Posted by mathstudent05 on Friday, May 25, 2007 at 11:52am.
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.
Answer This Question
More Related Questions
- pre calculus - if the cost to to produce 100 cups of coffee is 11.02, while the ...
- arithmetic - The cost of a lunch of 1 pizza and 2 cups of coffee is $7. The cost...
- Math - The cost of a lunch of 3 sandwiches, 7 cups of coffee and 1 donut is $3....
- math,correction - Assume that each situation can be expressed as linear cost ...
- Algebra - A shop sells coffee and donuts. The coffee sells for $4.31 and donuts ...
- advanced math - The marginal cost of a product can be thought of as the cost of ...
- Math please help - Colombian coffee beans cost $5.50/lb while Peruvian coffee ...
- Algebra - 83. Minimizing Marginal Cost The marginal cost of a product can be ...
- Calc - Suppose that the cost, in dollars, for a company to produce x pairs of a ...
- Economics - The price elasticity of demand for senior citizens purchasing ...