A craftsman makes and sells woven pictures, of which there are two types: the small, and the large. The first requires plywood, 180 meters of yarn and 95 nails; the second requires plywood, 340 meters of yarn and 100 nails. From a sheet of plywood you can get 12 small or 5 large squares. Each month there are 15 sheets of plywood, 65 rolls of yarn of 50 meters each and 12,500 nails. The small painting requires 3 hours, and the large one 6 hours to prepare. 530 hours are available per month to manufacture the frames. The costs of materials and labor are given in the following table 1. Experience with sales shows that at least 25 large paintings are sold for every 60 small paintings. The selling price is estimated at $ 34 per unit for small paintings and $ 68 for large paintings. How many paintings of each type must be made for maximum profit?

Materials	Cost
Stamens	0.02 $/m
Nails	1.2 per cent
Plywood	7 $ per sheet
Workforce	2 $/hour

a) Formulate and solve graphically b) Which of the materials are consumed totally or part of them. c) This month the plywood sheets have been increased by 3 units. What is the incremental rate of the artisan's profit. d) What is the average hours of labor, necessary to maximize the profit of the artisan without modifying the current solution. e) If you want to increase your profit by $ 120, how many sheets of plywood should the craftsman additionally buy. f) Due to the rise in the dollar in the market, the materials will suffer a considerable rise of 40%, which would be the shadow price of the resource of the stamens under situation. g) If a 30% increase in profits due to the effect of the stamens is considered, what should be the decision of the employer regarding the availability of the stamens.