If Okanogan Homes Inc. must net a total profit of $2,500,000 from this housing development, how many of each type of condo should they build?

Question

Okanogan Homes Inc. is planning to build standard and luxury condos in a

housing development called Quail Feather Estates. Public demand

indicates a need for three times as many standard condos as luxury condos.

The profit from each standard condo is $6000 and each luxury condo brings

in $7000. If Okanogan Homes Inc. must net a total profit of $2,500,000

from this housing development, how many of each type of condo should

they build?

This needs to be done using systems of linear equations

Answer 1

The numbers do not come out even because there is an additional constraint of number of condos of either type must be a whole number.

Var Description Profit

x Standard Condo 6000

3x Luxury Condo 7000

Equation:

6000 * x + 7000 * 3x = 2500000

6000x + 21000x = 2500000

27000x = 2500000

2500 / 27 = x

Standard Condo = 92.59259

Luxury Condo = 277.7778

Two possible Solutions:

92 Standard + 279 Luxury = 2505000 profit

93 Standard + 278 Luxury = 2504000 profit