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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?

Question

A lawn chair company has a monthly fixed cost of 1,050.Itcosts1,050. It costs 45 to manufacture each chair.What is the company’s monthly cost equation?

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Solution

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 x represent the number of chairs produced in a month.

  4. Formulate the total cost equation: The total cost C 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 C can be written as: C=Fixed Cost+(Variable Cost per Chair×Number of Chairs) C = \text{Fixed Cost} + (\text{Variable Cost per Chair} \times \text{Number of Chairs})

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

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

This problem has been solved

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