Question

4. A photocopier manufacturer finds that the revenue R in thousands of pesos from the sale of "x" photocopiers is given by R(x) = 5x2 + x. If the cost C, in thousands of pesos, of producing "x" photocopiers is given by C(x) = 4x2 + 13x + 16, how many photocopiers must be produced and sold in order for the manufacturer to break even?​

Answer 1

Answer:

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Answer 2

Given :   A photocopier manufacturer finds that the revenue R in thousands of pesos from the sale of "x" photocopiers is given by R(x) = 5x² + x.

The cost C, in thousands of pesos, of producing "x" photocopiers is given by C(x) = 4x² + 13x + 16,

To Find :  how many photocopiers must be produced and sold in order for the manufacturer to break even?​

Solution:

At breakeven  

Revenue = Total Cost

Hence

R(x) = C(x)

5x² + x =  4x² + 13x + 16

=> x² - 12x  - 16 = 0

x = (12 ± √144 + 64) /2

=> x = 6 ± 2√13

x can not be negative

Hence x  = 6 + 2√13

x ≈ 13.2

Hence 14 photocopiers must be produced and sold in order for the manufacturer to break even

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