Montrose Instrumentation produces measurement equipment. One component, used in a variety of the company's products, is critical and the supply chain often breaks. For that reason, Montrose has a policy to hold in inventory enough of the component to produce three month's worth of sales $($one component is used in each unit of product in which it is used$).$ On February $1,$ the company has $35,000$ components in stock. Sales of the units in which the component is used in each of the next six months are estimated to be as follows:

February $33,500$

March $27,500$

April $29,000$

May $34,550$

June $31,150$

July $43,110$

Parts are purchased at a wholesale price of $$50.$ The vendor has a financing arrangement by which Montrose pays $40$ percent of the purchase price in the month when the components are delivered and $60$ percent in the following month. Montrose purchased $40,000$ parts in January.

Required:

Estimate purchases of the component $($in units$)$ for February and March.

Estimate the cash disbursements for the component in February and March.