MHT CET 2025 Mathematics question
Not in JEE syllabus
A manufacturing company produces two items, A and B. Each toy should be processed by two machines, I and II. Machine I can be operated for maximum 10 hours 40 minutes. It takes 20 minutes for an item of A and 15 minutes for B. machine II can be operated for a total time at 8 hours 20 minutes. It takes 5 minutes for an item A and 8 minutes for B. the profit per item of A is Rs. 25 and per item of B is Rs. 18. The formulation of an L.P.P to maximize the profit (where x is number of items A and y is the number of item B) is…
Solution
Convert the machine times to minutes. Machine I: h min min. Each item A takes min and each item B takes min, so . Machine II: h min min, with min per A and min per B, so . The number of items cannot be negative, so . Profit is
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account