Diagonal line through the original would intersect

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Q. Weekly maintenance costs for a factory recorded over a long period of time also adjusted for inflation tend to have an approximately symmetric bell shaped allocation with an average of $420, a maximum of $500 also a minimum of $380. If $450 is budgeted for next week, illustrate what is an approximate probability that this budgeted will be exceeded?

Q. Assumes preferences are monotonic. Prove utilizing a graph, that a diagonal line through the original would intersect each indifference curve once; elucidate your graph also reasoning.

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