Posted by Yun Gao on Tuesday, June 19, 2012 at 12:39am.
The perfect pizza parlor estimates the average daily cost per pizza to be C(x) = (0.00025x^2 + 8x + 10)/x , where x is a number of pizzas made in a day.
a) determine the total cost at the level of production of 50 pizzas a day.
b) determine the production level that would minimize the average daily cost per pizza.
c) what is the minimum average daily cost per pizza?

Calculus  Damon, Tuesday, June 19, 2012 at 3:11am
cost per pizza at x = 50 is
[.00025(50)^2 + 8(50) +10 ]/50 = 8.21
* 50 = 410.63
dc/dx = [x (.0005 x + 8) .00025x^28x10) ]/x^2
when is the numerator zero?
.0005 x^2 + 8 x .00025 x^2 8 x 10 = 0
.00025 x^2 = 10
x = 200
for c, use 200 for x

Calculus  drwls, Tuesday, June 19, 2012 at 3:16am
(a) Plug in 50 for x and compute C(x).
(b) Solve for the value of x for which
C'(x) = dC(x)/dx = = 0.00025 x 20/x
= 0
25x^2 = 20,000
(c) Compute C(x) using the value of x from (b)

Calculus  Yun Gao, Tuesday, June 19, 2012 at 9:24pm
thanks :)
Answer This Question
Related Questions
 Calculus  The perfect Pizza Parlour estimates the average daily cost per pizza...
 math  As an entrepreneur, there are going to be many decisions that you need ...
 MATH  As an entrepreneur, there are going to be many decisions that you need to...
 algebra  you have just graduated from college and recently opened a specialty ...
 math  the manager of a take out pizza parlor needs to hire pizza makers and ...
 algebra  BreakEven Analysis: A Look at Profit and Loss: As an entrepreneur, ...
 Math  Cougar Pizza Parlor has just opened up across the street. You are ...
 math  A cheese pizza costs $5. Additional toppings cost $1.50 each. Write and ...
 Algebra  Based on surveys conducted in your area, you determine that it is ...
 algebra for business  As an entrepreneur, there are going to be many decisions...
More Related Questions