Mathematics · Linear Programming Formulations
Highfly Co manufactures products X and Y selling for $60 and $25 per unit. Variable costs per unit: Material ($5/kg): X = $15 (3 kg), Y = $5 (1 kg) Labour ($6/hour): X = $24 (4 hrs), Y = $3 (0.5 hrs) Other Variable Costs: X = $6, Y = $5 Available next month: 4,200 kg of material and 3,000 labour hours. Let 'x' and 'y' be the units of X and Y. To maximize contribution (60 - 45 = $15 for X; 25 - 13 = $12 for Y), which objective function and constraint formulation is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Maximize 60x + 25y subject to 3x + y ≥ 4,200 and x + 0.5y ≥ 3,000
- 2Maximize 15x + 12y subject to 3x + y ≤ 4,200 and 4x + 0.5y ≤ 3,000✓
- 3Maximize 15x + 12y subject to 3x + y ≥ 4,200 and 4x + 0.5y ≥ 3,000
- 4Maximize 60x + 25y subject to 3x + y ≤ 4,200 and 4x + 0.5y ≤ 3,000
Correct answer
Maximize 15x + 12y subject to 3x + y ≤ 4,200 and 4x + 0.5y ≤ 3,000
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Linear Programming Formulations MCQs →Want more practice questions on Linear Programming Formulations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Linear Programming Formulations