Question 858266
The cost of producing x number of products is given by C(x)=115x + 51,471. Income from the sale of these products is given by R(x)=502x.

a) Find the cost to produce 250 products

C(x)=115x + 51,471

C(x)=115*250 + 51,471
= $80,221. 00
b) Find the average cost if 400 products are produced

=115*400 + 51,471 
=97471


Mean = 97471/400 =$243.68




c) Find the profit function, P(x)

P(x) = R(x) - c(x)
P(x)=502x-115x - 51,471
=387x -51,471


d) Will a profit or loss occur if 100 products are made or sold?
P(x) = R(x) - c(x)
=387x -51,471
P(100) = 38700-51,471
=-12771

The negative sign indicates that it will be a loss
= 


e) Find the break-even quantity of products

For break even R(x) = C(x)

502x=115x + 51,471

387x= 51471
x= 51471/387

x= 133 the break even quantity