Mathematics · Linear Programming
An organisation has the following contribution function: Contribution = 5X + 10Y where X = the number of units of product X produced, and Y = the number of units of product Y produced. A graph has identified that the optimal production plan exists at the point where the following two constraints cross: Skilled labour: 6X + 4Y ≤ 62,000 Unskilled labour: 2X + 5Y ≤ 50,000 There is a maximum demand of 12,000 units of each product. What is the number of units of Product Y produced in order to maximise contribution (to the nearest whole unit)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 110,000 units
- 26,200 units
- 39,500 units
- 48,000 units✓
Correct answer
8,000 units
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