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Linear Programming · Question 43 of 59

Question 43

HardOriginal question

Z=px+qyZ = px + qy, with p,q>0p, q > 0, takes its maximum at both (3,0)(3, 0) and (1,1)(1, 1). Which relation holds?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Equal maximum values: 3p+0q=p+q3p + 0q = p + q.

  2. That gives q=2pq = 2p.

Worth noting

p=2qp = 2q has the two letters the wrong way round; put (3,0)(3, 0) and (1,1)(1, 1) in to check.

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.