# NPTEL Data Science For Engineers Week 5 Assignment Answers 2023

NPTEL Data Science For Engineers Week 5 Assignment Solutions

## NPTEL Data Science For Engineers Week 5 Assignment Answers 2023

1. The values of μ1,μ2 and μ3 while evaluating the Karush-Kuhn-Tucker (KKT) condition with all the constraints being inactive are

• μ1=μ2=μ3=1
• μ1=μ2=μ3=0
• μ1=μ3=0,μ2=1
• μ1=μ2=0,μ3=1
`Answer :-For Answer Click Here `

2. Gradient based algorithm methods compute

• only step length at each iteration
• both direction and step length at each iteration
• only direction at each iteration
• none of the above
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3. The point on the plane x+y−2z=6 that is closest to the origin is

• (0,0,0)
• (1,1,1)
• (−1,1,2)
• (1,1,−2)
`Answer :- For Answer Click Here `

4. Find the maximum value of f(x,y)=49−x2−y2 subject to the constraints x + 3y= 10.

• 49
• 46
• 59
• 39
`Answer :- For Answer Click Here `

5. The minimum value of f(x,y)=x2+4y2−2x+8y subject to the constraint x+2y=7 occurs at the below point:

• (5,5)
• (−5,5)
• (1,5)
• (5,1)
`Answer :- For Answer Click Here `

6. Which of the following statements is/are NOT TRUE with respect to the multi variate optimization?

I – The gradient of a function at a point is parallel to the contours
II- Gradient points in the direction of greatest increase of the function
III – Negative gradients points in the direction of the greatest decrease of the function
IV – Hessian is a non-symmetric matrix

• I
• II and III
• I and IV
• III and IV
`Answer :- For Answer Click Here `

7. The solution to an unconstrained optimization problem is always the same as the solution to the constrained one.

True
False

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8. A manufacturer incurs a monthly fixed cost of \$7350 and a variable cost,C(m)=0.001m3−2m2+324m dollars. The revenue generated by selling these units is, R(m)=−6m2+1065m. How many units produced every month (m) will generate maximum profit?

(m)=46

(m)=90

(m)=231

(m)=125

`Answer :- For Answer Click Here `
`Answer :- For Answer Click Here `