Question

1) Suppose the cost in dollars of manufacturing q item is given by: C= 2000q + 3500

and the demand equation is given by: q= sqrt(15,000-1.5p)

in terms of the demand q,

a) find an expression for the revenue R

b) find an expression for the profit P

c) find an expression for the marginal profit

d) Determine the value of the marginal profit when the price is $5000

2) A manufacturer sells video games with the following cost and revenue functions (in dollars),where x is the number of game sold, for

0 less than or equal to x less than or equal to 3300

c(x)= 0.32x^2- 0.00004x^3

r(x)= 0.848x^2-0.0002x^3

a) Find the profit function

b) Determine the interval(s) on which the profit function is increasing. Include your detail step by step work

c) Find the maximum profit.

Answer 1