A company wants to develop a level production plan. The beginning inventory is zero. Demand

for the next four periods is given in what follows.

a$.$ What production rate per period will give zero inventory at the end of period $4?$

$(2$ points$)$

b$.$ When and in what quantities will backorders occur? Complete the table and show all

calculations.

$(4$ points$)$

Period $1234$ Total

Forecast Demand $61645754$

Planned Production

Planned Inventory $0$

c$.$ What is the minimum level production rate per period that will avoid backorders? What

will be the ending inventory in period $4?$ Complete the table and show all calculations.

$(4$ points$)$

Period $1234$ Total

Forecast Demand $61645754$

Planned Production

Planned Inventory $0$