Question

The expression, 20(4x) + 500, represents the cost in dollars of the materials and labor needed to build a square fence with side length x feet around a playground. What is the meaning of the coefficient 20?

Answer 1

20 represent the cost per variable inputs

Explanation:

C(x) = 20(4x) + 500

Total cost is the addition of variable cost and fixed cost

Fixed cost are cost that do not change during the production process such as machinery, furnitures and fittings.

Variable cost are cost of production that changes with production process such as cost of labor, cost of raw materials.

C(x) = 20(4x) + 500

C(x) represent the total cost

20(4x) represent the variable cost

500 represent the fixed cost

From the variable cost 20(4x)

20 represent the cost per variable inputs