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Corporation Laser
Solar Powered Laser Pointer LED Flashlight Keychain
Sturdy, dependable and well-built, this solar powered LED pointer and LED flashlight key fob is the perfect tool. It's inexpensive yet highly practical making it the perfect gift as well!
Perfect Tool: Hang it on your keychain or cellphone and you've got a handy laser pointer and LED torchlight when the need arises. Need to point to something on the roof? Need to point out something across the room? Where is it? Click. It's there!
Or how many times have you tried to open your house or car door at night and wasted precious minutes trying to fit the key in the hole? It's worse in the winter time with the freezing cold. Shine some light on that keyhole and be blind and frozen no more!
Perfect Gift: Because it costs roughly 2 dollars, it's the perfect gift for friends, coworkers, or all the people in your neighborhood who provide you with services like the mail man, the dry cleaning guy, or your favorite barista at Starbucks. It makes them feel great to receive a gift from you and you're only out of pocket 2 dollars!
Better yet this incredible solar-powered laser pointer and LED flash light keychain fob makes the perfect corporate premium. Give these amazing promotional item out at trade shows or trade fairs and watch the sales orders come flying in!
And So Perfectly Simple: Unlike other gadgets that run out o power or need replacement batteries, this amazing device is solar-powered. Just leave it in sunshine or room light for a few hours and you're fully charged. What's more, the solar powered laser pointing LED torchlight keychain fob is so easy to use!
- Slide the side switch to power the device ON or OFF
- Press and hold the button on the back once for laser pointing
- Press the button on the back twice to turn the LED flashlight on
- Press the button on the back thrice to turn off LED flashlight
So inexpensive, so useful, and such a great personal or corporate gift. The Solar Powered Laser Pointer LED Flashlight Keychain china electronics .brought to you by the online gadget specialists
At a Glance
- Keychain Fob
- Solar powered
- Red laser pointer
- mini dual bulb LED flashlight
- Easy to use
- So inexpensive!
About the Author
Mikel Torch is the Pr Manger of Wholesale-Star.com
Another Economics Problem Question! Correct Answer gets 10 points!?
The Coolidge Corporation is the only producer of a particular type of laser. The Demand Curve for its product is QD=8.300-2.1P
and the total cost function is: TC=2,200 + 480Q+20Q^2.
Where P is price (in dollars), TC is total cost (in dollars), and Q is monthly output.
a. Derive an expression for the firm's marginal revenue curve.
b. To maximize profit, how many lasers should the firm product and sell per month?
c. If this number were produced and sold, what would be the firm's month profit?
***Side Note*** I have the solutions but am NOT able to understand how the instructor got the numbers she did. for a. she is getting TR=PQ=(3,952.381-0.4762Q)Q=3,952.381Q-0.4762Q^2. Therefore MR=3,952.381-0.9524Q. I have no idea where she is getting these numbers in particular 3,952.381-0.4762Q. Where is she getting those from? I don't think she is showing the complete steps so I am so confused.
I think a majority of your confusion stems from the fact your answers do not match up with the problem you provided. For instance, when computing the inverse demand curve, given the demand curve you provided, we get the following:
Q = 8.3 – 2.1P. Solving the demand curve for P:
2.1P = 8.3 – Q. Divide both sides by 2.1
P = 3.9524 – .4762Q. This is different from the solution your teacher provided.
My guess to the error is that you meant 8,300 instead of 8.300.
Thus, when we compute the inverse demand curve:
Q = 8,300 – 2.1P. Solving for P:
2.1P = 8,300 – Q. Divide both sides by 2.1:
P = 3,952.281 – .4762Q, which matches your provided answer.
Now, you were correct, to find total revenue (TR) simply take the inverse demand curve and multiply it by Q:
TR = PQ. Substituting in inverse demand curve for P:
TR = (3,952.281 – .4762Q)Q.
To find the equation for marginal revenue (MR), take the derivative of TR with respect to Q.
TR = (3,952.2809 – .4762Q)Q
∂TR/ ∂Q = MR = 3,952.281 – .9524Q.
To find the profit maximizing quantity, set up the profit function (π), and maximize:
Π = TR – TC. Substitute in TR and TC
Π = (3,952.2809 – .4762Q)Q – (2,200 + 480Q+20Q^2) Max with respect to Q:
(FOC)
∂ Π / ∂Q = 3,952.281 – .9524Q – 480 – 40Q = 0.
(SOC)
∂2Π / ∂Q2 = –40 .9524 < 0, thus is holds for maximization.
Solving (FOC) for Q:
3,952.281 – .9524Q – 480 – 40Q = 0.
40 .9524Q = 3472.281 Divide both sides by 40.9524
Q* = 84.7882. This is the profit-maximizing quantity.
For book keeping purposes, we can substitute Q* into the inverse demand curve to find the profit maximizing price:
P = 3,952.281 – .4762Q. Substituting in Q*:
P = 3,952.281 – .4762(84.7882). Solving for P:
P* = 3911.902. This is the profit-maximizing price.
To find the profit, we can now substitute in Q* and P* into Π:
Π* = P*Q* - TC*. Substituting in Q* and P*:
Π* = (3911.902)(84.7882) – 2,200 – 480(84.7882) – 20(84.7882)^2, simplifying:
Π* = 331683.1292 – 2,200 – 40698.336 – 143780.772, reducing this down:
Π* = 145004.0212. This is the maximum profit.
Crystalline Silicon (c-Si) Laser Based Solutions