Question $1$: Manufacturing process methods

$1\mathrm{.}1$ A production system is to run at a $1000$ units per month. Sales are forecast as shown in the table below. Calculate the expected period$-$end inventory. The opening inventory is $500$ units. All periods have the same number of working days.

$1\mathrm{.}2$A company wants to develop a level production plan for a family of products. The opening inventory is $600$ units, and a decrease to $200$ units is expected by the end of the plan. The demand for each of the months is given in table $1$ below.

a$.$ How much should the company produce each month?

b$.$ What will be the ending inventory in each month?

Table $1.$ Production planning for half the year

Question $2$: Production planning

A fleet of forklift trucks has an average travel distance per delivery of $600$ meters loaded and an average empty travel distance of $500$ meters. The fleet must make a total of $55$ deliveries $\backslash (/\backslash$mathrm$\{$hr$\}\backslash ).$ Load and unload times are each $0\mathrm{.}4$ min and the speed of the vehicles is $400$ meters $\backslash (/\backslash$mathrm$\{$min$\}\backslash ).$ The traffic factor for the system is $0\mathrm{.}93.$ Availability is $1\mathrm{.}0$ and worker efficiency is assumed to be $\backslash (100\backslash \%\backslash ).$ Determine:

$($a$)$ ideal cycle time per delivery,

$($b$)$ the resulting average number of deliveries per hour that a forklift truck can make, and $($c$)$ how many trucks are required to accomplish the specified number of deliveries per hour

The end.