Hamill Corporation has experienced a number of out$-$of$-$stock situations with respect to its finished$-$goods inventories. Inventory at the end of May, for example, was only $70$ units$$an all$-$time low.

Management desires to implement a policy whereby finished$-$goods inventory is $70\%$ of the following month's sales. Budgeted sales for June, July, and August are expected to be $5,400$ units, $6,000$ units, and $5,900$ units, respectively.

Required:

Determine the number of units that Hamill must produce in June and July.