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: The relationship between labor (L) and output (Q) is given via the following equation: Q= 6L^2 -…

A: Using double derivative test to vet maximum range for maximum output

Q: Assume that it costs a company approximately C(x)=800,000+ 490x + 0.0005x² dollars to manufacture x…

A: (a) Find the marginal cost function C'(x): Explanation: The marginal cost (C'(x)) represents the…

Q: The FIA Formula 1 World Championship to be held next Sunday, November 7, during the 2021 Mexico City…

A: The answer to the above question is as follows :

Q: (3) The demand curve of a firm is p=1200 -21g and its total cost is C(q) = 2q-66q- + 600g +1000…

A:

Q: Q2 (b) if the profit function for a product is P (x) = 5600x + 85 x - x' - 200,000 dollars, selling…

A:

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: (iv) What price should the company charge to maximize revenue? (v) What price should the company…

A:

Q: 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles…

A: Here we have to use the concept of derivatives.

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.