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Test: Inventory Control Level - 3 - Mechanical Engineering MCQ


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18 Questions MCQ Test Industrial Engineering - Test: Inventory Control Level - 3

Test: Inventory Control Level - 3 for Mechanical Engineering 2024 is part of Industrial Engineering preparation. The Test: Inventory Control Level - 3 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Inventory Control Level - 3 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inventory Control Level - 3 below.
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*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 1

The following data is given for an inventory control system. The annual demand is given as 24,000 units and the safety stock is 200 units. The economic order quantity is 3000 units. If the lead time is 12 days and the number of working days is 300, then the reorder level is __________ units.


Detailed Solution for Test: Inventory Control Level - 3 - Question 1

Given data,

Annual demand = 24,000 units

safety stock = 200 units

EOQ = 3000 units

LT = 12 days

Working days = 300

ROL = SS + Demand during LT

cycle time = 37.5

Lead time < cycle="" />

ROL = 200 + 80 × 12

ROL = 1160

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 2

Consider the following data Annual usage = 12,000 units, carrying cost is given as 10% of the unit cost. The cost of an item is Rs. 100. The ordering cost per order is given as Rs. 60 Due to some technical reasons the supply is restricted to only 350 units. Find the total annual cost.


Detailed Solution for Test: Inventory Control Level - 3 - Question 2

Given,

D = 12,000 units

CC = 10% × 100 = Rs. 10/unit/year

Co = Rs. 60/order

Supply is restricted to 350 units

EOQ = 380 which is greater than 350 So, find total cost at 350

= Rs. 12,03,807

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Test: Inventory Control Level - 3 - Question 3

The lead time and consumption pattern of a component is as follows:

If safety stock = 54,000 units. The ROL is

Detailed Solution for Test: Inventory Control Level - 3 - Question 3

Average lead time

= 0.2 × 15 + 0.5 × 20 + 0.3 × 25

= 20.5

Average consumption

= 0.5 × 10,000 + 0.5 × 14,000

= 12,000 units

ROL = SS + Avg. lead time × Avg. consumption

= 54,000 + 20.5 × 12,000

= 3,00,000

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 4

The annual demand for an item is 4000 units, ordering cost is Rs. 200 per order and inventory holding cost is given as 8 Rs./unit/year. If 4% is offered for a lot of 1200 units then what will be economical ordering quantity. (Assume unit cost of an item is Rs. 40)


Detailed Solution for Test: Inventory Control Level - 3 - Question 4

Frequency of production run

Given data,

Production rate = 24,000/day

Consumption rate = 12,000/day

CC = Rs. 0.02/unit/year

Co = Rs. 18/set‐ up

Working days = 300

= 113841.99

Annual demand = (12,000 × 300) = 36 × 105

= 9.48

≃ 9.5 days

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 5

The daily demand for a commodity is given as 200 units. A fixed cost of Rs.1000 is incurred every time an order is placed. The carrying cost is given as Rs. 0.02 per unit per day. The minimum annual inventory cost is _____________


Detailed Solution for Test: Inventory Control Level - 3 - Question 5

Given data,

Demand = 200 units/day

= 200 × 365 units/year

= 73,000 units/year

Ordering cost = Rs. 1000/order

CC = Rs. 0.02/unit/day

= 0.02 × 365/unit/year

TC = Rs. 32646.59 /year

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 6

A particular item has a carrying cost of Rs. 2.4/unit/year. The total variable cost of inventory at EOQ is given as 2160. The annual demand is 9000 units. If the replacement is instantaneous then find-out the optimal number of order/year.


Detailed Solution for Test: Inventory Control Level - 3 - Question 6

Given data,

CC = Rs. 2.4/unit/year

TVC = 2160

Annual demand = 9000 units

2Co. D. CC = 21602

Test: Inventory Control Level - 3 - Question 7

For lead time and consumption the probabilities are given in the table below

If reorder point is 5,00,000 units. The buffer stock is ______________

Detailed Solution for Test: Inventory Control Level - 3 - Question 7

Average lead time

= 34 days

Average consumption

= 12500 units ROP or ROL = Buffer stock or safety stock + Avg. LT × avg. consumption

5, 00,000 = SS + 34 × 12500 SS = 75,000 units

Test: Inventory Control Level - 3 - Question 8

A company has an annual demand of 2000 units, ordering cost of Rs. 100/order and a carrying cost of Rs. 200/unit/year. If the shortage costs are estimated to be nearly Rs. 400/unit/year each time the company runs out of stock, then the stock justified by shortage cost is ______________

Detailed Solution for Test: Inventory Control Level - 3 - Question 8

Given data,

D = 2000 units/year

Co = Rs. 100/order

CC = Rs. 200/unit/year

CS = Rs. 400/unit/year

= 54.77 units

≃ 55

Qmax = 36.67 ≈ 37

Qmax + QS = EOQ

QS = 55 − 37

QS = 18 units

Stock justified by shortage cost

= QS = 18 units

∗ Stock justified by the shortage cost = QS

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 9

The demand during lead time varies uniformly between 8000 units and 12,000 units. The unit price is given as Rs. 4 and the selling price is Rs. 6. The unsold item has a salvage value of Rs. 2. Determine the optimal level of inventory to stock.


Detailed Solution for Test: Inventory Control Level - 3 - Question 9

Selling price per unit = Rs. 6

Cost price per unit = Rs. 4

Salvage value = Rs. 2

Gain = S. P − C. P = 6 − 4 = 2

Loss = C. P − Salvage value = 4 − 2 = 2

∴ Optimal stock = 8000 + 2000 = 10,000

Test: Inventory Control Level - 3 - Question 10

A moulding firm produces and uses 39,000 units annually. The set-up cost is Rs. 20 and production rate per week is 1000 units. If inventory carrying cost is Rs. 15 per unit per annum, the maximum inventory in units is ____________

Detailed Solution for Test: Inventory Control Level - 3 - Question 10

Annual production = 39,000 units

Co = Rs. 20/set‐ up

production rate = Rs. 1000/week

CC = Rs. 15/unit/annum

Qmax =?

k = production rate

= 1000 units/week

= 750 units/week

= 644.98

≃ 645

Qmax= 161.25 units ≈ 162 units

Test: Inventory Control Level - 3 - Question 11

A company uses 60,000 units per annum of an item, each costing Rs. 120. The ordering cost per order is Rs. 50 and annual inventory carrying costs are 15%. If the company operates 300 days on year, the lead time is given as 10 days and safety stock is 600 units. Find out the re-order level

Detailed Solution for Test: Inventory Control Level - 3 - Question 11

Annual demand = 60,000 units

Unit cost = Rs120/unit

Ordering cost = Rs. 50/order

Carrying costs = 15% × unit cost = Rs. 18/unit‐year

Working days = 300

LT = 10 days

SS = 600 units

ROL = SS + LT × consumption rate

= 200 units /day

ROL = 600 + 10 × 200 = 2600 units

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 12

In an industry, two bin system is used to control inventory for a particular component. The first bin hold 1200 units and the second bin holds 800 units. When first bin gets empty second bin is consumed during the lead time. The annual usage of the component is 40,000 units. The cost to place an order is around Rs. 50, the annual holding cost per unit is Rs. 4. The total variable cost for the two-bin approach is __________


Detailed Solution for Test: Inventory Control Level - 3 - Question 12

In two bin system order is placed after consuming 1st bin So, ordering quantity will be 1200 units

= Rs. 4066.67

Test: Inventory Control Level - 3 - Question 13

If the ratio of total incremental cost for a quantity Q to total incremental cost for EOQ quantity is 2, then the ratio of quantity Q to EOQ is _________

Detailed Solution for Test: Inventory Control Level - 3 - Question 13

x2 + 1 = 4x

x2 − 4x + 1 = 0

x = 3.73 or 0.26

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 14

Find the economic order quantity for a product of which the price breaks are as follows

The monthly demand for the product is 200 units. The cost of holding is 25% of the unit cost and the ordering cost is Rs. 20/order.


Detailed Solution for Test: Inventory Control Level - 3 - Question 14

[Annual demand = 12 × 200 = 2400] EOQ = 234.2

(Not falling in the range)

= Rs. 17222.5

(Falling under range)

= Rs. 19,638.17

Minimum cost is at 300 Quantity

Test: Inventory Control Level - 3 - Question 15

The monthly consumption of an item is 500 units. The price per unit is Rs. 25. The inventory carrying cost is 16% of item cost and ordering cost is Rs. 50 per order. For an economic order quantity model, determine the Re-order quantity

Detailed Solution for Test: Inventory Control Level - 3 - Question 15

Test: Inventory Control Level - 3 - Question 16

A company has to manufacture 2,00,000 brackets in a year. It orders raw materials for the brackets in lots of 50,000 units from a vendor. It costs Rs. 40 to place an order, inventory carrying costs are 20% of the item cost/yr which is Rs. 0.2/unit. Calculate the variation of cost (in %) in their order quantity from optimal?

Detailed Solution for Test: Inventory Control Level - 3 - Question 16

Annual demand = 2, 00,000 units

Ordering cost = Rs. 40/order

Carrying cost = 20% of unit cost

Unit cost = Rs. 0.2/unit-year

= Rs. 41160

= 0.88%

*Answer can only contain numeric values
Test: Inventory Control Level - 3 - Question 17

Consider an item with the following characteristics.

Annual demand = 400 /yr

Unit cost = Rs. 25

Inventory carrying cost = 20 % of unit cost

Cost of one procurement = Rs. 10

Shortage cost = Rs. 1.5/Unit-year

Based on the above data the time duration between two consecutive orders will be __________ months.


Detailed Solution for Test: Inventory Control Level - 3 - Question 17

Given data,

D = 400 units/year

Cu = Rs. 25

Cc = Rs. 0.2 × 25 = Rs. 125/unit-year

Cs = Rs. 1.5/unit-year

Co = Rs. 10/order

= 77.28

Test: Inventory Control Level - 3 - Question 18

The total cost is represented with the following equation, TC = 10,500 + Then TC)min is __________

Detailed Solution for Test: Inventory Control Level - 3 - Question 18

Q = 2500 × 16

Q = 200 units

TC)min = 10,500 + 12.5 + 12.5 = 10525

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