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Linear Programming · Question 46 of 59

Question 46

HardOriginal question

For which value of kk does Z=kx+2yZ = kx + 2y take the same value at the corner points (4,0)(4, 0) and (2,3)(2, 3)?

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Z(4,0)=4kZ(4, 0) = 4k and Z(2,3)=2k+6Z(2, 3) = 2k + 6.

  2. 4k=2k+64k = 2k + 6 gives k=3k = 3.

Worth noting

6 is 2k2k, the difference before dividing by 2.

Concept
An optimum at two corners
Typical time
120 s
Your time
—
The rule this testsThe corner-point method
Practise this chapter →

Ten questions from Linear Programming, at your own pace.

Practise this chapter →

Ten questions from Linear Programming, at your own pace.