A company requires a supplier to deliver to it $600$ units per week of a component

that is needed for production. Each component that the company purchases from its

supplier costs $51.$ The company estimate that their internal costs associated with

making an order to the supplier are $77$ and that the storage costs associated with

keeping one component in stock before it is used in production are $2\mathrm{.}20$ per month.

The current interest rate is $6\%$ per year and the company operates $52$ weeks a year.