A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10 grams of carbohydrates. The same company's Mango Tropical Fruit Dessert contains, in each serving, 40 calories and 7 grams of carbohydrates. You want to provide your child with at least 240 calories and at least 34 grams of carbohydrates. Draw the feasible region that shows the number of servings of cereal and number of servings of dessert that you can give your child. (Place the Mixed Cereal for Baby on the x-axis and the Mango Tropical Fruit Dessert on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10 grams of carbohydrates. The same company's Mango Tropical Fruit Dessert contains, in each serving, 40 calories and 7 grams of carbohydrates. You want to provide your child with at least 240 calories and at least 34 grams of carbohydrates. Draw the feasible region that shows the number of servings of cereal and number of servings of dessert that you can give your child. (Place the Mixed Cereal for Baby on the x-axis and the Mango Tropical Fruit Dessert on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
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 certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10 grams of carbohydrates. The same company's Mango Tropical Fruit Dessert contains, in each serving, 40 calories and 7 grams of carbohydrates. You want to provide your child with at least 240 calories and at least 34 grams of carbohydrates. Draw the feasible region that shows the number of servings of cereal and number of servings of dessert that you can give your child. (Place the Mixed Cereal for Baby on the x-axis and the Mango Tropical Fruit Dessert on the y-axis.)
Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
(x, y)
(x, y)
(x, y)
=
=
=
![The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the chairperson is trying to decide how many sections of each to
offer this semester. The department is allowed to offer 47 sections total, there are 5,300 students who would like to take a course, and there are 64 professors to teach them. Sections of
Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught
by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the
sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum
number of students allowed.)
Ancient History
Medieval History
Modern History
11
20
16
X sections
X sections
X sections](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5706278e-a935-4281-9602-9e379e6c5f72%2Fdd104d2c-ee58-4b75-a9f2-fb3708643935%2Flbszn4s_processed.png&w=3840&q=75)
Transcribed Image Text:The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the chairperson is trying to decide how many sections of each to
offer this semester. The department is allowed to offer 47 sections total, there are 5,300 students who would like to take a course, and there are 64 professors to teach them. Sections of
Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught
by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the
sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum
number of students allowed.)
Ancient History
Medieval History
Modern History
11
20
16
X sections
X sections
X sections
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