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A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in volume, weighs 100 pounds, and earns $12 for the driver. Each crate of cargo B is 2 cubic feet in volume, weighs 200 pounds, and earns $8 for the driver. The truck can carry no more than 300 cubic feet of crates and no more than 10,000 pounds. Also, the number of crates of cargo B must be less than or equal twice the number of crates of cargo A. (a) Fill in the chart. A cubic feet pounds S Truck capacity B cubic feet Volume Weight pounds $ Earnings (b) Let x be the number of crates of cargo A and y the number of crates of cargo B. Referring to the chart, give the two inequalities that x and y must satisfy because of the truck's capacity for volume and weight. $300 ≤ 10,000 (c) Give the inequalities that x and y must satisfy because of the last sentence of the problem and also because x and y cannot be negative. ys y² x² cubic feet pounds (d) Express the earnings from carrying x crates of cargo A and y crates of cargo B. Earnings is

A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in volume, weighs 100 pounds, and earns $12 for the driver. Each crate of cargo B is 2 cubic feet in volume, weighs 200 pounds, and earns $8 for the driver. The truck can carry no more than 300 cubic feet of crates and no more than 10,000 pounds. Also, the number of crates of cargo B must be less than or equal twice the number of crates of cargo A. (a) Fill in the chart. A cubic feet pounds S Truck capacity B cubic feet Volume Weight pounds $ Earnings (b) Let x be the number of crates of cargo A and y the number of crates of cargo B. Referring to the chart, give the two inequalities that x and y must satisfy because of the truck's capacity for volume and weight. $300 ≤ 10,000 (c) Give the inequalities that x and y must satisfy because of the last sentence of the problem and also because x and y cannot be negative. ys y² x² cubic feet pounds (d) Express the earnings from carrying x crates of cargo A and y crates of cargo B. Earnings is

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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A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in volume, weighs 100 pounds, and earns $12 for the driver. Each crate of cargo B is 2 cubic feet in volume, weighs 200 pounds, and earns $8 for the driver. The truck can carry no more than 300 cubic feet of crates and no more than 10,000 pounds. Also, the number of crates of cargo B must be less than or equal to twice the number of crates of cargo A. (a) Fill in the chart. B cubic feet Volume Weight pounds $ Earnings (b) Let x be the number of crates of cargo A and y the number of crates of cargo B. Referring to the chart, give the two inequalities that x and y must satisfy because of the truck's capacity for volume and weight. ≤300 A cubic feet pounds $ Truck capacity cubic feet pounds ≤ 10,000 (c) Give the inequalities that x and y must satisfy because of the last sentence of the problem and also because x and y cannot be negative. ys y2 X² O A. (d) Express the earnings from carrying x crates of cargo A and y crates of cargo B. Earnings is (e) Graph the feasible set for the shipping problem. Cross out the part of the graph that is not the solution. The feasible set is not shaded. O B. O C. OD.
Transcribed Image Text:A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in volume, weighs 100 pounds, and earns $12 for the driver. Each crate of cargo B is 2 cubic feet in volume, weighs 200 pounds, and earns $8 for the driver. The truck can carry no more than 300 cubic feet of crates and no more than 10,000 pounds. Also, the number of crates of cargo B must be less than or equal to twice the number of crates of cargo A. (a) Fill in the chart. B cubic feet Volume Weight pounds $ Earnings (b) Let x be the number of crates of cargo A and y the number of crates of cargo B. Referring to the chart, give the two inequalities that x and y must satisfy because of the truck's capacity for volume and weight. ≤300 A cubic feet pounds $ Truck capacity cubic feet pounds ≤ 10,000 (c) Give the inequalities that x and y must satisfy because of the last sentence of the problem and also because x and y cannot be negative. ys y2 X² O A. (d) Express the earnings from carrying x crates of cargo A and y crates of cargo B. Earnings is (e) Graph the feasible set for the shipping problem. Cross out the part of the graph that is not the solution. The feasible set is not shaded. O B. O C. OD.
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