D(p) = 500e 0.05p, p = 100

Q: The demand for a car wash is x = 1000 – 40p, where the current price is $3. Find the price…

A: Consider the given information. x=1000-40p The current price is $3. Rewrite the function in form of…

Q: The demand for pineapples takes the following form: Q=10-3p. What is the own-price elasticity of…

A:

Q: What is the marginal weekly cost at production level 142 sleeping bags per week? What is the average…

A: Given: x (sleeping bags) p ($) C ($) 95 240 13000 120 235 14300 180 155 18500 220 50…

Q: Suppose the demand function for a product is given by - p = —— In(5,000 = a) where p is in hundreds…

A:

Q: p = V9 – 0.02x for 0 < x < 450 where p is the unit price in hundreds of dollars and x is the…

A: Elasticity of demand e = (dQ/Q)/(dP/P) e = price elasticity = quantity of the demanded good…

Q: Consider the demand for tickets to see a specific hockey team play. The price of the ticket can be…

A: 1st we will find profit function and then use derivative to maximize profit  .

Q: Define the Derivatives of the following Linear Functions: 1)Total Cost Function 2) Consumption…

A: 1)Total Cost Function   2) Consumption function

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.