1. The demand function for a product is modeled by p(x) = 50e-0.0000125x where p is the price per unit in dollars and x is the number of units. What price will yield a maximum revenue? (Hint: Revenue= (Price) × (No. of Units))

Q: A Compony determines that the demand function for a prodnet can be modeled by p= 220-0.2x, where x…

A: Let's find.

Q: The demand function for a good is given by the equation P = a − bQ while the total cost function is…

A:

Q: Suppose that a demand function is given by q = D(p) = 20(7 - ((p) with superscript (2)/square root…

A: Given: The given demand function is q=D(p)=207-(p2p3+1) where q is the demand for a product and p is…

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

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.