Question

In shop cost price of product A & product is B is ratio of 21:31 total cost of product A & product B is 520 rupes. what is cost price for individual products?.​

Answer 1

Answer:

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Step-by-step explanation:

Profit will be Pro(x)=xP−C(x)

Pro(x)=x(200−  

400

x

​  

)−(  

100

x  

2

 

​  

+100x+40)

We want to maximize Pro(x) so differentiate it w.r.t x and put it =0

dx

d(Pro(x))

​  

=200−  

400

2x

​  

−  

100

2x

​  

−100=0→x=4000

Hence, price per unit will be P=200−  

400

4000

​  

=190

Total Profit will be Pro(x)=4000×190−(  

100

(4000)  

2

 

​  

+100×4000+40)=32×10  

4

−40=319960.