After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times,held upright, and uncorked, its cork travels according to the function below, wheres is its height (in feet) above the ground t seconds after beingreleased.s(t) = - 16t + 50t + 4a. How high will it go?b. How long is it in the air?a. The cork will go feet.(Round to the nearest whole number as needed.)b. The cork will be in the air for seconds.(Type an integer or decimal rounded to two decimal places as needed.) Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of liters) is given by the function C(x) =x - 4x + 8x + 50,where x> 0.a) Where is C(x) decreasing?b) Where is C(x) increasing?a) Select the correct choice below and fill in any answer boxes within your choice.O A. The function is decreasing on the open interval(s)(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma toseparate answers as needed.)O B. The function is never decreasing.b) Select the correct choice below and fill in any answer boxes within your choice.O A. The function is increasing on the open interval(s)(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma toseparate answers as needed.)O B. The function is never increasing.

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After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked, its cork travels according to the function below, wheres is its height (in feet) above the ground t seconds after being released. s(t) = - 16t + 50t + 4 a. How high will it go? b. How long is it in the air? a. The cork will go feet (Round to the nearest whole number as needed.) b. The cork will be in the air for seconds. (Type an integer or decimal rounded to two decimal places as needed.)