Suppose a system development project plan includes an expenditure of $30,000 for a prototype of the system, you would expect to find 40 errors in the system, each error would cost 1.2 hours to fix if found early in the SDLC or 14.9 hours if found later, and an hour costs $100. What is the case for paying to build the prototype? What is a prototype and how does using a prototype improve system development?