A corporation’s revenue can be found by the function () = −^3 + ^2 + 5, where is the number of units sold (in thousands). Its cost can be found by the function () = 9 + − ^2. The maximum profit for the corporation will be when it sells how many units?

(a) 100 (b) 300 (c) 1000/3 (d) 1000

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3