Question

Until​ recently, hamburgers at the city sports arena cost $ 2.50 each. The food concessionaire sold an average of 2,500 hamburgers on game night. When the price was raised to $2.80​,

hamburger sales dropped off to an average of 2,200 per night. The​ concessionaire's fixed costs were

​$1,156.50 per night and the variable cost was $1.98 per hamburger. Answer the following questions​ (A) through​ (F).

(A)   Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function

P=

Domain of P is =

(B)   Find the revenue function in terms of x and state its domain

R =

The domain of​ R(x) is =

(C) Assume that the cost function is linear. Express the cost function in terms of x =

(D) Find the​ break-even points =

E) Find the profit function in terms of x =

​

(F) Evaluate the marginal profit at x =

Answer 1