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.
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=(40.12-11.02) /(400-100)
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.
is the correct formula,
the rest should fall into place!