The demand equation for a certain product is 6p² + q² = 1,200, where p is the price per unit in dollars and q is the number of units demanded. Find dq/dp.

A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the revenue function?

Suppose demand is given by p = 1600 − x. Find the maximum revenue.

A firm produces headphones in two qualities, Basic (B) and Premium (P). For the coming year, the estimated quantity produced of B is 60% higher than that of P. The firm makes a markup of 170% on both products. The ratio between the profits per unit between P and B is 2. The cost price for P is $260. If the profit target is $115 362 over the next year, how much of each of the two qualities must be produced and what are the two selling prices? (Round the quantities to the nearest unit and the prices to 2 digits after the decimal point if needed) Quantity of B = Answer units Quantity of P = Answer units Selling price of B = Answer $ Selling price of P = Answer $

When a ship is sailing, the fuel cost is proportional to the square of its speed relative to water. Besides that, there are fixed costs, which do not depend on the speed and are equal to p ($/hour). At what speed the total cost per 1 mile will be the lowest?

A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.

The demand for a car wash is  x = 600 − 20p,  where the current price is $5. Find the price elasticity of demand ? for this price. ? =

Let’s assume that in Kansas, a family farmer sells wheat in a perfectly competitive market. After increasing the production of wheat from 220 bushels to 240 bushels, the total revenue of the farmer increases from $6,600 to $6,700. What was the marginal revenue of this increase in production in dollar?

The demand equation for a manufacturer's product is: D = 210 - 0.3q where q is the number of units and p is the price per unit. For what value of q will there be a maximum income? How much is the maritime income?