Which of the following is NOT an assumption of the Basic Economic Order Quantity $($EOQ$)$ model?

A$.$ Infinite time horizon.

B$.$ Backorders are allowed.

C$.$ Demand is known with certainty.

D$.$ There is no inflation.

E$.$ The order size can be very large.

East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. Apply the center of gravity method, where should build the processing center?

$\backslash$table$[[,$X$-$coordinate,Y$-$coordinate,Volume$],[$Athens$,$ Texas,$30,30,150],[$Beaumont$,$ Texas,$20,10,350],[$Carthage$,$ Texas,$10,70,100],[$Denton$,$ Texas,$50,50,400]]$

A$.x=28\mathrm{.}125$;$Y=31\mathrm{.}25$

B$.x=32500$;$Y=35000$

C$.x=32\mathrm{.}5$;$Y=35$

D$.x=27\mathrm{.}5$;$Y=40$

$7.$ What is the expected failure cost of a system with a reliability of $85\%$ and cost per failure of $$10,000?$

A$.$ $$85,000$

B$.$ $$0$

C$.$ $$1,500$

D$.$ $$10,000$

E$.$ $$8,500$

$8.$ The number of defects after a hotel room cleaning $($sheets not straight, smears on mirror, missed debris on carpet, etc.$)$ should be measured using what type of control chart?

A$.x-$bar chart

B$.$ R$-$chart

C$.$ p$-$chart

D$.$ c$-$chart

E$.$ either $x-$bar chart or $R$ chart