To solve this problem, we need to compute the additional revenue generated from selling one more doghouse, given that 110 doghouses have already been sold. We'll go through this step-by-step.
1. Determine the current revenue:
- We are given that 110 doghouses have been sold.
- The revenue increase for each doghouse sold is $1400.
The current revenue for 110 doghouses is calculated by multiplying the number of doghouses sold by the revenue per doghouse:
[tex]\[
R(110) = 110 \times 1400 = 154000 \text{ dollars}
\][/tex]
2. Calculate the revenue if one more doghouse is sold:
- If one additional doghouse is sold, the total number of doghouses sold becomes 111.
The new revenue for 111 doghouses is:
[tex]\[
R(111) = 111 \times 1400 = 155400 \text{ dollars}
\][/tex]
3. Find the additional revenue from selling one more doghouse:
- The additional revenue is the difference between the revenue from selling 111 doghouses and the revenue from selling 110 doghouses.
[tex]\[
\Delta R = R(111) - R(110) = 155400 - 154000 = 1400 \text{ dollars}
\][/tex]
Therefore, the additional revenue from selling one more doghouse when 110 doghouses have already been sold is 1400 dollars.
