SOLUTION: Let's say that you are planning on taking a road trip and you go online to search for competitive rates for rental cars. You see that Hertz charges $25.00 a day and 10 cents a mile

Question 25606: Let's say that you are planning on taking a road trip and you go online to search for competitive rates for rental cars. You see that Hertz charges $25.00 a day and 10 cents a mile, while Avis charges $5.00 a day and 50 cents a mile. You must figure out which company has the better deal.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Let's say that you are planning on taking a road trip and you go online to search for competitive rates for rental cars. You see that Hertz charges $25.00 a day and 10 cents a mile, while Avis charges $5.00 a day and 50 cents a mile. You must figure out which company has the better deal.
YOU HAVE NOT GIVEN ONE DATA ..THAT IS NUMBER OF DAYS YOU WISH TO TRAVEL OR KEEP THE CAR ..LET US TAKE IT AS ONE DAY.YOU CAN DO IN A SIMILAR WAY FOR MORE NUMBER OF DAYS ALSO.
LET US TAKE DISTANCE TO BE COVERED AS X MILES...SAY....WE SHALL FORMULATE GUIDELINES FOR CHOICE ON THE BASIS OF VALUE OF X.
HERTZ CHARGES = 1 DAY*25 $/DAY + 0.1 $/MILE *X=25+0.1X
AVIS CHARGES = 1 DAY*5 $/DAY + 0.5 $/MILE *X=5+0.5X
HENCE THE CUT OFF POINT IS WHEN BOTH ARE EQUAL
25+0.1X=5+0.5X
25-5=0.5X-0.1X=0.4X
20=0.4X
X=20/0.4 = 200/4=50 MILES...HENCE THE GUIDE LINE IS IF YOU ARE TAKING FOR 1 DAY AND TRAVELLING LESS THAN 50 MILES GO FOR AVIS. OTHERWISE GO FOR HERTZ...THAT IS IF YOU TRAVEL MORE THAN 50 MILES.
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