An office building containing 96,000 square feet of space is to be made into apartments. There will be at most 15 one-bedroom units, each with 800 square feet of space. The remaining units, each with 1200 square feet of space, will have two bedrooms. Rent for each one-bedroom unit will be $650 and for each two-bedroom unit will be $900. Let x represent the number of one-bedroom apartments and y represent the number of two-bedroom apartments. Which system of inequalities represents the number of apartments to be built?

Question

a. x>_15, y>_0,650x +900y<_96,000
b. x<_15, y>_0, 800x + 1200y>_96,000
c. x<_650, y<_900, 800x+1200y<_96,000
d. x<_15, y>_0,800x+1200y<_96,000

Answer 1

I don't understand your symbols, but d looks right.

Answer 2

Thanks you were a great help