Price–demand. Repeat Problem 45 for x 2 + 2 x p + 25 p 2 = 74 , 500 45. Price–demand. The price p (in dollars) and demand x for a product are related by 2 x 2 + 5 x p + 50 p 2 = 80 , 000 (A) If the price is increasing at a rate of $2 per month when the price is $30, find the rate of change of the demand. (B) If the demand is decreasing at a rate of 6 units per month when the demand is 150 units, find the rate of change of the price.
Price–demand. Repeat Problem 45 for x 2 + 2 x p + 25 p 2 = 74 , 500 45. Price–demand. The price p (in dollars) and demand x for a product are related by 2 x 2 + 5 x p + 50 p 2 = 80 , 000 (A) If the price is increasing at a rate of $2 per month when the price is $30, find the rate of change of the demand. (B) If the demand is decreasing at a rate of 6 units per month when the demand is 150 units, find the rate of change of the price.
Solution Summary: The author calculates the price-demand relation implicitly with respect to time t on both sides.
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