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Use the midpoints formula to compute the elasticity given the following price, q

ID: 1167428 • Letter: U

Question

Use the midpoints formula to compute the elasticity given the following price, quantity combinations:

If Price of surgery = $10,000, 10 patients will be willing to undergo it

If Price of surgery = $19,000, 4 patients will be willing to undergo it

round off your answer to 2 decimal places.

- 1.00

- 1.38

- 13.8

- 0.138

none of the above

2)

How do you describe the elasticity in the previous question?

elastic

inelastic

unitary elastic

cannot tell

3)

When abdominoplasty costs were $6,000, Dr. Hurwitz treated 300 patients. When they dropped the price to $5,000, customers increased to 400.

What is the elasticity of demand for abdominoplasty using arc elasticity or the midpoints formula (rounded-off to 2 decimal places)?

- 1.38

- 1.57

- 0.157

cannot tell

none of the above

4)

UESTION 8

Did the drop in price in the previous question increase revenue?

yes

no

revenue stayed the same

cannot tell

none of the above

1)

Use the midpoints formula to compute the elasticity given the following price, quantity combinations:

If Price of surgery = $10,000, 10 patients will be willing to undergo it

If Price of surgery = $19,000, 4 patients will be willing to undergo it

Explanation / Answer

Ans)

midpoint percentage change is given as (Xnew - Xold) / Xaverage

The percentage change in price, as calculated by the midpoint formula would be

= ($19,000 - $10,000) / $14500 = 0.62069

The percentage change in quantity, as calculated by the midpoint formula would be

= ( 4 – 10 )/7 = - 0.8571

Thus, coefficient of elasticity, by the midpoint formula is = - 0.8571 / 0.62069 = -1.3808

Thus, answer is (b) = -1.38

2) As the elasticity lies between

- infinity < E < -1, thus the demand is elastic.

Hence, answer is (a) elastic.

3)

midpoint percentage change is given as (Xnew - Xold) / Xaverage

The percentage change in price, as calculated by the midpoint formula would be

= ($5000 - $6000) / $5500 = - 0.181818

The percentage change in quantity, as calculated by the midpoint formula would be

= ( 400 – 300 )/350 = 0.2857

Thus, coefficient of elasticity, by the midpoint formula is = 0.2857/ - 0.181818= -1.58125

Thus, answer is (b) as approx = -1.57.

4)

When abdominoplasty costs were $6,000 and 300 patients were treated the revenue is

R1 = $6,000*300 = $1800000

When the price dropped to $5,000 and customers increased to 400, the revenue became

R2 = $5,000*400 = $2000000

Thus, the drop in price increased the revenue.

Hence, answer is (a)

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