###### Question 10208 – Engineering-Mathematics

April 30, 2024###### Question 9599 – GATE 2003

April 30, 2024# Question 8860 – Aptitude

The cost function for a product in a firm is given by 5q^{2}, where q is the amount of production. The firm can sell the product at a market price of ₹50 per unit. The number of units to be produced by the firm such that the profit is maximized is

Correct Answer: A

Question 21 Explanation:

Total selling price = 50q

Profit = 50q – 5q

For Profit to be maximum,

d(Profit)/dq = 0

d(50q – 5q

50 – 10q = 0

50 = 10q

q = 5

Profit = 50q – 5q

^{2}For Profit to be maximum,

d(Profit)/dq = 0

d(50q – 5q

^{2}) /dq = 050 – 10q = 0

50 = 10q

q = 5

5

10

15

25

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