Monroe County is attempting to figure out where to put the region fire station. The areas of the province's four significant towns are given in Figure 31. Town 1 is at (10, 20); town 2 is at (60, 20); town 3 is at (40, 30); town 4 is at (80, 60). Town 1 midpoints 20 flames each year; town 2, 30 flames; town 3, 40 flames; and town 4, 25 flames. The province needs to fabricate the fire station in an area that limits the normal distance that a fire motor should head out to react to a fire. Since most streets run in either an east-west or a north-south course, we expect that the fire motor can just do likewise. In this manner, if the fire station were situated at (30, 40) and a fire happened at town 4, the fire motor would need to travel (80 30) (60 40) 70 miles to the fire. Utilize direct programming to figure out where the fire station ought to be found. (Clue: If the fire station is to be situated at the point (x, y) and there is a town at the point (a, b), characterize factors e, w, n, s (east, west, north, south) that fulfill the conditions x a w e and y b n s. It should now be not difficult to get the right LP plan.)

The state and nearby police divisions are attempting to investigate crime percentages so they can move their watches from diminishing rate regions to regions where rates are expanding. The city and region have been topographically sectioned into regions containing 5,000 homes. The police perceive that not all violations and offenses are accounted for: individuals would prefer not to get included, consider the offenses too little to even think about announcing, are too humiliated to even consider making a police report, or don't take the time, among different reasons. Consistently, along these lines, the police are reaching by telephone an arbitrary example of 800 of the 5,000 homes for information on wrongdoing. (Respondents are ensured namelessness.) Here are the information gathered for as far back as a year for one region:

Month

Episodes

Test Size

January

13

800

February

7

800

Walk

12

800

April

8

800

May

13

800

June

7

800

July

8

800

Regal

12

800

September

10

800

October

14

800

November

10

800

December

;5;

8

800

a. Decide the , ,UCL and LCL for a p-diagram of 95% certainty (at Z = 1.96)

b. Plot the P-diagram

c. On the off chance that the following three months show wrongdoing occurrences in this space as

January = 10 (out of 800 inspected)

February = 12 (out of 800 inspected)

Walk = 11 (out of 800 inspected)

Do you think the interaction is leveled out?

Figure complete yearly expense for the elective providers for a

item with following attributes:

montly request; mean: 5000, standard deviation 2000

Holding cost: 30%

Cycle administration level: 98%

Utilizing EOQ equation, discover the part size. Remember to add requesting cost to the absolute expense!

Provider 1 Supplier 2 Supplier 3

Requesting Cost(per request ) 1000 2000 5000

Cost 10 9 8

Normal Lead Time ( month ) 0.5 2 2

Lead time sexually transmitted disease deviation ( month ) 0.5 1 2