A manager has prepared a forecast of expected aggregate demand for the next six months. Develop

a level aggregate production plan to meet this demand given this additional information: A level

production rate of $100$ units per month will be used. Backorders are allowed, and they are charged at

the rate of $$8$ per unit per month. Inventory holding costs are $$1$ per unit per month. Regular time

cost is $$20$ per unit and beginning inventory is zero.

$24.$ What is the total cost in the first month considering the above plan?

a$.2500$

b$.2010$

c$.2050$

d$.1900$

e$.2020$