charliekaufmann716
contestada

Suppose the number of CD players a retail chain is willing to sell per week at a price of dollars is given by the function
S(p) =[tex]\frac{70p}{1p+2}[/tex]
Find the supply and the instantaneous rate of change of the supply with respect to price when the price is 40 dollars.
S(40) = already got (66.677)
S'(40) = ?

Respuesta :

1) The supply when the price is 40 dollars would be; S(40) = 66.677

2)  The instantaneous rate of change of the supply with respect to price when the price is 40 dollars is; 0.0794

How to find the instantaneous rate of change?

We are given the function that represents the number of CD players a retail chain is willing to sell per week at a price of dollars as;

S(p) = 70p/(p + 2)

1) The supply when the price is 40 dollars would be;

S(40) = 70(40)/(40 + 2)

S(40) = 2800/42

S(40) = 66.677

2) The instantaneous rate of change would be gotten by finding the derivative of the supply function to get;

S'(p) = 140/(p + 2)²

Thus;

S'(40) = 140/(40 + 2)²

S'(40) = 0.0794

Read more about Instantaneous rate of change at; https://brainly.com/question/27775971

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