Given:
Schaum's earnings in a month =
![x^4+16x](https://img.qammunity.org/2022/formulas/mathematics/high-school/ufakglwwrakrzl5n3l9td4935hs9qml7df.png)
His wife's earnings in a month =
![3x^4+11x](https://img.qammunity.org/2022/formulas/mathematics/high-school/g5geyotz1gny5tpthrd7wu8a9zcnxd42qw.png)
Where x is the number of working days in a month.
To find:
The total earnings in a month.
Solution:
We know that,
Total earnings = Schaum earnings + His wife's earnings in a month
![=x^4+16x+3x^4+11x](https://img.qammunity.org/2022/formulas/mathematics/high-school/7auko5qdcbz2ke5peiwsm5dc2s0m31dqq5.png)
![=(x^4+3x^4)+(16x+11x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/5ocj3yksdngggx7qurzwasrmwogg7u1uz4.png)
![=4x^4+27x](https://img.qammunity.org/2022/formulas/mathematics/high-school/jsf08yvdjjevikpjpf0kzc7qusnh3eqvtd.png)
Therefore, the correct option is A.