Posted by **michael** on Monday, December 3, 2012 at 8:06pm.

A lamp has a cost function of C(x) = 2500 + 10x, where x is the number of units produced per day and C(x) is in dollars. The revenue function for these lamps is R (X)= 18x−.001x^2. At least 100 lamps and no more than 2000 lamps may be produced per day.

a. How many lamps should be produced in order to maximize profit (prove this)?

b. What is the cost, in dollars, of producing the number of lamps that maximizes the profit?

c. What is the revenue, in dollars, of producing the number of lamp that maximizes the profit?

## Answer this Question

## Related Questions

- elements of calculus - cost, revenue, and profit are in dollars and x s the ...
- Calculus - The price-demand and cost functions for the production of microwaves...
- Calculus - The marginal revenue for x items in dollars is given by R′(x...
- calculus - (1 pt) A new software company wants to start selling DVDs with their ...
- calculus - (1 pt) A new software company wants to start selling DVDs with their ...
- Business Calculus - A company has operating costs of $2000 per thousand items ...
- Calculus - The Picture It frame company determines that the cost function for ...
- Math - The daily production costs C (in dollars per unit) for a manufacturer of ...
- Calculus - The figure shows graphs of the marginal revenue function R ' and the ...
- math - A new software company wants to start selling DVDs with their product. ...