Consider the economies of Sporon and Tralfamadore, both of which produce glops of gloop using only tools and workers. Suppose th
1 answer:
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Answer:
Explanation:
United States is producing 200 tons of hamburgers and 60 tons of tacos.
United States' opportunity cost for producing 1 ton of hamburgers
=
= 0.3
United States' opportunity cost for producing 60 tons of tacos.
=
= 3.33
So we see that US has a lower opportunity cost in producing hamburgers, so it has a comparative advantage in producing hamburgers.
Mexico is producing 40 tons of hamburgers and 50 tons of tacos.
Mexico's opportunity cost of producing a ton of hamburgers
=
= 1.25
Mexico's opportunity cost of producing a ton of tacos
=
= 0.8
So we see that Mexico has a lower opportunity cost in producing tacos, so it has a comparative advantage in making tacos.
Since US specializes in making hamburgers, it will produce 200 tons of hamburgers and 0 tons of tacos.
Mexico specializes in making tacos, it will produce 50 tons of tacos and 0 tons of hamburgers.
Answer:
The level of production x that will maximize the profit is: 22,966
Explanation:
C(x) = 50,000 + 100x + x³
R(x) = 3400x
P(x) = R(x) - C(x)
= 3400x - [50,000 + 100x + x³]
= 3400x - 50,000 - 100x - x³
= 3300x - 50,000 - x³ .................... (A)
P'(x) = 3300(1) - 0 - 3x²
= 3300 - 3x²
At a critical point, P'(x) = 0
∴ 0 = 3300 - 3x²
3x² = 3300
x² = 1100
x = ±
P"(x) = -6x
P() = -6 (
) < 0
by second derivative, 'P' max at x = = 33.17 (rounds)
since x = ,
recall that P(x) = 3300x - 50,000 - x³ from equation (A)
Therefore, Maximum Profit
P() = 3300
- 50000 -
= 3300(33.17) - 50,000 - 33.17³
= 109461 -50,000 - 36495.26
= 22,965.74
Maximum profit is 22,966 to the nearest whole number