Homework Help: Precalculus

Posted by Cindy on Tuesday, August 9, 2011 at 11:49am.

A doughnut shop at a shopping mall sells a dozen doughnuts for $2.95. Beyond the fixed costs of $150 per day, it costs $1.45 for enough materials and labor to produce each dozen doughnuts. If the daily profit varies between $50 and $200, between what levels (in dozens) do the daily sales vary?

Precalculus - Henry, Tuesday, August 9, 2011 at 7:24pm
$50 < 2.95x -(1.45x + 150) < $200,
50 < 2.95x - 1.45x - 150 < 200,
50 < 1.5x - 150 < 200,
50 + 150 < 1.5x < 200+ 150,
200 < 1.5x < 350,
133.3 < X < 233.3.

So the sales was greater than 133.3 dozens but less than 233.3 dozens.
In other words, the sales varied
between 133.3 and 233.3 dozens.

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