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If there are 80 television sets in​ stock, what should be the price (p) of the small​ flat-screen television set, given the demand equation?

a) p=80
b) p=80x
c) p=x+80
d) p=80/x

User Mysterion
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1 Answer

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Final answer:

d) p=80/x,reflecting the inverse relationship between price and quantity demanded.

Step-by-step explanation:

The demand equation represents the relationship between the price (p) and the quantity demanded (x). In this case, the correct equation is p=80/x. This means that the price is inversely proportional to the quantity demanded. As the quantity demanded (x) increases, the price (p) decreases, and vice versa.

To understand this relationship, consider that if there are 80 television sets in stock, the equation p=80/x implies that as the number of units demanded (x) increases, the price per unit (p) will decrease. This aligns with the economic principle of supply and demand, where an increase in demand tends to lead to a decrease in price.

It's important to note that the other options (a) p=80, (b) p=80x, and (c) p=x+80 do not accurately reflect the inverse relationship between price and quantity demanded. Option (a) sets a constant price of 80, option (b) incorrectly introduces multiplication, and option (c) incorrectly introduces addition.

In summary, the correct equation is p=80/x, reflecting the inverse relationship between price and quantity demanded.

User Joe Pallas
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