Question

In: Economics

A large share of the world supply of diamonds comes from Russia and South Africa. Suppose...

A large share of the world supply of diamonds comes from Russia and South Africa. Suppose that the marginal cost of mining diamonds is constant at $2,000 per diamond, and the demand for diamonds is described by the following schedule:

Price

Quantity

(Dollars)

(Diamonds)

8,000 2,000
7,000 3,000
6,000 4,000
5,000 5,000
4,000 6,000
3,000 7,000
2,000 8,000
1,000 9,000

If there were many suppliers of diamonds, the price would beper diamond and the quantity sold would be

diamonds.

If there were only one supplier of diamonds, the price would beper diamond and the quantity sold would be

diamonds.

Suppose Russia and South Africa form a cartel.

In this case, the price would beper diamond and the total quantity sold would bediamonds. If the countries split the market evenly, South Africa would producediamonds and earn a profit of

.

If South Africa increased its production by 1,000 diamonds while Russia stuck to the cartel agreement, South Africa's profit would   to

.

Why are cartel agreements often not successful?

Different firms experience different costs.

One party has an incentive to cheat to make more profit.

All parties would make more money if everyone increased production.

Solutions

Expert Solution

Price Quantity TR MR
8000 2000 16000000
7000 3000 21000000 5000
6000 4000 24000000 3000
5000 5000 25000000 1000
4000 6000 24000000 -1000
3000 7000 21000000 -3000
2000 8000 16000000 -5000
1000 9000 9000000 -7000

If there were many suppliers of diamonds, the price would be 2000 per diamond and the quantity sold would be 8000 diamonds.

If there were only one supplier of diamonds, the price would be 6000 per diamond and the quantity sold would be 4000 diamonds.

Suppose Russia and South Africa form a cartel.

In this case, the price would be 6000 per diamond and the total quantity sold would be 4000 diamonds. If the countries split the market evenly, South Africa would produce 2000 diamonds and earn a profit of (6000-2000)*2000 = 8000000

.If South Africa increased its production by 1,000 diamonds while Russia stuck to the cartel agreement, South Africa's profit would increase by 1000000 to (5000-2000)*3000 = 9000000

Why are cartel agreements often not successful?

-One party has an incentive to cheat to make more profit.


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