B.TECH - Semester 5 engineering mathematics 5 Question Paper 2020 (feb)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- What is PERT? What is its advantage over CPM?
- Explain degeneracy and its implication in LPP.
- Write down the dual of the LPP Minimize $z=2 x_{2}+5 x_{3}$ $$ \begin{aligned} & \text { Subject to } x_{1}+x_{2} \geq 2 \\ & \qquad \begin{array}{l} 2 x_{1}+x_{2}+6 x_{3} \leq 6 \\ x_{1}-x_{2}+3 x_{3}=4 \\ x_{i} \geq 0, i=1,2,3 \end{array} \end{al...
- What are total float, free float and independent float in networking?
- Explain two characteristics of a queuing system. Answer any one full question from each module．Each question carries 20 marks． 6．（a）Solve graphically the LPP Minimize $z=3 x_{1}+5 x_{2}$ Subject to $-3 x_{1}+4 x_{2} \leq 12$ $$ \begin{aligned} & 2...
- (a) Apply dual simplex method to solve Minimize $Z=2 x_{1}+x_{2}$ Subject to $3 x_{1}+x_{2} \geq 3$ $$ \begin{aligned} & 4 x_{1}+3 x_{2} \geq 6 \\ & x_{1}+2 x_{2} \geq 3, x_{1} \geq 0, x_{2} \geq 0 \end{aligned} $$
- (b) Solve the following transportation problem to maximize profit. Profit in Rs/unit Distribution | 2 <br> 3 | | B | C | D | | | :--- | :--- | :--- | :--- | :--- | :--- | | | | 42 | 42 | 81 | |
- A project has the following time schedule | Activity | $1-2$ | $1-3$ | $1-4$ | $2-5$ | $3-6$ | $3-7$ | $4-6$ | $5-8$ | $6-9$ | $7-8$ | $8-9$ | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | Duratio...
- A project has the following time schedule | Activity | $1-2$ | $1-3$ | $1-4$ | $2-5$ | $3-6$ | $3-7$ | $4-6$ | $5-8$ | $6-9$ | $7-8$ | $8-9$ | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | Duratio...
- A project has the following time schedule | Activity | $1-2$ | $1-3$ | $1-4$ | $2-5$ | $3-6$ | $3-7$ | $4-6$ | $5-8$ | $6-9$ | $7-8$ | $8-9$ | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | Duratio...
- The following table lists the jobs of a network along with their estimates | Activity | $1-2$ | $1-6$ | $2-3$ | $2-4$ | $3-5$ | $4-5$ | $6-7$ | $5-8$ | $7-8$ | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | Optimi...
- The following table lists the jobs of a network along with their estimates | Activity | $1-2$ | $1-6$ | $2-3$ | $2-4$ | $3-5$ | $4-5$ | $6-7$ | $5-8$ | $7-8$ | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | Optimi...
- The following table lists the jobs of a network along with their estimates | Activity | $1-2$ | $1-6$ | $2-3$ | $2-4$ | $3-5$ | $4-5$ | $6-7$ | $5-8$ | $7-8$ | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | Optimi...
- (a) Solve graphically the LPP Minimize $z=3 x_{1}+5 x_{2}$ Subject to $-3 x_{1}+4 x_{2} \leq 12$ $$ \begin{aligned} & 2 x_{1}-x_{2} \geq 2 \\ & 2 x_{1}+3 x_{2} \geq 12 \\ & x_{1} \leq 4, x_{2} \geq 2, x_{1}, x_{2} \geq 0 \end{aligned} $$
- (b) Solve the LPP by simplex method Max $Z=4 x_{1}+10 x_{2}$ Subject to $2 x_{1}+x_{2} \leq 50$ $$ \begin{aligned} & 2 x_{1}+5 x_{2} \leq 100 \\ & 2 x_{1}+3 x_{2} \leq 90, x_{1}, x_{2} \geq 0 \end{aligned} $$
- (a) Apply Big M method to solve the LPP Maximize w Subject to $x_{1}+x_{2}+2 x_{3} \leq 5$ $$ \begin{aligned} & 2 x_{1}+3 x_{2}+4 x_{3}=12 \\ & x_{1}, x_{2}, x_{3} \geq 0 \end{aligned} $$
- (b) Use simplex algorithm to find the solution of the LPP Minimize $Z=3 x_{1}+5 x_{2}+4 x_{3}$ Subject to $2 x_{1}+3 x_{2} \leq 8$ $$ \begin{aligned} & 2 x_{2}+5 x_{3} \leq 10 \\ & 3 x_{1}+2 x_{2}+4 x_{3} \leq 15, x_{1}, x_{2}, x_{3} \geq 0 \end{al...
- Five different machines can do any of the five required jobs with different profits resulting from each assignment as shown below. Machine | | | A | B | C | D | E | | :--- | :---: | :---: | :---: | :---: | :---: | :---: | | | 1 | 30 | 37 | 40 | 2...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (a) What ...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (b) Fract...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (c) The t...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (d) Find ...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (e) What ...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (f) What ...
- Arrivals at a telephone booth are considered to be Poisson with an average time of 10 minutes between one arrival and the next. The duration of a phone call is assumed to be distributed exponentially with mean 3 minutes. Find the following. (g) Estim...
- A tax consulting firm has 4 service stations in its office to receive people who have problems and complaints about their income, wealth and sales taxes. Arrivals average 100 persons in a 10 - hour service day. Each tax adviser spends an irregular am...