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masya89 [10]
3 years ago
7

What is the range for the relative price of cloth such that the economy produces both cloth and food? From _______ to _______ .

Which good is produced if the relative price is higher than this range?
Business
1 answer:
dezoksy [38]3 years ago
4 0

The answer is explained in detail below

Explanation:

a_{KC} = 2

a_{LC} = 2

a_{KF} = 3

a_{LF} = 1

Labor, L = 2000; Capital, K = 3000  

Labour constraint,

2Q_{c} + Q_{F} \leq 2000

Capital constraint ,

2Q_{c} + 3Q_{F} \leq 3000  

Solving the equation further, we get

Q_{F} \leq 2000 - 2Q_{C}

Q_{F} \leq 1000 - \frac{2}{3} Q_{C}

  • The range for the relative price of cloth such that the economy produces both cloth and food is  2/3 and 2
  • Low cloth production → economy will use relatively more labor to  produce cloth → opportunity cost of cloth is 2/3rd units of food.
  • High cloth  production → economy dips on labor → taking capital away from food  production → raising opportunity cost of cloth to 2 units of food.  
  • If relative price of cloth lies between 2/3 and  2 units of food, the economy  produces both goods.
  • If the price of cloth decreases below 2/3 → complete  specialization in food production → low compensation for producing cloth
  • If the price of cloth  rises above 2 → complete specialization in cloth production → low compensation for producing  food
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