A manufacturer sells belts for \( \$ 15 \) per unit. The fixed costs are \( \$ 1600 \) per month, and the variable cost per unit is \( \$ 11 \). (a) Write the equations of the revenue \( R(x) \) and cost \( C(x) \) functions. \( R(x)=\square \) \( C(x)=\square \)

To write the equations for the revenue \( R(x) \) and cost \( C(x) \) functions, we need to define \( x \) as the number of units sold. 1. **Revenue Function \( R(x) \)**: The revenue is calculated by multiplying the price per unit by the number of units sold. Given that the manufacturer sells belts for \( \$ 15 \) per unit, the revenue function is: \[ R(x) = 15x \] 2. **Cost Function \( C(x) \)**: The cost consists of fixed costs and variable costs. The fixed costs are \( \$ 1600 \) per month, and the variable cost per unit is \( \$ 11 \). The total cost function can be expressed as: \[ C(x) = \text{Fixed Costs} + \text{Variable Cost per Unit} \times \text{Number of Units} \] Therefore, the cost function is: \[ C(x) = 1600 + 11x \] In summary: \[ R(x) = 15x \] \[ C(x) = 1600 + 11x \]