# surplus

1. ### Consumers' Surplus for Calculus

The demand function for a certain make of replacement cartridges for a water purifier is given by: p=-0.01x^2-0.1x+6 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at...
2. ### Consumers' surplus

The demand function is: p = -0.01x^2 - 0.2x + 15 Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale unit price is \$12 per tape. Rounded to the nearest cent.
3. ### Need help with Consumer Surplus and the Integration step (easy)

Im doing online homework of consumer surpluses and the example gives a step that is the integration part that I don't understand. it goes from squareroot(81-.1q) -8 dq and this is what you get when you integrate -20/3 (81-.1q) ^3/2 -8q My question is how do you get the -20/3 in front...
4. ### LP: slack and surplus

First off I'm a new member. Got a question on linear programming constraints. Can anyone give me an example of a slack and surplus. (something simple such as in every day life)
5. ### Economics: level of output, breakeven, MR, MC, TC, surplus, elasticity

I realize this is a lot to ask, but I'd be REALLY grad if someone could help me with these... 1. a)Find the level of output Q at which profit P is maximized, given the total revenue R=500Q-3Q^2 and the total cost C=5000+150Q b) define break-even points' c) find marginal revenue at a value of Q...
6. ### improper integrals question (consumer surplus)

This is from my economics class lecture. Can someone explain how the last part (in yellow box) is done? How was the answer obtained? Since one of the limits of the integration is infinite, this is an improper integral. So, i thought that since [P^(e+1)]/(e+1) approaches infinity when P...
7. ### Help with Area under a curve surplus

The demand function where p = price in dollars and x = sales level in hundreds, is pictured below. The area of the grey rectangle in the picture has area = sales level times price = revenue generated by sales. The area of the shaded portion under the curve above the rectangle represents the...
8. ### Slack, Surplus & Artificial Variables

What types of problems can be solved using slack, surplus, and artificial variables?
9. M

### consumers' and producers' surplus

Determine consumers’ surplus and producers’ surplus under market equilibrium if the demand equation is p = 400 − q2 and the supply equation is p = 20q + 100. I got (10,300) as equilibrium pt. Therefore, I ended up with -6883000 for consumer surplus and -927000 for producers surplus. I'm...