A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2200 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the maximum area? (Note that the shoreline is one side of the rectangle.) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x. A(x) = (Type an expression using x as the variable.) The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is The maximum area of the rectangular region is yd. ydRaggs. Ltd. a clothing rm, determines that in order to sell it suits. the price per suit must be p = 170 0_?5x. It also determines that the total cost of producing x suits is given by C(x} =2000 + 0.5x2. a] Find the total revenue. R(x). b) Find the total prot. P(x). 1:) How manyI suits must the company produce and sell in order to maximize prot? d) What is the maximum profit? e) What price per suit must be charged in order to maximize prot? a] Ru) = bl Pi!) = c] suits d) The maximum prot is $ e) The price per unit must be S