Executives of a bread company decide to add a new line of whole wheat bread. Research indicates that consumers will buy about600loavesat $1.95 a loaf and 1,100 at $1.50a loaf. The company can supply450loavesat $1.65 per loaf and1,250loavesat $1.94per loaf. Furthermore, the baking staff reports that it costs $270for850 loavesand $555for2,200 loaves.Let the input bep, price per loaf, and the output beq, number of loaves.

(a)

What is the demand equation,D(p)?

(Round all numerical values to two decimal places.)

D(p)

=

(b)

What is the supply equation,S(p)?

(Round all numerical values to two decimal places.)

S(p)

=

(c)

Find the market equilibrium price and quantity. (Round your answers to two decimal places.)

market equilibrium price$market equilibrium quantityloaves

(d)

What is the cost equation,C(q)?

(Round all numerical values to two decimal places.)

C(q)

=

(e)

What is the cost equation,C(p)?

(Round all numerical values to two decimal places.)

C(p)

=

(f)

What is the revenue equation,R(p)?

(Round all numerical values to two decimal places.)

R(p)

=

(g)

What is the profit equationP(p)?

(Round all numerical values to two decimal places.)

P(p)

=

(h)

Find the break-even price(s) only, not the quantities. (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

dollars

2.computef'(x)

algebraically for the given value ofa.

a. f(x) =5/x a= 1

f'(a) =

b. Computef '(a) algebraically for the given value ofa. HINT [See Example 1.]

f(x) =5x²+x;a=7

f '(a)