Discuss the following problem. Phosphorylase kinase integrates signals from the cyclic-AMP-dependent and Ca$^{2+}$-dependent signaling pathways that control glycogen breakdown in liver and muscle cells. Phosphorylase kinase is composed of four subunits. One is the protein kinase that catalyzes the addition of phosphate to glycogen phosphorylase to activate it for glycogen breakdown. The other three subunits are regulatory proteins that control the activity of the catalytic subunit. Two contain sites for phosphorylation by PKA, which is activated by cyclic AMP. The remaining subunit is calmodulin, which binds Ca$^{2+}$ when the cytosolic Ca$^{2+}$ concentration rises. The regulatory subunits control the equilibrium between the active and inactive conformations of the catalytic subunit, with each phosphate and Ca$^{2+}$ nudging the equilibrium toward the active conformation. How does this arrangement allow phosphorylase kinase to serve its role as an integrator protein for the multiple pathways that stimulate glycogen breakdown?