Question 1

Explanation

Delivery Period Analysis

April $2023$ has a total of $30$ days. The first delivery was made on April $1$, which corresponds to day $1$. We need to calculate how many times suppliers A and B delivered goods within that $30$-day period.

The delivery schedule follows an Arithmetic Progression pattern with the first term $a = 1$ (first delivery date) and common difference $b$ corresponding to each supplier's interval. The condition for the delivery date is $U_n \le 30$.

Cooking Oil A Volume

Supplier A delivers every $3$ days.

Thus, supplier A delivers $10$ times.

Total volume A:

Cooking Oil B Volume

Supplier B delivers every $4$ days.

Thus, supplier B delivers $8$ times.

Total volume B:

Combined Total Volume

Therefore, the total volume of cooking oil brands A and B received is $220$ liters.