Landen Corporation uses a job$-$order costing system. At the beginning of the year, the company made the following estimates:

$\backslash$table$[[$Direct labor$-$hours required to support estimated production,$75,000],[$Machine$-$hours required to support estimated production,$37,500],[$Fixed manufacturing overhead cost,$$225,000$

Assume that Landen's controller believes that machine$-$hours is a better allocation base than direct labor$-$hours. Under this approach:

a$.$ Compute the plantwide predetermined overhead rate.

b$.$ Compute the total manufacturing cost of Job $550.$

c$.$ If Landen uses a markup percentage of $200\%$ of its total manufacturing cost, what selling price would it establish for Job $550?($Round your intermediate calculations to $2$ decimal places. Round your Predetermined Overhead Rate answers to $2$ decimal places and all other answers to the nearest whole dollar.$)$

$\backslash$table$[[1.$ Direct labor$-$hours:,,$],[1$a$.$ Predetermined overhead rate,,,er DLH$],[1$b$.$ Total manufacturing cost of Job $550,,],[1$c$.$ Selling price,,per MH$],[2.$ Machine$-$hours:,,$],[2$a$.$ Predetermined overhead rate,,$],[2$b$.$ Total manufacturing cost of Job $550,,],[2$c$.$ Selling price,,$]]$