(5) An electronics firm manufactures two types of personal computers - a standard model and a portable model. The production of a standard computer requires a capital expenditure of $500 and 32 hours of labor. The production of a portable computer requires a capital expenditure of $350 and 30 hours of labor. The firm has at most $20,000 in capital and must use a minimum of 2,000 hours of labor towards the production of computers.

(a) Write the constraints that model the given situation.

(b) Is it possible for them to make 12 standard computers and 56 portable computers? Justify your answer.