Front Page Video Games Corporation has forecasted the following monthly sales:

The firm sells its Last Spike video game for $$5$ per unit, and the cost to produce the game is $$2$ per unit. A level production policy is

followed. Each month's production is equal to annual sales $($in units$)$ divided by $12.$

Of each month's sales, $30$ percent are for cash and $70$ percent are on account. All accounts receivable are collected in the month after

the sale is made.

a$.$ Construct a monthly production and inventory schedule in units. Beginning inventory in January is $20,000$ units. $($Note: To do part a$,$

you should work in terms of units of production and units of sales.$)($Enter all values as positive value.$)$