A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table Small medium large Electronic circuit component  5 7 10- Assembly time (n) 1 3 4 Cases 1 1 1 The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then A. How many of each should be produced to yield maximum profit B. What is the maximum profit?