[微分] 應用問題x2
1.Marginal Profit
When the price of a glass of lemonade at a lemonade stand was $1.75,
400 glasses were sold. When the price was lowered to $1.50, 500 glasses
were sold. Assume that the demand function is linear and that the variable
and fixed cost are $0.10 and $25,respectively.
Find the profit P as a function of x,the number of glasses of lemonade sold.
2.Depreciation
The value V of a machine t years after it is purchased is inversely
proportional to the square root of t+1. The initial value of the machine is
$10,000.
a.Write V as a function of t
b.Find the rate of depreciation when t=1
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