Philip P. answered • 01/22/17

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Let s = the number of soldiers produced each week and t = the number of trains, The Profit equation is:

P = $4s + $2.5t

The constraints are:

3s + 2t ≤ 120 (No more than 120 hours of finishing labor available per week)

2s + 2t ≤ 80 (No more than 80 hours of carpentry labor available per week)

0 ≤ s ≤ 25 (No more than 25 soldiers will be bought)

t ≥ 0 (Number of trains produced is greater than or equal to 0)

Plot these inequalities on a graph. Your feasible region will have 4 vertices. Read the coordinates of each vertex and plug the values into the Profit equation to find the combination of soldiers and trains that maximizes profit.