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ASHA 777 [7]
3 years ago
7

Sue plans to mix peppermints worth $1.20 per lb with chocolates worth $2.40 per lb to get a 40 lb mix that is worth $1.65 per lb

. How much of each should she use?
Business
1 answer:
Lunna [17]3 years ago
6 0

Answer:

Each should be used as follows:

Weight of peppermints = X = 25 lb

Weight of Chocolates = Y = 15 lb

Explanation:

Suppose

Weight of peppermints = X

Weight of Chocolates = Y

So According to given condition

X + Y = 40 (Eq. 1)

1.2X + 2.4Y = 1.65*40

1.2X + 2.4Y = 66 (Eq. 2)

By multiplying  (Eq. 1) with 1.2 we get

1.2X + 1.2Y = 48  (Eq. 3)

Now by subtracting  (Eq. 2) from  (Eq. 3)

(1.2X + 1.2Y) - (1.2X + 2.4Y) = 48 - 66

1.2X + 1.2Y - 1.2X - 2.4Y = -18

1.2X - 1.2X + 1.2Y - 2.4Y = -18 (Rearrange)

-1.2Y = -18

1.2Y = 18

Y = 18/1.2

Y = 15

By placing value of Y in (Eq. 1)

X + 15 = 40

X = 40 - 15

X = 25

<u>Check</u>

1.2X + 2.4Y = 66

1.2 (25) + 2.4 (15) = 66

66 = 66

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Two isolated nations, Alphaland and Betaton, are considering opening their borders to trade with each other. Both nations consum
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5 tons of salt for 1 ton of pepper

10 tons of salt for 1 ton of pepper

Explanation:

Alphaland's opportunity cost of producing one ton of pepper = 80 ÷ 5

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Betaton's opportunity cost of producing one ton of pepper = 3 ÷ 1

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Alphaland's opportunity cost of producing one ton of salt = 5 ÷ 80

                                                                            = 0.0625 tons of pepper

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Therefore, Betaton has a comparative advantage in producing pepper because it has the lower opportunity cost of producing pepper as compared to Alphaland. On the other hand, Alphaland has a comparative advantage in producing salt because it has the lower opportunity cost of producing salt as compared to Betaton.

Hence, Betaton is specialized in the production of pepper and Alphaland is specialized in the production of salt.

Trade is beneficial for both the nations when Alphaland buys pepper at a price lower than the 16 tons of salt and Betaton sells pepper at a price greater than 3 tons of salt.

Trade ratios:

5 tons of salt for 1 ton of pepper

10 tons of salt for 1 ton of pepper

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