The cost and revenue functions of a product are given by c(x)=20 x+4000 and R(x)=60 x+2000 respectively where x is the number of items produced and sold. The value of x to earn Profit is

Question

The cost and revenue functions of a product are given by c(x)=20 x+4000 and R(x)=60 x+2000 respectively where x is the number of items produced and sold. The value of x to earn Profit is (A)  > 50 (B)  > 60 (C)  > 80 (D)  > 40

Tardigrade Admin · Accepted Answer

R(x)-c(x)>0 ; 60 x+2000-20 x-4000>0 x>50

Q. The cost and revenue functions of a product are given by $c (x) = 20 x + 4000$ and $R (x) = 60 x + 2000$ respectively where $x$ is the number of items produced and sold. The value of $x$ to earn Profit is

$> 50$

$> 60$

$> 80$

$> 40$

$R (x) - c (x) > 0; 60 x + 2000 - 20 x - 4000 > 0$
$x > 50$

Q. The cost and revenue functions of a product are given by c(x)=20x+4000 and R(x)=60x+2000 respectively where x is the number of items produced and sold. The value of x to earn Profit is

>50

>60

>80

>40