Posted by **Roland** on Thursday, April 25, 2013 at 12:30pm.

A company manufactures widgets. The daily marginal cost to produce x widgets is found to be

C'(x) = 0.000009x^2 - 0.009x + 8

(measured in dollars per unit). The daily fixed costs are found to be $120.

a. Use this information to get a general cost function for producing widgets.

b. Find the total cost of producing the first 500 widgets.

c. If you sell the widgets for $25 each, how many will need to be sold before the company begins making a profit? (Hint: The revenue function is R(x) = $25x;

after you integrate C’(x), set C(x) = R(x) and solve for x. Finding the

intersection of the graphs of these two function may help you here.)

- Calculus -
**Damon**, Thursday, April 25, 2013 at 1:44pm
c = 9*10^-6 x^3/3 - 9*10^-3 x^2/2 + 8 x + constant which is 120 so

c = 3 *10^-6 x^3 -4.5*10^-3 x^2 + 8 x + 120

if x = 5*10^2

go ahead, plug that in

then for break even

25 x = = 3 *10^-6 x^3 -4.5*10^-3 x^2 + 8 x + 120

or

0 = 3*10^-6 x^3 -4.5*10^-3 x - 17 x +120

- Calculus -
**Damon**, Thursday, April 25, 2013 at 1:52pm
Using an online roots calculator I get x = 3243.358, -1750.404, 7.046

so perhaps 7

check my arithmetic!

## Answer This Question

## Related Questions

- math - A widget factory has fixed costs of 35 billion dollars and variable costs...
- Calculus (Help) - Can you please help me with this problem? I asked earlier, but...
- calc - Please help me you guys, this is the 3rd time I have posted this question...
- calc - A widget factory has fixed costs of 35 billion dollars and variable costs...
- Economics - A monopoly produces widgets at a marginal cost of $8 per unit and ...
- MATH - The cost to manufacture a product is proportional to the quantity ...
- Algebra - A company manufactures high-end racing bicycles. The total cost to ...
- Algebra - The RideEm Bicycles factory can produce 140 bicycles in a day at a ...
- Economics - A monopoly produces widgets at a marginal cost of $8 per unit and ...
- Economics - 5. A firm's marginal cost of production is constant at $5 per unit, ...

More Related Questions