A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1unit of carbohydrates, and 1 unit of fat. Every package must provide at least 5 units of protein, at least 9 units of carbohydrates, and no more than 8 units of fat. Let x equal the ounces of fruit and yequal the ounces of nuts to be used in each package.a. Write a system of inequalities to express the conditions of the problem.b. Graph the feasible region of the system.a. Fill in the chart.CarbohydratesProteinyzFatx²≥5≥9Fruitunit(s) perounce≤8unit(s) perounceunit(s) perounceNutsunit(s) perounceunit(s) perounceunit(s) perounceRequirements perpackageAt leastAt leastLet x be the number of ounces of fruit and y the number of ounces of nuts. Referring to the chart, give the three inequalities that x and y must satisfy because of the package's requirements forprotein, fat, and carbohydrate.No more thanunit(s)unit(s)unit(s)Give the inequalities that x and y must satisfy because they cannot be negative.b. Graph the feasible set for the packaging problem. The feasible set is shaded.

A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 5 units of protein, at least 9 units of carbohydrates, and no more than 8 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem. b. Graph the feasible region of the system. a. Fill in the chart. Protein Carbohydrates Fat Fruit unit(s) per ounce unit(s) per ounce unit(s) per ounce 25 ≥9 ≤8 Nuts unit(s) per ounce unit(s) per ounce unit(s) per ounce Requirements per package At least At least unit(s) unit(s) No more than unit(s) Let x be the number of ounces of fruit and the number of ounces of nuts. Referring to the chart, give the three inequalities that x and y must satisfy because of the package's requirements for protein, fat, and carbohydrate. Give the inequalities that x and must satisfy because they cannot be negative. b. Graph the feasible set for the packaging problem. The feasible set is shaded.

A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 5 units of protein, at least 9 units of carbohydrates, and no more than 8 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem. b. Graph the feasible region of the system. a. Fill in the chart. Protein Carbohydrates Fat Fruit unit(s) per ounce unit(s) per ounce unit(s) per ounce 25 ≥9 ≤8 Nuts unit(s) per ounce unit(s) per ounce unit(s) per ounce Requirements per package At least At least unit(s) unit(s) No more than unit(s) Let x be the number of ounces of fruit and the number of ounces of nuts. Referring to the chart, give the three inequalities that x and y must satisfy because of the package's requirements for protein, fat, and carbohydrate. Give the inequalities that x and must satisfy because they cannot be negative. b. Graph the feasible set for the packaging problem. The feasible set is shaded.

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 dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 8 units of protein, at least 12 units of carbohydrates, and no more than 11 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem. b. Graph the feasible region of the system. a. Fill in the chart. Protein Carbohydrates Fat Fruit unit(s) per ounce unit(s) per ounce unit(s) per ounce Nuts unit(s) per ounce unit(s) per ounce unit(s) per ounce .. Requirements per package At least At least No more than unit(s) unit(s) unit(s)
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