A Volume Discount on a Certain Item Is Expressed as a Differential

question 69

Multiple Choice

A volume discount on a certain item is expressed as a differential equation in which the derivative of the price per item with respect to the number purchased is proportional to the difference between the price and some base price, below which the price can never go. If the price for just one item is $60, and the base price is $30, and the price per item when buying 10 items is $54, what is the price per item when buying 100 items?

• A) $33
• B) $48
• C) $57
• D) $46

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