The Demand Equation For A Certain Type Of Printer Is Given By D=-200+35,000; The Supply Equation Is Predicted To Be S=-p*squared*+400p-20,000//Find The Equilibrium Price?
I'm so confused.
Answer:
The problem would be less confusing if it were properly stated. I expect the demand equation is D = -200p + 35000.
Given that, the equilibrium price will be reach when supply is equal to demand, or
-200p + 35000 = -p2 + 400p -20000
This is a regular quadratic equation in p, and can be solved by the methods you learned contained by algebra class.
p2 - 600p + 55000 = 0 (adding p2 - 400p + 20000 to both sides)
Using the quadratic formula,
p = (600 + sqrt[6002 - 4(55000)])/2 = 300 + sqrt[3002 - 55000] = 300 + 187.08
p = 300 - 187.08 = 112.92.
D = -200(112.92)+35000 = -22584 + 35000 = 12416
The price is predicted to settle at $112.92, where 12,416 printers will be sold.
In the attached picture, the price is shown on the horizontal axis, and the transaction quantity is shown on the vertical axis. The supply curve is the parabola, and the line is the emergency curve.
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Answer:
The problem would be less confusing if it were properly stated. I expect the demand equation is D = -200p + 35000.
Given that, the equilibrium price will be reach when supply is equal to demand, or
-200p + 35000 = -p2 + 400p -20000
This is a regular quadratic equation in p, and can be solved by the methods you learned contained by algebra class.
p2 - 600p + 55000 = 0 (adding p2 - 400p + 20000 to both sides)
Using the quadratic formula,
p = (600 + sqrt[6002 - 4(55000)])/2 = 300 + sqrt[3002 - 55000] = 300 + 187.08
p = 300 - 187.08 = 112.92.
D = -200(112.92)+35000 = -22584 + 35000 = 12416
The price is predicted to settle at $112.92, where 12,416 printers will be sold.
In the attached picture, the price is shown on the horizontal axis, and the transaction quantity is shown on the vertical axis. The supply curve is the parabola, and the line is the emergency curve.
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Can You Find An Equation Of The Line Satisfying The Given Conditions:...
A line perpendicular to 7x + 8y = 91 can be written "by inspection" as 8x - 7y = c, where c is a constant we will in a minute determine. 8(5) - 7(7) = c = 40 - 49 =...
How do you numeral out how oodles prime numbers are from 1 to 100?
The Greek Mathematician Eratosthenes figured out how to solve the question how many prime numbers are between one and 100. He invented the "Sieve of Eratosthenes." A sieve is similar to a strainer or something you use to filter out solid...
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