Question

The price of a certain commodity in dollars per unit at time t (measured in weeks) is given by

p=8+4e^(-5t)+te^(-5t)

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How fast is the price of the commodity changing at ?

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	a.	Increasing at the rate of $19/wk.
	b.	Decreasing at the rate of $19/wk.
	c.	Increasing at the rate of $11/wk.
	d.	Decreasing at the rate of $11/wk.
	e.	Increasing at the rate of $8/wk.

2.

Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by

​p(x)= -50x^2+8600x-30000

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To maximize the monthly rental profit, how many units should be rented out? What is the maximum monthly profit realizable?

	a.	43 units are rented and the maximum monthly profit realizable is $339,800
	b.	21 units are rented and the maximum monthly profit realizable is $339,800
	c.	86 units are rented and the maximum monthly profit realizable ix $84,950
	d.	86 units are rented and the maximum monthly profit realizable is $169,900
	e.	86 units are rented and the maximum monthly profit realizable is $339,800

Answer 1