A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? 3 (a) The amount of salt x in the tank after t minutes is x = 3(50-t) - 2500 (b) The maximum amount of salt in the tank was about lb. (Type an integer or decimal rounded to two decimal places as needed.) -t)³ (50 -

In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $32 per doll. During the holiday selling season, FTC will sell the dolls for $40 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Determine the equation for computing FTC's profit for given values of the…

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Write a complete solution including all necessary calculations, formulas, and a listing of all variables and their values Compare by % age boys test scores in Canada to boys test scores in Japan. Compare by %age girls test scores in South Korea to girls test scores in Russia