An online furniture store sells chairs for $100 each and tables for $400 each. The store must sell no less than $5400 worth of chairs and tables each day

Question

Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answer 1

Using t and c as variables, we get

100c + 400t ≥ 5400

Simplified,

100(c + 4t) ≥ 5400

c + 4t ≥ 54

To find the minimum number of chairs that need to be sold, we evaluate using t = 0

c + 4(0) ≥ 54

c ≥ 54

To find the minimum number of tables that need to be sold, we evaluate using c = 0

(0) + 4t ≥ 54

4t ≥ 54

t ≥ 13.5 Since we can't purchase half a chair, we round up our result giving us t ≥ 14

Answer 2

100c + 400t ≥ 5400