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ISC Mathematics - XII
1) The price of selling one unit of a product when x units are demanded given by the equation
p= 4000 - 2x. The fixed costs of the product are *20,000 and 1484 per unit are paid for
the product to place in a store. Find the level of sales at which the company expects to cover
its costs.
computer software manufacturer wants to start the production of floppy disks. He observes that
will have to spend 2 lakh for the technical know-how The cost of rotting
mochine is
Answers
Given : The price of selling one unit of a product when x units are demanded given by the equation p= 4000 - 2x
The fixed costs of the product are *20,000 and 1484 per unit are paid for
the product to place in a store.
To Find : the level of sales at which the company expects to cover
its costs.
Solution:
Let say x units are sold
Then revenue = units * price
= x * ( 4000 - 2x)
= 4000x - 2x²
Cost Price = 20000 + 1484x
the level of sales at which the company expects to cover its costs is called Break even point
Hence 20000 + 1484x = 4000x - 2x²
=> 2x² - 2516x + 20000 = 0
=> x² - 1258x + 10000 = 0
=> x² - 1250x -8x + 10000 = 0
=> (x - 1250)(x - 8) = 0
=> x = 1250 or x = 8
Level of sale is 8 units or 1250 units
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