Question 1

The Electro-Comp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time are available. Each air conditioner sold yields a profit of $25. Each fan assembled is sold for a profit of $15. Formulate this LP production mix situation and find the maximum profit.

		$1750
		$2100
		$1900
		$1800

Question 2

Customersarrive randomly at a single channel fast-food store at a rate of 30 every one hour. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. What service rate (hourly) should the company keep if it wants that each customer waits in the system on average 6 minutes (1/10 hour)?

	a.	30
	b.	0.1
	c.	40
	d.	26

Question 3

Which among the following is not true for M/M/1 model with finite source?

	a.	The population of units seeking service is infinite.
	b.	Arrivals follow a Poisson distribution and service times are exponentially distributed.
	c.	There is only one server.
	d.	Customers are served on a first-come, first-served basis.

Question 4

Automobiles arrive at the drive-through window at a post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. What percentage of the time is the postal clerk busy?

	a.	2.5
	b.	0.5
	c.	1
	d.	0.8

Question 5

A feasible solution to an LPP

		Need not satisfy all the constraints, only some of them
		Must be a corner point of the feasible region
		Must satisfy all the problem's constraints simultaneously
		Must give the maximum possible profit

Question 6

Ifthe average number of customers in the queue in case of M/M/1 model is 4, then what is the average number of customers in the queue in case of M/D/1 model?

	a.	4
	b.	16
	c.	2
	d.	3

Question 7

Determine where the following two constraints intersect.

5X + 23Y 1000

10X + 26Y 1600

		(105,10)
		(100,20)
		(120,60)
		(108, 20)

Question 8

Infeasibility in a L.P.P problem occurs when there is

		Infinite solutions
		There are no solutions that satisfies the given constraint
		None of these
		A constraint is redundant

Question 9

Woodpecker Furniture manufactures two different types of china cabinets: A French provincial model (X₁) anda Danish Modern model (X₂). The table below contains relevant information concerning net revenue per unit produced. IfX₁=20 units andX₂=30 units are produced per day and the objective is to Maximize the daily revenue. Then the formulated objective function and total revenue are ___________ and ______________

CABINET STYLE	NET REVENUE/ CABINET ($)
French Provincial Danish Modern	28 25

		Maximize Revenue = $28X1+ $25X2and Revenue=$1310
		Maximize Revenue = $20X1+ $30X2and Revenue=$1500
		Minimize Revenue = $28X1+ $25X2and Revenue=$1400
		None of the above

Question 10

If the percent idle time for any M/M/1 model is 0.25, then the probability that more than one customer in the system is

	a.	0.250
	b.	0.751
	c.	0.060
	d.	0.562

Question 11

Consider the following intermediate step in the Northwest Corner method to solve a transportation problem

From/ To	D	E	F	Capacity
A	10 100	20	30	140
B	40	30	20	200
C	30	40	10	130
Requirement	100	150	220	470

The next step would be to assign:

		40 to the cell from B to D
		150 to the cell from A to E
		200 to the cell from B to D
		40 to the cell from A to E

Question 12

Which of the following is a multichannel queuing model based on the Kendall's notations?

	a.	M/M/1
	b.	M/D/1
	c.	M/M/m
	d.	M/G/1

Question 13

An automobile parts manufacturer produces two types of automobile parts used for making four wheelers. Type 1 (X₁) requires hour of labor and 1 hour of machine time. Type 2 (X₂) requires 1 hour of labor time and 2 hours of machine time. There are 500 hours available per week of labor and 700 machine hours available. Type 1 has a profit margin of $ 35 a unit and Type 2 have a profit margin of $ 50 a unit. The automobile parts manufacturer must choose the quantity of Type 1 and Type 2 machinery parts, which maximizes profit(Z). Formulate this as linear programming problem by defining the objective function.

		Maximize Z=35X1+50X2
		Minimize Z=35X1+50X2
		Maximize Z=50X1+35X2
		Minimize Z=50X1+35X2

Question 14

Consider the following intermediate step in the NWC method to solve a transportation problem:

From	To	C	D	Capacity
A	$5 300	$4	300
B	$3	&7	300
Requirement	400	200	600

The next step would be to assign:

		100 to the cell from A to D
		100 to the cell from B to C
		200 to the cell from A to D
		400 to the cell from B to C

Question 15

A company manufactures 2 types of products A and B. Let X and Y be their respective number of units to be produced each month. The company has a contract with one of its customers to produce at least 300 units of product A and at most 200 units of product B per month. This information can be expressed in the LP as follows:

		X 300, Y 200
		X 300, Y 200
		Maximize 3X+2Y
		X+Y 500

Question 16

In a linear programing Problem, the constraints must be linear, but the objective function may benonlinear.

True

False

Question 17

In a maximization problem, when one or more of the solution variables and the profit can be made infinitely large without violating any constraints, the linear program has an unbounded solution.

True

False

Question 18

At a restaurant, the queuing model is M/M/1. Customers arrive at a rate of 1 customer every 6 minutes. It takes an average of 5 minutes to serve each arrival. Then, the average number of customers in the system is 5.

True

False

Question 19

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

True

False

Question 20

In a Single-Channel model of Poisson arrivals and exponential service times, the average service rate is greater than the average arrival rate.

True

False

Question 21

When looking at the arrivals at the ticket counter of a movie theater, we can assume an unlimited queue.

True

False

Question 22

An assignment problem may be viewed as a transportation problem with all supplies and demands equal to 1.

True

False

Question 23

In the multichannel model (M/M/m), we must assume that the average service time for all channels is the same.

True

False

Question 24

In a linear programing Problem, there is only one feasible solution.

True

False