Answer :

Correct answer is : 40250

p = 30000 unit/day, d = 15000 unit/day, CH = 20 Rs/unit/yr, Co = 1800 Rs/setup.

Number of working days in a year = 300

∴ D = d × (Number of working days in a year) = 300 × 15000 units/yr

P = p × (Number of working days in a year) = 300 × 30000 units/yr

So, Economic batch quantity,

$Q=\sqrt{\frac{2D{C}_o}{C_H}\left(\frac{P}{P-D}\right)}$

$Q=\sqrt{\frac{2\times 15000\times 300\times 1800}{20}\times \left(\frac{30000\times 300}{(30000\times 300)-(15000\times 300)}\right)}$

Q = 40249.22 ≈ 40250 units.