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Given the demand equation for a pack of cigarettes, solve for the quantity demanded.

User Aryanm
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1 Answer

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Final answer:

To solve for the quantity demanded, we isolate the variable Qd in the given demand equation. The quantity demanded for a pack of cigarettes is 12 units.

Step-by-step explanation:

We can solve the given demand equation for the quantity demanded by isolating the variable Qd. The demand equation is represented by the equation: 16-2P = 2 + 5P, where P represents the price of a pack of cigarettes. We can solve this equation by combining like terms and isolating the variable Qd on one side.

16 - 2P = 2 + 5P
-2P - 5P = 2 - 16
-7P = -14
P = -14/-7
P = 2

Therefore, the price of a pack of cigarettes is 2 units. To find the quantity demanded, we can substitute this value back into the demand equation: Qd = 16 - 2P
Qd = 16 - 2(2)
Qd = 16 - 4
Qd = 12

The quantity demanded for a pack of cigarettes is 12 units.

User MartinJH
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