Home > Linear Programming > CBSE > 4dffa71b-d6ba-4e83-bfb9-ba9461b8c43b
Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Linear Programming
NCERT Class 12
CBSE
Grade 12

Question:

A dealer wishes to purchase a number of fans and sewing machines. He has only ₹5760 to invest and space for at most 20 items. A fan costs ₹360 and a sewing machine costs ₹240. He can sell a fan at a profit of ₹22 and a sewing machine at a profit of ₹18. Maximize profit.

Step-by-Step Solution

Constraints: $x+y \le 20, 3x+2y \le 48$. Intersection $(8,12)$. [1.5 Marks]
$Z(8,12) = 176 + 216 = 392 \Rightarrow$ Max profit $= ₹392$. [1.5 Marks]

---
🎯 Official CBSE Marking Scheme:
Formulating constraints and corner points: 1.5 Marks
Evaluating maximum profit $= ₹392$: 1.5 Marks

Correct Answer:
Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.

Master Linear Programming with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free