Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The demand function for T.V. sets is $p = 20000 - 100x$ (rupees). Determine the total revenue and average revenue by selling 20 sets.

Options:

Total Revenue = ₹18000, Average Revenue = ₹360000

Total Revenue = ₹360000, Average Revenue = ₹18000

Total Revenue = ₹400000, Average Revenue = ₹20000

Total Revenue = ₹20000, Average Revenue = ₹100

Correct Answer:

Total Revenue = ₹360000, Average Revenue = ₹18000

Explanation:

The correct answer is Option (2) → Total Revenue = ₹360000, Average Revenue = ₹18000

Price $p = (20000-100x)$ per T.V. set

∴ Total revenue by selling x sets = $px = ₹(20000 - 100x) x$

∴ Total revenue by selling 20 sets = $₹(20000-100 × 20) × 20$

$= ₹(18000 × 20) = ₹360000$

Average revenue by selling 20 sets = $₹\frac{360000}{20}=₹1800$