You operate a small wooden toy company making two products: alphabet blocks and wooden trucks. Your profit is $30.00 per box of blocks and $40.00 per box of trucks. Producing a box of blocks requires one hour of woodworking and two hours of painting; producing a box of trucks takes three hours of woodworking, but only one hour of painting. You employ three woodworkers and two painters, each working 40 hours a week. Required:
How many boxes of blocks (B) and trucks ( T) should you make each week to maximize profit? Solve graphically as a linear program and confirm analytically?