 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 8 pounds of phosphoric acid, 28 pounds of nitrogen, and 15 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 840 pounds of nitrogen, and 225 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. 440 Write an inequality for the constraint on nitrogen. Complete the inequality below. 840 Write an inequality for the constraint on potash. Complete the inequality below. 225 Are any other inequalities needed? O A. Yes, x ≥ 0 and y ≥ 0 B. Yes, x≤ 0 and y ≤ 0 O C. No D. Yes, xzy Use the graphing tool to graph the system. Graph the region that represents the correct solution only once. Click to enlarge graph 60- 50- 40- 30- 20- 10- 10 20 30
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