A Tank Is Filled with 200 Gallons of Brine in Which

question 154

Essay

A tank is filled with 200 gallons of brine in which is dissolved 5 pounds of salt. Brine containing 0.1 pound of salt per gallon enters the tank at a rate of 2 gallons per minute, and the well-stirred mixture is drawn from the talk at the same rate.(a) Find the amount of salt in the tank at time $t$ .(b) How much salt is present in the tank after 20 minutes?
(c) How much salt is present after a long time? What is the concentration then?

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Definitions:

Historical Demand

The record of past customer demand for a product or service, used to predict future demand patterns and guide inventory and production planning.

Forecast

A prediction or estimate of future events or trends, especially regarding weather or economics.

Qualitative Forecasting Methods

Forecasting techniques that are based on judgment and opinion, rather than on strictly numeric or statistical data.

Subjective

Based on or influenced by personal feelings, tastes, or opinions, rather than external facts or evidence.