ADVANCED ANALYSIS Assume that demand for a commodity is represented by the equation P=18−2Qd.𝑃=18−2𝑄𝑑. Supply is represented by the equation P=−2+2Qs,𝑃=−2+2𝑄𝑠, where Qd and Qs are quantity demanded and quantity supplied, respectively, and P is price.Instructions: Enter your answer for price rounded to 2 decimal places and enter your quantity as a whole number.a. Using the equilibrium condition Qs = Qd, determine equilibrium price.$ .b. Now determine equilibrium quantity. units.
Question
ADVANCED ANALYSIS Assume that demand for a commodity is represented by the equation P=18−2Qd.𝑃=18−2𝑄𝑑. Supply is represented by the equation P=−2+2Qs,𝑃=−2+2𝑄𝑠, where Qd and Qs are quantity demanded and quantity supplied, respectively, and P is price.Instructions: Enter your answer for price rounded to 2 decimal places and enter your quantity as a whole number.a. Using the equilibrium condition Qs = Qd, determine equilibrium price.$ .b. Now determine equilibrium quantity. units.
Solution
To find the equilibrium price and quantity, we need to set the quantity demanded (Qd) equal to the quantity supplied (Qs).
The demand equation is P = 18 - 2Qd and the supply equation is P = -2 + 2Qs.
Setting Qd = Qs gives us:
18 - 2Qd = -2 + 2Qs
Solving for Qd (or Qs since they are equal at equilibrium) gives:
20 = 2Qd + 2Qs 20 = 4Qd Qd = Qs = 5 units
Substituting Qd = 5 into the demand equation gives:
P = 18 - 2*5 = $8
So, the equilibrium price is $8 and the equilibrium quantity is 5 units.
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