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))

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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…

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

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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.

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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.