The following production table gives estimates of the maximum amounts of output possible with different combinations of two input factors, X and Y. (Assume that these are just illustrative points on a spectrum of continuous input combinations.) Units of Y Used 5 4 3 2 210 188 162 130 94 1 Estimated Output per Day 360 421 324 376 282 324 234 272 162 188 3 4 Units of X used 305 272 234 188 130 2 470 421 360 305 210 5

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The following production table gives estimates of the maximum
amounts of output possible with different combinations of two
input factors, X and Y. (Assume that these are just illustrative
points on a spectrum of continuous input combinations.)
Units of
Y Used
5
4
3
210
188
162
130
94
1
Estimated Output per Day
360
421
324
376
282
324
234
272
162
188
3
4
Units of X used
305
272
234
188
130
2
470
421
360
305
210
5
Transcribed Image Text:The following production table gives estimates of the maximum amounts of output possible with different combinations of two input factors, X and Y. (Assume that these are just illustrative points on a spectrum of continuous input combinations.) Units of Y Used 5 4 3 210 188 162 130 94 1 Estimated Output per Day 360 421 324 376 282 324 234 272 162 188 3 4 Units of X used 305 272 234 188 130 2 470 421 360 305 210 5
b) Assume that the quantity of X is fixed at 2 units. If output sells
for P3 and the cost of Y is P120 per day, how many units of Y will
be employed?
c) Assume that the company is currently producing 162 units of
output per day using 1 unit of X and 3 units of Y. The daily cost
per unit of X is P120 and that of Y is also P120. Would you
recommend a change in the present input combination? Why or
why not?
d) What is the nature of the returns to scale for this production
system if the optimal input combination requires that X = Y?
Transcribed Image Text:b) Assume that the quantity of X is fixed at 2 units. If output sells for P3 and the cost of Y is P120 per day, how many units of Y will be employed? c) Assume that the company is currently producing 162 units of output per day using 1 unit of X and 3 units of Y. The daily cost per unit of X is P120 and that of Y is also P120. Would you recommend a change in the present input combination? Why or why not? d) What is the nature of the returns to scale for this production system if the optimal input combination requires that X = Y?
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