Question

Refer to Short Exercise S19-10. Haworth desires a 20% target operating income after covering all costs. Considering the total costs assigned to the Client 76 job in Short Exercise S19-10, what would Haworth have to charge the customer to achieve that operating income? Round to two decimal places.

Short answer

For targeted operating income service charge should be $20,343.75

Step-by-step solution

Calculation of cost percent to service charge

Targeted operating income is 20%

So, the cost to sales percent should be

$$\begin{gathered} \mathbf{cost}\mathbf{-}\mathbf{sales}\mathbf{}\mathbf{percent}\mathbf{=}\mathbf{100}\mathbf{-}\mathbf{operating}\mathbf{}\mathbf{income}\mathbf{}\mathbf{percent} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{100}\mathbf{-}\mathbf{20} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{80}\mathbf{\%} \end{gathered}$$

Calculation of service charge

$$\begin{gathered} \mathbf{service}\mathbf{}\mathbf{charge}\mathbf{}\mathbf{=}\frac{\mathbf{total}\mathbf{}\mathbf{cost}}{\mathbf{cost}\mathbf{-}\mathbf{saless}\mathbf{}\mathbf{percent}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{16}\mathbf{,}\mathbf{275}}{\mathbf{0}\mathbf{.}\mathbf{8}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{20}\mathbf{,}\mathbf{343}\mathbf{.}\mathbf{75} \end{gathered}$$