The growth of plants in a greenhouse depends on the intensity of the lighting (as controlled by an illumination switch). Suppose some preliminary research suggests the relationship between plant growth rate P and light intensity L is given by: Lb/ 10 eL/c P(L) = a wherea=4,b=7,c=l2. (a) What is the growth rate in darkness (L = 0)? Number (b) As the illumination increases without bound, to what value does the growth rate converge? Number (c) Find the light setting, L, that maximizes the growth rate. L = Number