Question: A large apartment building is to be built using modular construction techniques. The arrangement of apartments on any floor is to be chosen from one

A large apartment building is to be built using modular construction techniques. The arrangement of apartments on any floor is to be chosen from one of three basic floor plans. Plan A has 18 apartments on one oor, including 3 three-bedroom units, If two-bedroom units, and 8 one-bedroom units. Each floor of plan B includes 4 three-bedroom units, 4 two-bedroom units, and 8 one- bedroom units. ' Each floor of plan C includes 5 three-bedroom units, 3 two-bedroom units, and 9 one- bedroom units. Suppose the building contains a total of x1 floors of plan A, x2 floors of plan B, and x3 floors of plan C. 1. Write an equation that expresses the total number of three-bedroom units in the building. Use bl to represent the total number of three-bedroom units in the building. 2. Write an equation that expresses the total number of two-bedroom units in the building. Use b2 to represent the total number of two-bedroom units in the building. 3. Write an equation that expresses the total number of one-bedroom units in the building. Use b3 to represent the total number of one-bedroom units in the building. 4. Write a system of equations that expresses a building has 66 three-bedroom apartments . 74 two-bedroom units. and 136 one-bedroom units 5. Is it possible to design the building with exactly 66 three-bedroom apartments , "f4 two- bedroom units, and 136 one-bedroom units? Explain and if so, what arrangement can be found ? 6. Is there more than one way to design the building with exactly 66 three-bedroom apartments . 74 two-bedroom units. and 136 one-bedroom units? Explain and if so. find a second arrangement

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