A company manufactures toys and faces the following challenge: A soldier is sold for 27 and it costs 24 in materials and sales costs. A train is sold for 21 and costs 19 in materials and selling expenses.To make the toys, there are two different work steps: carpentry and finishing. The carpentry is limited to 80 hours per week and the finishing to 100 hours per week. The soldier requires 1 hour of work in the carpentry and 2 hours of finishing. For a train needed 1 hour of each. Because the company's clientele is very specific, only 40 soldiers per week can be sold. Determine the company's optimal production program per week under the conditions above and that the profit is maximized. Use the coordinate system on the next page for your graphical part of the solution.