Ben makes only tables and chairs at his wood-making shop. • Ben is not able to make more than 500 pieces of furniture per month.
• Ben needs to make more chairs than tables.
Ben needs to make at least 25 tables and 100 chairs each month.
Let x represent the number of tables and y the number of chairs they make per month.
Please help

What is the maximum number of chairs and tables Ben can make in a month.

Maximum number of tables he can make per month = 100 tables

Maximum number of chairs he can make per month = 400 chairs

Step-by-step explanation:

He is not able to make more than 500 pieces of furniture per month

Also, he needs to make at least 25 tables and at least 100 chairs each month.

x is number of tables and y is number of chairs per month.

Thus, inequality to represent this is;

x + y ≤ 500

Constraints are;

x ≥ 25

y ≥ 100

Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs

Thus, ratio of tables to chairs should always be 1:4

Thus,

Maximum number of tables per month = 1/5 × 500 = 100 tables

Maximum number of chairs per month = 4/5 × 500 = 400 chairs

a negative exponent is translated as follows:

so, we have