Question

A chemical manufacturer has two purchasing plans available for a certain liquid chemical. Plan A is one dollar per gallon plus an an annual fee of 50 dollars. Plan B is 50 cents a gallon plus an annual fee of 100 dollars. Specify the condition for which Plan A is a better deal than Plan B.

Answer 1

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Answer 2

Let the number of gallons = g

First plan is

Plan A is one dollar per gallon plus an an annual fee of 50 dollars, that is

`1g+50`

Second plan is

Plan B is 50 cents a gallon plus an annual fee of 100 dollars.

`0.50g+100`

For plan A better than plan B,

`1g+50<0.50g+100`

`0.50g<50`

`g<100`

It means, numer of gallons must be less than 100 .