One of AMI Ltd$\text{'}$s products is a well$-$known brand of wood glue, which the company packages and sells in two different sizes of container, $250$ ml and $500$ ml$.$ Budgeted sales of each product next year are $60,000$ and $25,000$ containers of $250$ ml and $500$ ml respectively. Inventories at the beginning of the year are $8,000250$ ml and $7,000500$ ml containers and, at the end of the year, it is anticipated that closing inventories will be $6,000250$ ml and $4,500500$ ml containers. After reviewing the budgets, however, management now wishes to effect an inventories reduction for each product of $3,000$ containers by the end of the current year. What will AMI Ltd$\text{'}$s budgeted production quantities for the year be$?$

a$.$

$65,000250$ ml and $30,500500$ ml containers

b$.$

$55,000250$ ml and $19,500500$ ml container

c$.$

$71,000250$ ml and $33,500500$ ml containers

d$.$

$49,000250$ ml and $16,500500$ ml containers