The management of the producers of a famous hot sauce estimate that their profit (in dollars) from the daily production and sale of x cases (each case consisting of 24 bottles) of the hot sauce is given by P(x) = -0.000003x5+ 9x - 700 (a) How many cases of the daily production and sale should be to make the largest possible profit? Round your answer to the nearest integer, if necessary. You MUST justify that your result is an optimal value. X = cases (b ) What is the largest possible profit the producers can make in 1 day? Round your answer to the nearest whole dollar. dollars 11. DETAILS MY NOTES ASK YOUR TEACHER The owner of the Rancho Grande has 2948 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river (see the figure below), what are the dimensions of the largest area he can enclose? Round your answer to two decimal places, if necessary. Let y be the length (in yd) of the side parallel to the straight portion of a river, and x be the length (in yd) of the other side of the rectangular piece of land. X = yd Complete the following parts. (a) Give a function fin the variable x for the quantity to be optimized. f ( x ) = ( b ) State the domain of this function. (Enter your answer using interval notation.) (c ) Give the formula for y in terms of x