The marginal price for a weekly deman of x bottles of cough medicine in a drug s
ID: 1206474 • Letter: T
Question
The marginal price for a weekly deman of x bottles of cough medicine in a drug store is given by p'(x)= -10,000 / (5x-15)^2 A. find the price-demand equation if the weekly demand is 110 when the price of a bottle of cough medicine is $5. B. What is the weekly demand (to the nearest bottle) when the price is $7? The marginal price for a weekly deman of x bottles of cough medicine in a drug store is given by p'(x)= -10,000 / (5x-15)^2 A. find the price-demand equation if the weekly demand is 110 when the price of a bottle of cough medicine is $5. B. What is the weekly demand (to the nearest bottle) when the price is $7? A. find the price-demand equation if the weekly demand is 110 when the price of a bottle of cough medicine is $5. B. What is the weekly demand (to the nearest bottle) when the price is $7?Explanation / Answer
price demand equation by point slope method
p- p1 = slope (x-x1)
p- p1 = p'(x) (x-x1)
p- 5 = (-10000/ (5x1-15)2 ) * (x- 110)
p-5 = (-10000/ (550-15)2 )* (x- 110)
p- 5 =-0.035 *(x-110)
p= -0.035x +3.85 +5
p= -0.035x + 8.85 is the price-demand equation
b) at p= 7
7= -0.035x +8.85
0.035x = 1.85
x= 53 is weekly demand
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