(Solved): Desmond's Laptop Company is selling laptops at a price of $400 each. They est ...

???????

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 $$\$42,500$$ and each laptop costs $$\$50$$ to produce. (a) Find the demand function(s) (both traditional demand, where quantity is a function of price, and the inverse demand function, where price is a function of quantity) (b) Find the revenue function, and graph it. (c) Find the cost function, both in the short run, and the long run. (d) Find the profit function. For what values of q will we have a negative net profit? Explain.