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1. The amount spent on the goods and services becomes profit for the firm. In on

ID: 1132954 • Letter: 1

Question

1. The amount spent on the goods and services becomes profit for the firm. In one hour John can produce either 4 units of good X or 12 units of good Y. He works an 8 hour day. In his 8 hour day he can produce either ______ units of good X or _____ units of good Y. The opportunity cost of producing one unit of good X is ______ units of good Y. The opportunity cost of producing 12 units of good X is _____ units of good Y. If John wants to produce 12 units of good X then he will be able to produce at most _______units of good Y.

Explanation / Answer

The amount spent on the goods and services becomes profit for the firm. In one hour John can produce either 4 units of good X or 12 units of good Y. He works an 8 hour day. In his 8 hour day, he can produce either (i) 32 units of good X or (ii) 96 units of good Y. The opportunity cost of producing one unit of good X is (iii) 3 units of good Y. The opportunity cost of producing 12 units of good X is (iv) 36 units of good Y. If John wants to produce 12 units of good X then he will be able to produce at most (v) 60 units of good Y.

EXPLANATION

In an hour John produces 4 units of good X.

Also, in an hour John produces 12 units of good Y.

(i) If he works 8 hours a day only to produce good X, he would be able to produce (4*8 = 32) 32 units of good X.

(ii) If he works 8 hours a day only to produce good Y, he would be able to produce (12*8 = 96) 96 units of good Y.

(iii) Now, we will calculate the opportunity cost of good X in terms of good Y.

Opportunity cost can be regarded as the value of something that has to be given up in order to acquire something else.

In 1 hr John produces 4 units of good X OR 12 units of good Y.

So, informally ( just for the sake of our understanding ) we can write,

4 units of X = 12 units of Y

or, 1 unit of X = (12/3=3) 3 units of good Y

Therefore, the opportunity cost of producing 1 unit of good X is 3   units of good Y.

(iv) So, now we can calculate the opportunity cost of producing 12 units of good X.

The opportunity cost of producing 1 unit of good X is 3 units of good Y.

Therefore, similarly the opportunity cost of producing 12 units of good X is (12*3=36) 36  units of good Y.

(v) In an hour John produces 4 units of good X.

So, to produce 12 units of good X John takes 3 hours. He is therefore left with 5 hours ( in an 8 hour day ) to produce good Y. We know, in an hour John produces 12 units of good Y. So in 5 hours, John will produce (5*12=60) 60 units of good Y.

Then we can conclude,

If John wants to produce 12 units of good X then he will be able to produce at most 60 units of good Y.