A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

x < 2,000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x > 2,000

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x ≥ 2,000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x > 1,000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
x > 2,000

For making profit, revenue function is more than cost function.

$R (x) > C (x) 43 x > 26, 000 + 30 x 13 x > 26, 000 x > 2, 000.$

Suggest Corrections

Similar questions

A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

A company manufactures bicycles. Its cost and revenue functions are C(x) = 39,000 + 30x and R(x) = 43x, respectively, where x is the number of bicycles produced and sold in a week. How many bicycles must be sold by the company to realize some profit?

Q. A company manufactures cassettes and its cost and revenue functions for a week are

C = 300 + \frac{3}{2} x and R = 2 x

respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold for the company to realize a profit?

Q. A company manufactures cassettes and its cost and revenue functions for a week are

C = 300 + \frac{3}{2} x

and

= 2 x

respectively where

x

is the number of cassettes produced and sold in a week. How many cassettes must be sold for the company to realise a profit?

A company manufactures cassettes and its cost revenue functions for a week are $C = 300 + \frac{3}{2} a n d R = 2 x$ respectively, where x is the number of cassettes produced and sold in a week.How many cassettes must be sold for the company to realize a profit ?

Join BYJU'S Learning Program

A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

The correct option is B x > 2,000 For making profit, revenue function is more than cost function. R(x)>C(x)43x>26,000+30x13x>26,000x>2,000.

The correct option is B
x > 2,000

For making profit, revenue function is more than cost function.

$R (x) > C (x) 43 x > 26, 000 + 30 x 13 x > 26, 000 x > 2, 000.$