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Delvig [45]
3 years ago
11

Consider a single-server queuing system. If the arrival rate is 82 units per hour, and each customer takes 36 seconds on average

to be served, what is the average # of customers in the line? Round to whole person.
Business
1 answer:
Tanzania [10]3 years ago
6 0

Answer:

The average # of customers in the line is 4.

Explanation:

arrival rate, x = 82/3600

                      = 0.023

service rate, y = 1/36

                        = 0.028

utilisation, p = x/y

                    = 0.023/0.028

                    = 0.821

average number of costomers = p^2/[1 - p]

                                                   = (0.821)^2/[1 - 0.821]

                                                   = 3.75

Therefore, The average # of customers in the line is 4.

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Answer: B. The capital gains yield is positive.

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"The Marlene Doll Co. uses a process costing system. Consider the following data for Dept. A. UNITS: W-1-P Nov. 1: 8,000 units,
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Answer:

The Marlene Doll Co.

Weighted-AVerage Method

Cost of production:

COSTS: W-1-P Nov. 1:                    $9,600         $4,800

Costs added in November:           15,600         14,400

Total costs for the month          $25,500       $19,200

Equivalent units of production:

                                       Units   Materials  Conversion

Transferred to Dept B: 12,000     12,000        12,000

W-1-P Nov. 30:               6,000       6,000         3,000

Equivalent units                            18,000        15,000

Cost per equivalent units:

                                            Materials    Conversion

Total costs for the month   $25,500       $19,200

Equivalent units                      18,000         15,000

Cost per equivalent unit       $1.42           $1.28

Costs assigned to:

Units Transferred to Dept B:  $17,040      $15,360              $32,400

                                     (12,000 *$1.42)     (12,000 * $1.28)  

W-1-P Nov. 30:                           8,520           3,840                 12,360

                                     (6,000 *$1.42)     (3,000 * $1.28)

Total costs assigned           $25,560       $19,200              $44,760

 

FIFO Method

Equivalent units of production:

                                                Units   Materials  Conversion

W-1-P Nov. 1:                           8,000      0 (0%)        2,000  (25%)

Units started & completed: 10,000     10,000        10,000

W-1-P Nov. 30:                       6,000      6,000         3,000

Equivalent units                                   16,000        15,000

Cost per equivalent units:

                                            Materials    Conversion

Total costs for the month    $15,600         14,400

Equivalent units                      16,000        15,000

Cost per equivalent unit       $0.975        $0.96

Costs assigned this month to:

Work-in-Process                      $0                 $1,920                $1,920

                                     (0 *$0.975)         (2,000 * $0.96)  

Units completed                      $9,750        $9,600              $19,350

                                     (10,000 *$0.975)   (10,000 * $0.96)  

W-1-P Nov. 30:                           5,850           2,880                 8,730

                                     (6,000 *$0.975)    (3,000 * $0.96)

Total costs assigned            $15,600        $14,400            $30,000

Total costs of:

Units transferred out         $19,350       $16,320         $35,670

W-1-P Nov. 30:                       5,850           2,880              8,730

Total costs                        $25,200       $19,200         $44,400

Explanation:

a) Data and Calculations:

Dept. A. UNITS:

                                        Units   Materials  Conversion

W-1-P Nov. 1:                    8,000      100%           75%

Started in November:   10,000

Transferred to Dept B: 12,000      100%          100%

W-1-P Nov. 30:                6,000      100%           50%

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