Question

suppose demand function is x=9000-30p and cost equation is c=90000+30x then find cost as a functon of price?​

Answer 1

The cost as a function of price, given the demand function x=9000-30p and the cost equation c=90000+30x is c(p) = 360000 - 900p after substituting x from the demand function into the cost equation and simplifying.

Step-by-step explanation:

To find the cost as a function of price given the demand function x=9000-30p and the cost equation c=90000+30x, we first need to express x in terms of p and then substitute this expression into the cost equation.

The demand function already gives us x in terms of p. Substituting x from the demand function into the cost equation, we get:

c = 90000 + 30(9000 - 30p)

Simplifying this, we have:

c = 90000 + 270000 - 900p

Therefore, the cost as a function of price is:

c(p) = 360000 - 900p