Question 15 of 25
Q.Given TR = 50Q - 4Q². Find the marginal revenue when Q = 3.
Tamil Nadu DgeTamil Nadu HSC First Year (DGE) Commerce Board 2022Subjective· 3mImportance★★★★★
60% · 15/25 Questions
You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.
Start your 14-day free trial to unlock the full solution →MR is the derivative of TR with respect to Q. Differentiating TR = 50Q − 4Q² gives MR = 50 − 8Q, and at Q = 3 the marginal revenue is 26.
Given: TR = 50Q − 4Q²
Step 1 — Marginal Revenue is the rate of change of Total Revenue:
MR = d(TR)/dQ
Step 2 — Differentiate TR with respect to Q:
d(50Q)/dQ = 50
d(4Q²)/dQ = 8Q
Therefore MR = 50 − 8Q
Step 3 — Substitute Q = 3:
MR = 50 − 8(3)
MR = 50 − 24
MR = 26
…
Unlock everything free for 14 days
- Full step-by-step solutions
- Concept-first explanations
- Methods, shortcuts & mistakes
- PYQ mapping + timed mock tests
Full access for 14 days. No credit card required.