The gure below is made of a rectangle and a semicircle. (a) Find a formula for the area. NOTE: Enter the exact answer. (1)) Find a formula for the perimeter. NOTE: Enter the exact answer. Perimeter: [ ] (c) Find the dimensions at and y that maximize the area given that the perimeter is 100. NOTE: Enter the enact answers. The gure below is made of a rectangle and a semicircle. (a) Find a formula for the area. NOTE: Enter the exact answer. (1)) Find a formula for the perimeter. NOTE: Enter the exact answer. Perimeter: [ ] (c) Find the dimensions at and y that maximize the area given that the perimeter is 500. NOTE: Enter the enact answers. Revenue is given by R (q) = 30051 and cost is given by C(q) = 10000 + 3q2. At what quantity is prot maximized? q = n items What is the total prot at this production level? Give your answer without commas. Prot = $