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suppose that the current price of tin is $.75 per
pound and 7.5 million metric tons are sold every year.
The elasticity of demand for tin is -0.8. What is a
linear approximation of the demand for tin?

2007-01-17 02:35:22 · 3 answers · asked by azeez a 1 in Social Science Economics

3 answers

This is what the question is saying.
The elasticity of demand is -.8, meaning that the slope of the demand line is -.8. For every unit change in price, quantity will fall by .8 units. Your graph will have a steeper slope, and will go through the point 7.5 million tons for quantity and $.75 per pound for price. The line with that slope and going through that point will be your linear approximation.

2007-01-17 06:13:08 · answer #1 · answered by theeconomicsguy 5 · 0 0

Interesting problem. This is how I would solve it.
Let elasticity = (dQ/dP)(P/Q);
(dQ/dP)*(.75/7.5 million) = -0.8
dQ/dP = -8 million
dQ = -8 million dP
Integral on both sides, one gets Q = - 8 million P + Constant;
P = Cte/8 million - Q/8 million.

Attention! elasticity of demand IS NOT the slope of the demand curve because, according to the elasticity's formula, it depends on the quantity and price on the demand curve. The elasticity changes along the demand curve.

2007-01-17 05:32:39 · answer #2 · answered by ttfreitas 2 · 0 0

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2016-10-31 08:46:57 · answer #3 · answered by Anonymous · 0 0

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