math correction
posted by mathstudent05 .
is this correct?
Marginal Cost of Coffee The manager of a restaurant found that the cost to produce 100 cups of coffee is
$11.02, while the cost to produce 400 cups is $40.12. Assume the cost is a linear function of x, the number
of cups produced.
a. Find a formula for C(x).
(100,11.02) and (400,40.12)
slope is: 0.291
therefore using point (100,11.02)
I end up: y = 0.291x 18.08
b. What is the fixed cost?
the cost is 18.08
c. Find the total cost of producing 1000 cups.
c(1000)= 0.291(1000)18.08 = 272.92
d. Find the total cost of producing 1001 cups.
c(1001)=0.291(1001)18.08= 273.211
e. Find the marginal cost of the 1001st cup.
I do not know this part
f. What is the marginal cost of any cup and what does this
mean to the manager?
I don't know what to do here
On a. How did you get that slope? Isn't slope=(40.1211.02) /(400100)
but if i do slope with your points i get a 0.247 etc.....
Hmmmm. Check your math, in round terms, that is 30 divided by 300. That is not one fourth, not even close.

y=.097x+1.32
is the correct formula,
the rest should fall into place!