Total Profit from Marginal Profit. Myna’s Fashions determines that its marginal profit, in dollars, from producing x shawls is given by P ' ( x ) = 200 , 000 e − 0.032 x Suppose it were possible for this firm to make infinitely many shawls. What would its total profit be?
Total Profit from Marginal Profit. Myna’s Fashions determines that its marginal profit, in dollars, from producing x shawls is given by P ' ( x ) = 200 , 000 e − 0.032 x Suppose it were possible for this firm to make infinitely many shawls. What would its total profit be?
Solution Summary: The author calculates the total profit of Myna's Fashions, where marginal profit, in dollars, from producing x shawls is given by P'(x)
A brine solution of salt flows at a constant rate of 7L/min into a large tank that initially held 100L of brine solution in which was dissolved 0.25kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.05kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02kg/L?
Determine the mass of salt in the tank after t min.
Total differential
z = 5(x^3)(y^2)
Suppose a brine containing 2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 50 kg of salt. The brine enters the tank at a rate of 5 L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 10 L/min. Find the amount of salt in the tank after 10 min. Find the concentration, in kilograms per liter, of salt in the tank after 10 min. When will the tank empty?
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