Solve graphically as a linear program and confirm analytically. ?

You operate a small wooden toy company making two products: alphabet blocks and wooden

trucks. Your profit is $30 per box of blocks and $40 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. How many boxes of blocks (B) and trucks (T) should you

make each week to maximize profit? State the objective function and constraints. 

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