Let's assume you are using simple smoothing constant with smoothing constant $=5.$ At the end of period $12,$ your forecast for period $13$ is $50.$ Actual sales in periods $13$ to $18$ are constant at $100.$ Compute forecasts for periods $14$ to $19.$ If sales always stay at $100,$ will the forecast ever be equal to sales? Will the forecasts ever exceed sales?

Any increase in efficiency also increases utilization. Although the upper limit on efficiency is $100\%,$ what can be done to achieve still higher levels of utilization?

In a job shop, effective capacity is only $50$ percent of design capacity, and actual output

is $80$ percent of effective output. What design capacity would be needed to achieve an

actual output of eight jobs per week?

A producer of pottery is considering the addition of a new plant to absorb the backlog of

demand that now exists. The primary location being considered with have fixed costs of

$$9,200$ per month and variable costs of $70$ cents per unit produced. Each item is sold to

retailers at a price that averages $90$ cents.

a$.$ What volume per month is required in order to break even?

b$.$ What profit would be realized on a monthly volume of $61,000$ units? $87,000$ units?

c$.$ What volume is needed to obtain a profit of $$16,000$ per month?

d$.$ What volume is needed to provide a revenue of $$23,000$ per month?