# Demand, revenue, cost & profit

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##### Intros

##### Examples

###### Lessons

**Finding the Demand, Revenue, Cost and Profit Functions**

Desmond's Laptop Company is selling laptops at a price of $400 each. They estimate that they would be able to sell 200 units. For every $10 dollars increase in price, the demand for the laptops will decrease 30 units. Assume that the fixed cost of production is $42500 and each laptop costs $50 to produce.- Patsy is selling phones at a price of $700 each. They estimate that they would be able to sell 1000 units. For every $1 dollars decrease in price, the demand for the phones will increase by 50 units. Assume that the fixed costs of production are $300000 and each phone costs $200 to produce.
**Break even points**

The demand and cost function for a certain company is:

$p=-q+400$

$C(q)=1000+19q^2$

For what value(s) of $q$ causes you to have a profit of zero?- The demand and cost function for a certain company is:

$p=\frac{9}{q^2}$

$C(q)=6+3q$

For what value(s) of $q$ causes you to have a profit of zero?