You are given a data set representing the monthly sales of a retail store in different product categories. The sales data is stored in a matrix, where each row corresponds to a specific month, and each column corresponds to a different product category $($e$.$g$.,$ electronics, clothing, groceries, and furniture$).$

sales $=\left[\begin{array}{cccc}1200& 1500& 1100& 900\\ 1300& 1700& 1200& 950\\ 1100& 1400& 1150& 890\\ 1400& 1600& 1300& 1000\end{array}\right]$

The data corresponds to sales $($in dollars$)$ for $4$ months and $4$ product categories.

a$.$ MATLAB Code using Vectorized Operations:

Write MATLAB code using vectorized operations and appropriate functions to calculate the average monthly sales for each product category across all months. Your code should output a vector containing the average sales for each product category. For the provided 'sales' matrix, your result should be a vector like $[1200\mathrm{.}0,1475\mathrm{.}0,1212\mathrm{.}5,935\mathrm{.}0].$

b$.$ MATLAB Script with For Loop and Internal if$-$Statement:

Write a MATLAB script that accomplishes part a$)$ using a for loop and an internal ifstatement for the calculation. The script should take the 'sales' matrix as input and output the same vector containing the average sales for each product category.