**NPTEL Data Science for Engineers Assignment 5 Answers**:- Hello students in this article we are going to share NPTEL Data Science for Engineers assignment week 5 answers. All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

**Below you can find NPTEL Data Science for Engineers Assignment 5 Answers**

Assignment No. | Answers |
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Data Science for Engineers Assignment 1 | Click Here |

Data Science for Engineers Assignment 2 | Click Here |

Data Science for Engineers Assignment 3 | Click Here |

Data Science for EngineersAssignment 4 | Click Here |

Data Science for Engineers Assignment 5 | Click Here |

Data Science for Engineers Assignment 6 | Click Here |

Data Science for Engineers Assignment 7 | Click Here |

Data Science for EngineersAssignment 8 | Click Here |

### NPTEL Data Science for Engineers Assignment 5 Answers 2022:-

Consider the objective function *maxf*(*x*)=*xy* subject to *x*+*y*2≤2 and *x*,*y*≥0. The Lagrangian function is given by *L*(*x*,*y*,*μ*1,*μ*2,*μ*3)=*xy*−*μ*1(−*x*−*y*2+2)−*μ*2*x*−*μ*3*y*

**1. **Which of the following is not an apt representation of the constraint?

**Answer:-** **Once we upload answer will notify on telegram. You can join here**

**2. **The values of *μ*1,*μ*2 and *μ*3 while evaluating the Karush-Kuhn-Tucker (KKT) condition with all the constraints being inactive are

**Answer:-**

Consider the function *f*(*x*,*y*)=5*x*2+3*y*2+8*xy*+12*x*+6*y* as the function to be optimized and answer question 3.

**3. **The saddle point of the function *f*(*x*,*y*) exists in which of the following coordinates (*x*,*y*).

**Answer:-**

**4. **A circle with center at origin is defined as: *x*2+*y*2=250. Find the points on the circle at the minimum distance from the point (10, 1).

**Answer:-**

**Next Week Assignment Answers**

**5. **A function is defined as, *f*(*x*,*y*)=10*x*+5*y*+29. Find the maximum such that the constraint 5*x*+5*y*2=44 is satisfied using a Lagrange multiplier.

**Answer:-**

**6. **A manufacturer incurs a monthly fixed cost of $7350 and a variable cost, *C*(*m*)=0.001*m*3−2*m*2+324*m* dollars. The revenue generated by selling these units is, *R*(*m*)=−6*m*2+1065*m*. How many units produced every month (m) will generate maximum profit?

**Answer:- **

**7. **An optimization problem, solved for N variables, with one equality constraint will have

**Answer:-**

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