$(1,2)=1^(/2)*2^()2.$ Which of the following statements correctly characterizes the production function? a$.$ It has decreasing returns to scale and diminishing marginal product for both inputs. b$.$ It has decreasing returns to scale and increasing marginal product for both inputs. c$.$ It has decreasing returns to scale, diminishing marginal product for input $1,$ and increasing marginal product for input $2.$ d$.$ It has increasing returns to scale and diminishing marginal product for both inputs. e$.$ It has increasing returns to scale and increasing marginal product for both inputs.