A sales budget is given below for one of the products manufactured by the OMICo.

The inventory of finished goods at the end of each month must equal $25\%$ of the next month's sales.

This requirement had been met on January $1$ of the current year.

Each unit of product requires three kilograms of specialized material. Since the production of this

specialized material by OMI's suppliers is sometimes irregular, the company has a policy of maintainin

an ending inventory at the end of each month equal to $30\%$ of the next month's production needs. This

requirement had been met on January $1$ of the current year. The estimated cost per kilogram of raw

materials is $$3\mathrm{.}00.$

Required: Show all your computations and label your answers

a$)$ Prepare a detailed production budget for January, February, and March, and in total for the

quarter.

b$)$ Prepare a detailed budget showing the quantity of materials to be purchased in kiloyrams and in

dollars for January, February, and March, and in total for the quarter.