A nightclub has approximated the demand for their Thursday night drink special by p^2+200q^2=177, where p is the price (in dollars) and q is the quantity demanded (in thousands). Find and interpret when the price is $ 7 and the demand is 800 drinks.

Step-by-step explanation:

Given the approximate demand function of night drink expressed as;

p^2+200q^2=177,

p is the price (in dollars) and;

q is the quantity demanded (in thousands).

Given

p = $7

q = 800

Required

dq/dp

Differentiating the function implicitly with respect to p shown;

2p + 400d dq/dp = 0

400q dq/dp = -2p

200qdq/dp = -p

dq/dp = -p/100q

substitute p and q into the resulting equation;

dq/dp = -7/100(800)

dq/dp = -7/80000

dq/dp = -0.0000875

This means that the rate of change of quantity demanded with respect to the price is  -0.0000875

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

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step-by-step explanation:

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