State whether the following statements are True or False. (1×6=6) 1.Transportati

Question

State whether the following statements are True or False. (1×6=6)
1.Transportation problem is an example of linear programming problem.
2.The linear programming model of the product mix problem only includes constraints of the less than or equal form.

3.In a transportation problem if the availability is equal to demand at destination then the problem is a balanced transportation problem.
4.Economic Order Quantity (EOQ) is the number of products in each order, which minimize the total cost of holding inventory and the cost of stock outs.

5.The two fundamental decisions that you have to make when controlling inventory are: (1) how much to order, and (2) how much money to spend.
6.If in an inventory management problem lead-time is 5 days and daily demand is 10 per day then re-order point is 50.



Section-II
Circle/tick the right answer from the answers given below. (1×6=6)
1.What is the total transportation cost of the problem given in Table below?

A) 550 B) 300 C) 500 D) 450
2.Consider the material structure tree for item A below. If 10 units of A are needed, how many units of E are needed?





A) 200 B) 300 C) 100 D) 240


3.Extra inventory that is used to avoid stock outs is known as A) Planned shortages. B) Quantity discounts. C) Safety stock. D) Service level.
4.The EOQ model without the instantaneous receipt assumption is commonly called the A) Quantity discount model. B) Safety stock model. C) Planned shortage model. D) Production run model.
5.In an inventory control problem if orders quantity is 200, what would be the average inventory (in units)? A) 100 B) 200 C) 60 D) 120
6.When formulating a transportation problem as LP model, if there are 3 sources and 4 destinations, which of the following statements is true? A) There are typically 4 decision variables and 3 constraints. B) There are typically 12 decision variables and 7 constraints. C) There are typically 7 decision variables and 7 constraints. D) There are typically 12 decision variables and 12 constraints.
Q2 Q6 o ulsic bual 11 Answer the following Essay Type Questions. 1. The table below describes a transportation problem D E F Supply To 12 12 From A 40 L1 L4 12 30 100 Demand 50 (a) Check whether the problem is balance or not. I (b) Use the northwest corner method to get an initial solution (c) What is the cost of the initial solution? 2. Formulate the following transportation problem as a linear prog problem

Explanation / Answer

Please dont post these many multiple questions at a time. You have less chance of getting the full answers

According to rules, I can provide answers for first section

SECTION-I

1.Transportation problem is an example of linear programming problem.

TRUE ( Its a linear programming model)

2.The linear programming model of the product mix problem only includes constraints of the less than or equal form.

False (Includes all type of expressions )

3.In a transportation problem if the availability is equal to demand at destination then the problem is a balanced transportation problem.

TRUE ( The definition of balnced transport problem is expplained above)

4.Economic Order Quantity (EOQ) is the number of products in each order, which minimize the total cost of holding inventory and the cost of stock outs.

TRUE ( It is a optimal cost as a whole give minimum cost for holding and stock outs)

5.The two fundamental decisions that you have to make when controlling inventory are: (1) how much to order, and (2) how much money to spend.

FALSE (Keep the product available based on demand; So how much to order and when to order)

6.If in an inventory management problem lead-time is 5 days and daily demand is 10 per day then re-order point is 50.

TRUE (ROP = L * D)

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Section - II

1) 20*2+20*5+10*4+20*2+30*2 = 280 (By north west method)

2) Total E no =10* 4 *6 = 240

3) Extra inventory that is used to avoid stock outs is known as safety stock (definition)

4) The EOQ model without the instantaneous receipt assumption is commonly called the production run model (definition)

5)  inventory control problem if orders quantity is 200, what would be the average inventory (in units)

= 200.2 = 100

6) No of decision variables = 4*3 = 12

No of contraints = 4+3 =7

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