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7. An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by P(x) = -10x² + 1760x - 50,000. (a) To maximize the monthly rental profit, how many units should be rented out? (b) What is the maximum monthly profit realizable? 8. If 1200 cm² of material is available to make a box with a square bottom and an open top, find the largest possible volume of the box. 9. A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.20/ft2, determine the dimensions of the box that can be constructed at minimum cost. 10. Express each equation in logarithmic form. (a) 26 = 64 (b) 813/4 = 27

7. An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by P(x) = -10x² + 1760x - 50,000. (a) To maximize the monthly rental profit, how many units should be rented out? (b) What is the maximum monthly profit realizable? 8. If 1200 cm² of material is available to make a box with a square bottom and an open top, find the largest possible volume of the box. 9. A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.20/ft2, determine the dimensions of the box that can be constructed at minimum cost. 10. Express each equation in logarithmic form. (a) 26 = 64 (b) 813/4 = 27

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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7. An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by P(x) = -10x² + 1760x - 50,000. (a) To maximize the monthly rental profit, how many units should be rented out? (b) What is the maximum monthly profit realizable? 8. If 1200 cm² of material is available to make a box with a square bottom and an open top, find the largest possible volume of the box. 9. A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.20/ft2, determine the dimensions of the box that can be constructed at minimum cost. 10. Express each equation in logarithmic form. (a) 26 = 64 (b) 813/4 = 27
Transcribed Image Text:7. An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by P(x) = -10x² + 1760x - 50,000. (a) To maximize the monthly rental profit, how many units should be rented out? (b) What is the maximum monthly profit realizable? 8. If 1200 cm² of material is available to make a box with a square bottom and an open top, find the largest possible volume of the box. 9. A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.20/ft2, determine the dimensions of the box that can be constructed at minimum cost. 10. Express each equation in logarithmic form. (a) 26 = 64 (b) 813/4 = 27
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