**Problem Description:**An apartment complex rents 1-bedroom, 2-bedroom, and 3-bedroom units, charging $500, $700, and $850 per unit for monthly rent, respectively. One month, a total of 78 units were occupied, generating a total revenue of $52,500. If twice as many 2-bedroom units were occupied as 3-bedroom units, how many units of each type were occupied?**Equations and Options:**Let $ x $ represent the number of 1-bedroom units, $ y $ the number of 2-bedroom units, and $ z $ the number of 3-bedroom units occupied.Which 3 equations form the system that can solve the problem?i) $ x + y + z = 78 $ii) $ 500x + 700y + 850z = 52500 $iii) $ 2y - z = 0 $iv) $ 1x + 2y + 3z = 78 $v) $ y - 2z = 0 $vi) $ 500x + 700(2y) + 850(3z) = 52500 $Options:a) ii, iv, v b) i, iii, vi c) i, ii, v d) i, ii, iii e) iii, iv, vi f) none of these **Question 13:**Find the number of 2-bedroom units that were occupied.Options:a) 36 b) 15 c) 16 d) 30 e) 72 f) none of these

(12 and 13) An apartment complex rents 1-bedroom, 2-bedroom, and 3-bedroom units, and charges $500, $700, and $850, respectively, per unit for monthly rent. One month, a total of 78 units were occupied, and the total revenue from rent was $52,500. If twice as many 2-bedroom units were occupied as 3-bedroom units, how many units of each type were occupied? 12) Let x represent the number of 1-bedroom units that were occupied, y represent the number of 2-bedroom units that were occupied, and z represent the number of 3-bedroom units that were occupied. Which 3 equations below form the system of equations that can be used to solve this problem? i) x+ y + z = 78 ii) 500x + 700y + 850z = 52500 iii) 2y – z = 0 iv) 1x + 2y + 3z = 78 V) у- 2z %3D0 vi) 500x + 700(2y) + 850(3z) = 52500 a) ii, iv, v b) i, iii, vi c) i, ii, v d) i, ii, i e) ii, iv, vi f) none of these 13) Find the number of 2-bedroom units that were occupied. a) 36 b) 15 c) 16 d) 30 e) 72 f) none of these

(12 and 13) An apartment complex rents 1-bedroom, 2-bedroom, and 3-bedroom units, and charges $500, $700, and $850, respectively, per unit for monthly rent. One month, a total of 78 units were occupied, and the total revenue from rent was $52,500. If twice as many 2-bedroom units were occupied as 3-bedroom units, how many units of each type were occupied? 12) Let x represent the number of 1-bedroom units that were occupied, y represent the number of 2-bedroom units that were occupied, and z represent the number of 3-bedroom units that were occupied. Which 3 equations below form the system of equations that can be used to solve this problem? i) x+ y + z = 78 ii) 500x + 700y + 850z = 52500 iii) 2y – z = 0 iv) 1x + 2y + 3z = 78 V) у- 2z %3D0 vi) 500x + 700(2y) + 850(3z) = 52500 a) ii, iv, v b) i, iii, vi c) i, ii, v d) i, ii, i e) ii, iv, vi f) none of these 13) Find the number of 2-bedroom units that were occupied. a) 36 b) 15 c) 16 d) 30 e) 72 f) none of these

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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