#$1$ Given is a CPM project network diagram as shown below.

ActivityStartABCDEFGHEnddays$0242436330$

a$)$ The Project Completion time $=?.$ days

b$)$ The Earliest Start time, ES$,$ of Activity G $=?$days

c$)$ The Latest Finish time, LF$,$ of Activity C $=?$ days

d$)$ The critical activities are $=?($ex$.$ Fill in answer as: ABCD$)$

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#$2$ In a job shop, effective capacity is only $52$ percent of design capacity, and actual output is $62$ percent of effective output. What design capacity would be needed to achieve an actual output of $11$ jobs per week? What is its effective capacity?

a$.$ The Design Capacity needed to achieve the required actual job outputs $=?($round to whole number$)$

b$.$ The Effective Capacity needed to achieve the required actual job outputs $=?($round to whole number$)$

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#$3$ A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists.$$The primary location being considered will have fixed costs of$$$$11,200$per month and variable costs of$$$$0\mathrm{.}73$per unit produced. Each item is sold to retailers at a price that averages$$$$0\mathrm{.}93$

a$)$ The volume per month is required in order to break even $=$Question Blank $1$ of $4($in whole number$)$

b$)$ The profit or loss would be realized on a monthly volume of $61,000$ units $=$Question Blank $2$ of $4$

c$)$ The volume is needed to obtain a profit of $$16,000$ per month $=?($in whole number$)$

d$)$ The volume is needed to provide revenue of $$23,000$ per month $=?($in whole number$)$

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$$#$4$

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 will have the following cost structures as shown in the table. The producer knows there is a big order or order contract that will be awarded by the giant retail WalWal. The producer is not certain as what capacity production is to produce. It all depends on WalWal's contract. The producer has also been informed, the first batch of pottery is required to ship in a very tight time frame from the first production run. The producer decides to plan ahead and select the best production process to set up for manufacturing.

$$Process $1$Process $2$Process $3$Ann. Fixed Cost $$2,8914,89810,014$variable cost $$/$unit$0\mathrm{.}910\mathrm{.}650\mathrm{.}51$

The producer wants you to help them to identify at what range of production quantity $($Q$)$ for Process $1,$ Process $2,$ and Process $3$ is best to adopt.

Enter Q range with whole number and use signs such as $<=$ and $>=$ to describe greater or less than equal to$.$ Ex$.1234<$ Q $<=5678$

a$)$ The range of annual Q for which Process $1$ is best to use is:$?$

b$)$ The range of annual volume for which Process $2$ is best to use is:$?$

c$)$ The range of annual volume for which Process $3$ is best to use is:$?$