posted by joe

A real estate developer would like to analyze his revenue,cost and profit for a specific hosing project that is under construction.last month he sold 20 large houses for m\$ 250000 and 10 small houses for \$150000.The cost build large houses was c(x)=56000x+50000x+1000x^2
and small homes was c(x)=36000+36000x+750x^2

a) write down the revenue equation for large homes and find the profit equation
b)find the marginal profit for both large and small homes if they were to sell one additional homes
c)graph both cost and revenue for large homes

1. Steve

If there are x large and y small homes, then

R(x,y) = 250000x + 150000y
The cost is
C(x,y) = (56000x+50000x+1000x^2)+(36000+36000y+750y^2)

The profit is thus
P(x,y) = R(x,y)-C(x,y)

If you just want figures for large homes, set y=0.

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