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compared to the original situation, where hip replacements cost $50,000 each but people had no insurance to help subsidize the cost, will the quantity demanded increase or decrease? increase by how much? 10000 surgeries

Sagot :

The quantity demanded will increase by 3,680 surgeries.

Price elasticity = 0.4

Insurance covers 70 percent of the bill.

This means that price has decreased by 70%.

When price decreases, quantity demanded increases.

Price elasticity = % change in quantity demanded/% change in price

0.4 = % change in quantity demanded/70

% change in quantity demanded = 28

Thus, the quantity demanded hip replacement will increase by 28 percent.

Price elasticity = 0.4

Insurance covers 95 percent of the bill.

This means that price has decreased by 95%.

When price decreases, quantity demanded increases.

Price elasticity = % change in quantity demanded/% change in price

0.4 = % change in quantity demanded/95

% change in quantity demanded = 38

Thus, the quantity demanded for hip replacement will increase by 38 percent.

The price of hip surgery has increased from $50,000 per surgery to $80,000 per surgery.

So,

New price = $80,000 per surgery

Insurance covers 95% of the price.

Amount covered by insurance = (95/100) * $80,000 = $76,000

Amount each insured person will pay = Price - Amount covered = $80,000 - $76,000 = $4,000

So, each insured patient will now pay $4,000 for hip replacement surgery.

Price elasticity = 0.4

Original demand (Q) = 10,000 surgeries

Original price (P) = $50,000

New price (P1) = $4,000

Calculate the percentage change in price -

% change in price = [(P1 - P)/P] * 100 = [(4,000 - 50,000)/50,000] * 100 = -92%

The negative sign indicates that the price has decreased. However, the negative sign can be ignored.

So, the percentage change in price equals 92 percent.

Price and quantity have an inverse relationship. As the price has decreased, the quantity demanded will increase.

So, the quantity demanded hip replacement surgery will increase.

Calculate % change in quantity demanded -

Price elasticity = % change in quantity demanded/% change in price

0.4 = % change in quantity demanded/92

% change in quantity demanded = 36.8

% increase in quantity demanded = 36.8

original demand = 10,000 surgeries

Increase in demand = 10,000 * (36.8/100) = 3,680

So, the quantity demanded will increase by 3,680 surgeries.

To learn more about commerce and economics,

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