Answer
The job cannot be done for $\$ 11,000.00$.
Work Step by Step
Consider Simpson's Rule:
$\int_a^b f(x) dx \approx \space T =\dfrac{\triangle x}{3}(y_0+4y_1+2y_2+4y_3+......+y_n)$
We need to plug in the data, so we get:
$A \approx \dfrac{15}{3}(0+4(36)+2(54)+4(51)+......+42) \\ \approx 6059 ft^2$
Now, the total cost is equal to:
$\dfrac{\$ 2.10}{ft^2} \times 6059 ft^2 = \$ 12723.90$
Thus, the job cannot be done for $\$ 11,000.00$
