A lawn chair company has a monthly fixed cost of $1,050. It costs $45 to manufacture each chair.What is the company’s monthly cost equation?

Sure, let's break it down step by step.

1. Identify the fixed cost: The fixed cost is the cost that does not change with the number of chairs produced. In this case, the fixed cost is $1,050 per month.

2. Identify the variable cost per unit: The variable cost is the cost that changes with the number of chairs produced. Here, it costs $45 to manufacture each chair.

3. Define the number of chairs produced: Let $x$ represent the number of chairs produced in a month.

4. Formulate the total cost equation: The total cost $C$ is the sum of the fixed cost and the variable cost. The variable cost is the cost per chair multiplied by the number of chairs produced.

So, the total cost equation $C$ can be written as: $C = \text{Fixed Cost} + (\text{Variable Cost per Chair} \times \text{Number of Chairs})$

Substitute the given values: $C = 1050 + (45 \times x)$

Therefore, the company’s monthly cost equation is: $C = 1050 + 45x$