the cost and revenue functions of a product are given by c(x)=20x+4000 and r(x)=60x+2000 respectively, where x s the number of items produced and sol.how many items must be sold to realise some profit?

Dear student,

the cost of the product is given by c(x)=20x+4000
the revenue is given by r(x)=60x+2000
 
profit will be given r(x) - c(x) = 60x +2000 - { 20x + 4000}
                                              = 60x -20x + 2000 - 4000
                                             = 40x - 2000

so we need to maximise the profit 
40x - 2000 > 0
​​​40x > 2000
x> 50
clearly when x = 50 then the profit is zero 
so the product sold should be greater then 50. 

Regards 


 

  • 1
What are you looking for?