Question

An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship at most 30 pieces of furniture and must sell a minimum of $6100 worth of chairs and tables. If 27 chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements

Answer 1

To meet the requirements, the store must sell a minimum of 6 tables.

Step-by-step explanation:

To determine the minimum number of tables that the store must sell in order to meet the requirements, we need to consider the total value of the chairs sold and the maximum value of the tables sold.

The total value of the chairs sold is calculated by multiplying the price of each chair by the number of chairs sold. In this case, 27 chairs were sold at $150 each, so the total value of the chairs sold is $150 * 27 = $4050.

The remaining value that needs to be met in order to reach the minimum of $6100 is found by subtracting the total value of the chairs sold from the minimum requirement: $6100 - $4050 = $2050.

The maximum value of the tables sold can be calculated by dividing the remaining value by the price of each table. In this case, the price of each table is $350, so the maximum number of tables that need to be sold is $2050 / $350 = 5.857. Since we cannot sell a partial table, the store must sell a minimum of 6 tables in order to meet the requirements.