I want help for this question

Question

A manufacturer has a monthly fixed cost of $28,500 and a production cost of $8for each unit produced. The product sells for $11/unit. Find the following functions (in dollars) and compute each profit (in dollars).

(a)

What is the cost function?

C(x) =  

 

 

(b)

What is the revenue function?

R(x) =  

 

 

(c)

What is the profit function?

P(x) =  

 

 

(d)

Compute the profit (loss) corresponding to production levels of 8,000 and 11,000 units.

P(8,000)	=	$
P(11,000)	=	$

Answer 1

a) Cost function C(x) = 28,500 + 8n (where n = number of units produced)

b) Revenue function R(x) = 11n

c) Profit function is revenue minus cost, P(x) = 11n - (8n + 28,500) = 3n - 28,500

d) P(8,000) = 3(8,000) - 28,500 = -4,500 or ($4,500) since it is a loss.

P(11,000) = 3(11,000) - 28,500 = +4,500 or $4,500 profit.