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Linear Programming · Question 8 of 59

Question 8

MediumOriginal question

A firm makes xx units of product M and yy of product N. Machine time is 3 h for M and 1 h for N, with 15 h available; labour is 1 h for M and 2 h for N, with 10 h available. Which constraints are right?

Options for question 8

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Write each resource as (amount used per unit) × (number of units), added over the products.

  2. 'At most' or 'available' gives ≤, 'at least' or 'must give' gives ≥; a profit is maximised and a cost minimised.

Concept
Constraints from two resources
Typical time
90 s
Your time
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The rule this testsFormulating a problem
Practise this chapter →

Ten questions from Linear Programming, at your own pace.

Practise this chapter →

Ten questions from Linear Programming, at your own pace.