In: Economics
An economy's production possibility boundary is given by the
mathematical expression 110 = 2 A +
B, where A is the quantity of good "a" and B is
the quantity of good "b". [Hint: To help you
answer this question, use the formula Y = mX + b and have good "a"
quantities correspond to X-axis values and good "b" quantities
correspond to Y-axis values.]
Part 1: If all the resources in the economy are allocated to producing good "a", what is the maximum level of production for this good
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Part 2: What is the maximum level of production for good "b"
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Part 3: What is the opportunity cost per unit of increasing the production of good “b”
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Part 4: Can the combination of 8 units of good A and 6 units of good B be produced in this economy (yes=1, no=2)
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Part 5: Can the combination of 30 units of good A and 16 units of good B be produced in this economy (yes=1, no=2)
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Solution :
Answer to Part 1 : 55
When all resources are allocated for producing 'a' then maximum A is 55
Answer to Part 2 : 110
When all the resources are allocated to produce 'b' then maximum B is 110
Answer to Part 3 : -2
Opportunity Cost of producing one unit of 'b' is -2
Answer to Part 4 : (1) Yes
The bundle of 8 units of A and 6 units of B can be produced
Answer to Part 5 : (1) Yes
Th bundle of 30 units of A and 16 units of B can be produced
All the calculation and reasoning is provided in the following attached image files :