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gladu [14]
3 years ago
13

It takes 3 minutes to load and 2 minutes to unload a machine. Inspection and packing times total 1 minute; travel between machin

es takes 2 minutes. Machines run automatically for 20 minutes. Operators cost $10 per hour; machines cost $30 per hour. Document all answers completely.
a) What is the ideal machine assignment
b) If three machines are assigned to an operator, what is the duration of the repeating cycle? Will any machine of operator experience idle time, if so how long?
c) What is the cost per unit produced if three machines are assigned to an operator?
Business
1 answer:
oksano4ka [1.4K]3 years ago
0 0

Answer:

(a) The ideal machine assignment time is 7 minutes

(b) Duration of the repeating cycle is 25 minutes. Yes, there will be idle operator time of 7 minutes

(c) Cost per unit produced if three machines are assigned to an operator is $13.88 per unit

Explanation:

Loading = 3 minutes

Unloading = 2 minutes

Run time = 20 minutes

Inspection and packing times = 1 minute

Operators cost $10 per hour

Machines cost $30 per hour

(a) Ideal machine assignment = Machine cycle time ÷ Operator time per machine

Here, Machine cycle time = run time + load time + unload time

= 20 + 3 + 2

= 25  minutes

Operator time per machine = load time + unload time + inspection and packing time = 3 + 2 + 1 = 6

Hence, Ideal machine assignment = 25 ÷ 6 = 4.166=4.17 machine

(b) The number of machine assigned is less than ideal machine assignment hence, Operator will be idle.

Duration of repeating cycle = loading time + unloading time + machine run time = 3+2+20 = 25 minutes

Idle operator time = Cycle time - (number of machines assigned × (load time+ unload time+ inspection and packaging time))= 25- [3×(3+2+1)]

=25-18

=7 minutes

(c) Total cost of per unit produced = ((cost per operator hour + number of machines assigned × cost of per machine hour) × ((loading & unloading time + machine run time)÷60) )) ÷ number of machine

=( (10+[3×30]) × ((3+2+20) ÷ 60)) ÷ 3

=(100 × .416) ÷ 3

= 25 ÷ 3

= $13.88 per unit.

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I would recommend it lower its price.

Explanation:

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6 0
3 years ago
Grand Lips produces a lip balm used for​ cold-weather sports. The balm is manufactured in a single processing department. No lip
77julia77 [94]

Answer:

a. see attachment

b.

total equivalent units : Materials = 30,500 units and Conversion Costs = 16,860

cost per equivalent unit : Materials = $0.14 and Conversion Costs = $0.30

c.

(a) units completed and transferred to Finished Goods = $6,732

(b) units still in process at June 30 = $1,196

d.

<u>Journals</u>

Work In Process :Direct Materials $4,305 (debit)

Raw Materials $4,305 (credit)

<em>Being Raw Materials used in Production</em>

Work In Process :Direct Labor  $3,320 (debit)

Salaries Payable $3,320  (credit)

<em>Being Labor used in Production</em>

Work In Process ; Overheads $1,738 (debit)

Overheads $1,738 (credit)

<em>Being Overheads Assigned to Production</em>

Finished Goods $6,732 (debit)

Work In Process $6,732 (credit)

<em>Being Units transferred to Finished Goods</em>

Explanation:

<u>Calculation of Equivalent units of Production in respect with Raw Materials and Conversion Costs</u>

1. Materials

Ending Work In Process (5,200 × 100%)                                         5,200

Completed and Transferred Out (15,300 × 100%)                         15,300

Equivalent units of Production in respect with Raw Materials     30,500

2. Conversion Costs

Ending Work In Process (5,200 × 30%)                                            1,560

Completed and Transferred Out (15,300 × 100%)                         15,300

Equivalent units of Production in respect with Conversion Cost 16,860

<u>Calculation of Cost per Equivalent unit of production  in respect with Raw Materials and Conversion Costs</u>

Unit Cost = Total Cost ÷ Total Equivalent units

1. Materials

Unit Cost =  $4,305 ÷ 30,500

                = $0.14

2. Conversion Costs

Unit Cost =  ($3,320 + $1,738) ÷ 16,860

                = $0.30

3. Total unit cost

Total unit cost = Material Cost + Conversion Cost

                        = $0.14 + $0.30

                        = $0.44

<u>Calculation of costs assigned to (a) units completed and transferred to Finished Goods and (b) units still in process at June 30.</u>

(a) units completed and transferred to Finished Goods

Total Cost = units completed and transferred out × total unit cost

                 = 15,300 × $0.44

                 = $6,732

(b) units still in process at June 30.

Total Cost = Materials Cost + Conversion Cost

                 = $0.14 × 5,200 + $0.30 × 1,560

                 = $1,196

8 0
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If the rate of inflation is 2.2% per year, the future price pt (in dollars) of a certain item can be modeled by the following ex
postnew [5]

Answer:

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Explanation:

The computation of the current price of the item and the price 9 years from today is shown below:-

p(t) = 1,200 × (1.039)^t

Now, the current price can be found by putting t = 0

p(0) is

1,200\times (1.039)^0 = $1,200

The price 10 years from today

p(9) is

1,200\times (1.039)^9

Now we will solve the above equation

= 1,200 × 1.411041958

= 1693.25035

or

= 1693.25

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