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Can paralell lines curve?
If only one curves, then eventually the curve will intersect with the other line, even if it is way down into infinity ona graph. If both lines curve at the same angles at the same rate however, staying equidistant from each other, they are still parallel and will never intersect.
What are lines in a plane that cross or intersect each other?
Lines that that intersect each other at right angles on a plane are perpendicular lines.
What quadrilatrels have diagonals that intersect each other?
The diagonals of every quadrilateral must intersect.
Do the diagonals of a kite intersect at their mid-points?
No but they do intersect each other at 90 degrees
Where does perpendicular lines intersect?
Perpendicular lines intersect at right angles to each other.
Features of indifference curve?
two indifference curve never cut each other..
What are characteristics of indifference curve?
1.it is convex to the origin 2.they can not intersect each other 3.they dnt need to be parallel to each other 4. they can't touch the axis 5.they are negativley sloped
Can two indifference curve have the same utility?
indifference curve is the loci of points, where each represents a combination of goods in different ratios but gives equal amount of satisfaction. indifference curves help us to know which combinations of goods give us equal satisfaction and which increase it. they dont intersect eachother thus its not possible for two indifference curves to have the same level of satisfaction.
What is scitovsky indifference curve?
in which each individual iz indifferent
Why is indifference curve a closed set?
Indifference curve is a set of all the consumption bundles which are indifferent in the level of utility each bundle provide. Any bundle which provide higher utility will form another IC. Thus Indifference curve is a closed set.
Why indifference curves cannot intersect each other?
ntersection of two indifference curves representing different levels of satisfaction is a logical contradiction. It would mean that indifference curves representing different levels of satisfaction are showing the same level of satisfaction at the point of intersection or contact. We can prove this property of indifference curves through contradiction. Suppose, two indifference curves IC1 and 1C2 meet (Fig (a)), intersect (Fig. (b)) or touch (Fig. (c)) each other at point 'A' in Fig. Point 'C' is taken just above point 'B', such that it contains same amount of commodity 'X' and more amount of commodity' Y'. Consider points 'B' and 'A' on IC1. Consumer is indifferent between these points, as both lie on the same indifference curve IC. Further, points 'A' and 'C lie on the same indifference curve IC implying same level of satisfaction to the consumer. Now, by the assumption of transitivity, points 'B' and 'C' yield same level of satisfaction to the consumer. But, point 'C' lies on a higher indifference curve having more amount of commodity' Y'. It must be preferred to point 'B' by the assumption of non-satiety. Further, intersection of two indifference curves also violates the assumption of positive marginal utilities of the two commodity. In Fig., intersection of IC1 and IC2 means additional amount of BC has zero utility. Therefore, indifference curves can never intersect or touch each other.
Can paralell lines curve?
If only one curves, then eventually the curve will intersect with the other line, even if it is way down into infinity ona graph. If both lines curve at the same angles at the same rate however, staying equidistant from each other, they are still parallel and will never intersect.
What are Lines that are not parallel and will never intersect?
They are asymptote lines in which as a curve gets closer and closer to them they will never intersect with each other.
What are indifference curves explain it using a graph?
o Indifference curves are curves that have a negative slope and are bowed inward. Each point on the line has the same exact util value. In other words, a person would be the same amount of "happy" at each point on the indifference curve. There are an infinite amount of indifference curves on every graph. G2
Why an indifference curve has a negative slope?
As quantity consumed of one good (X) increases, total utility (satisfaction) would increase if not offset by a decrease in the quantity consumed of the other good (Y). Satisfaction, or utility must be offset so that at each point on the curve 'indifference' is retained.
Describe the characteristics of indifference curve?
Properties/Characteristics of Indifference Curve:Definition, Explanation and Diagram:An indifference curve shows combination of goods between which a person is indifferent. The main attributes or properties or characteristics of indifference curves are as follows:(1) Indifference Curves are Negatively Sloped:The indifference curves must slope down from left to right. This means that an indifference curve is negatively sloped. It slopes downward because as the consumer increases the consumption of X commodity, he has to give up certain units of Y commodity in order to maintain the same level of satisfaction.In fig. 3.4 the two combinations of commodity cooking oil and commodity wheat is shown by the points a and b on the same indifference curve. The consumer is indifferent towards points a and b as they represent equal level of satisfaction.At point (a) on the indifference curve, the consumer is satisfied with OE units of ghee and OD units of wheat. He is equally satisfied with OF units of ghee and OK units of wheat shown by point b on the indifference curve. It is only on the negatively sloped curve that different points representing different combinations of goods X and Y give the same level of satisfaction to make the consumer indifferent.(2) Higher Indifference Curve Represents Higher Level:A higher indifference curve that lies above and to the right of another indifference curve represents a higher level of satisfaction and combination on a lower indifference curve yields a lower satisfaction.In other words, we can say that the combination of goods which lies on a higher indifference curve will be preferred by a consumer to the combination which lies on a lower indifference curve.In this diagram (3.5) there are three indifference curves, IC1, IC2 and IC3 which represents different levels of satisfaction. The indifference curve IC3 shows greater amount of satisfaction and it contains more of both goods than IC2 and IC1 (IC3 > IC2 > IC1).(3) Indifference Curve are Convex to the Origin:This is an important property of indifference curves. They are convex to the origin (bowed inward). This is equivalent to saying that as the consumer substitutes commodity X for commodity Y, the marginal rate of substitution diminishes of X for Y along an indifference curve.In this figure (3.6) as the consumer moves from A to B to C to D, the willingness to substitute good X for good Y diminishes. This means that as the amount of good X is increased by equal amounts, that of good Y diminishes by smaller amounts. The marginal rate of substitution of X for Y is the quantity of Y good that the consumer is willing to give up to gain a marginal unit of good X. The slope of IC is negative. It is convex to the origin.(4) Indifference Curve Cannot Intersect Each Other:Given the definition of indifference curve and the assumptions behind it, the indifference curves cannot intersect each other. It is because at the point of tangency, the higher curve will give as much as of the two commodities as is given by the lower indifference curve. This is absurd and impossible.In fig 3.7, two indifference curves are showing cutting each other at point B. The combinations represented by points B and F given equal satisfaction to the consumer because both lie on the same indifference curve IC2. Similarly the combinations shows by points B and E on indifference curve IC1 give equal satisfaction top the consumer.If combination F is equal to combination B in terms of satisfaction and combination E is equal to combination B in satisfaction. It follows that the combination F will be equivalent to E in terms of satisfaction. This conclusion looks quite funny because combination F on IC2 contains more of good Y (wheat) than combination which gives more satisfaction to the consumer. We, therefore, conclude that indifference curves cannot cut each other.(5) Indifference Curves do not Touch the Horizontal or Vertical Axis:One of the basic assumptions of indifference curves is that the consumer purchases combinations of different commodities. He is not supposed to purchase only one commodity. In that case indifference curve will touch one axis. This violates the basic assumption of indifference curves.In fig. 3.8, it is shown that the in difference IC touches Y axis at point C and X axis at point E. At point C, the consumer purchase only OC commodity of rice and no commodity of wheat, similarly at point E, he buys OE quantity of wheat and no amount of rice. Such indifference curves are against our basic assumption. Our basic assumption is that the consumer buys two goods in combination.
What is Differences between cost indifference point and break even point?
the point at which total cost lines under the two alternatives intersect each other. Cost indifference point is calculated as under: - Difference in fixed costs/ Difference in PV ratio.
