Final answer:
To represent the situation when the cost of production for cheerleader bows is greater than or equal to the sales revenue, the inequality would be represented as 50 + 3.50x ≥ 5x, where x is the number of bows produced and sold.
Step-by-step explanation:
The question involves writing an inequality that represents the situation when the cost of production for cheerleader bows is greater than or equal to the amount of money earned from sales. The cost of production for Mia's Bows is $50.00 (fixed cost) plus $3.50 per bow. Each bow is sold for $5.00.
The cost function, C(x), is given by the fixed cost plus the variable cost per bow times the number of bows made, which is C(x) = 50 + 3.50x. The revenue function, R(x), is the selling price per bow times the number of bows sold, which is R(x) = 5x.
For the cost of production to be greater than or equal to the amount of money earned from sales, the inequality will be:
C(x) ≥ R(x)
50 + 3.50x ≥ 5x
This inequality will help us determine the number of bows that need to be sold in order for the company to at least break even or earn a profit.