A commanding officer (CO) has been tasked to move the battalion out into the field for a major exercise. The CO has been informed that only a maximum of 100 vehicles is allowed, each to be used for a single round trip. There are two types of vehicles available to the CO, a Mack vehicle that can carry 24 m3 and a Mercedes vehicle that can carry 16 m3. The Mack vehicle is estimated to use 50 L of fuel on a round trip, whereas the Mercedes vehicle will only use 25 L of fuel per round trip. The battalion has a total of 4000L of fuel available. The vehicles will require maintenance after each round trip; each Mack vehicle requires 3 hours and each Mercedes 9 hours. The maintenance squadron has 720 hours available. If x is the number of Mack vehicles to be used, and y is the number of Mercedes vehicles to be used, which of the following items is the constrain related to Number limit on vehicles?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A commanding officer (CO) has been tasked to move the battalion out into the field for a major exercise. The CO has been informed that only a maximum of 100 vehicles is allowed,
each to be used for a single round trip. There are two types of vehicles available to the CO, a Mack vehicle that can carry 24 m3 and a Mercedes vehicle that can carry 16 m3. The Mack
vehicle is estimated to use 50 Lof fuel on a round trip, whereas the Mercedes vehicle will only use 25 L of fuel per round trip. The battalion has a total of 4000 L of fuel available. The
vehicles will require maintenance after each round trip; each Mack vehicle requires 3 hours and each Mercedes 9 hours. The maintenance squadron has 720 hours available. If x is the
number of Mack vehicles to be used, and y is the number of Mercedes vehicles to be used, which of the following items is the constrain related to Number limit on vehicles?
O a. 2x + y >= 100
O b. x+ 2y <= 100
O c. x+y <= 100
O d. x+ y >= 100
Transcribed Image Text:A commanding officer (CO) has been tasked to move the battalion out into the field for a major exercise. The CO has been informed that only a maximum of 100 vehicles is allowed, each to be used for a single round trip. There are two types of vehicles available to the CO, a Mack vehicle that can carry 24 m3 and a Mercedes vehicle that can carry 16 m3. The Mack vehicle is estimated to use 50 Lof fuel on a round trip, whereas the Mercedes vehicle will only use 25 L of fuel per round trip. The battalion has a total of 4000 L of fuel available. The vehicles will require maintenance after each round trip; each Mack vehicle requires 3 hours and each Mercedes 9 hours. The maintenance squadron has 720 hours available. If x is the number of Mack vehicles to be used, and y is the number of Mercedes vehicles to be used, which of the following items is the constrain related to Number limit on vehicles? O a. 2x + y >= 100 O b. x+ 2y <= 100 O c. x+y <= 100 O d. x+ y >= 100
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