Question

an online furniture store sells chairs for $100 each and tables for $300 each. every day, the store can ship a maximum of 48 pieces of furniture and must sell a minimum of $9200 worth of chairs and tables. if 20 chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements.

Explanation:

Step1: Calculate revenue from 20 chairs

$\text{Revenue from chairs} = 20 \times 100 = 2000$

Step2: Find required table revenue

$\text{Required table revenue} = 9200 - 2000 = 7200$

Step3: Calculate minimum tables needed

$\text{Minimum tables} = \frac{7200}{300} = 24$

Step4: Check shipping limit

$\text{Total pieces} = 20 + 24 = 44$, which is $\leq 48$

Answer:

24