Answer to Question #105947 in Economics for Leomar John Bulan

Question

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? Solve graphically (using millimetric paper) as a
linear program and confirm analytically.

Answer 1

40hours/7days=5 hours 42 minutes each day for each worker

3 hours woodwork for trucks and 1 hour woodwork for blocks

Each worker makes 1 truck each day and 2 blocks

3 workers make 3 trucks each day and 6 blocks

In a week they all make 22 trucks and 44 blocks