You just won a $ 200,000 prize and 30% will be spent on the celebration and will invest the balance in a pair of association projects that have offered, in both cases in addition to the investment, you have to dedicate part of your time during next summer. In project 1 the plan is to invest $ 100,000 and 40 hr., your estimated earn (without taking into account the value of your time) would be $ 40,000. For project 2 the figures are $ 80,000 and 50 hr. with an estimated earn also at $ 40,000. You have the opportunity to associate with any fraction of participation in c / investment you want but without exceeding 100% of c / u of them. The investment figures, time and profit are proportional to the fraction decided in your case. Of all ways, you always look for an interesting job in summer with a minimum of 60 hr. so you will invest in one or both projects with some participation that maximizes your estimated total profit. Which one is the best combination? Use the simplex method. pst: accommodate the information in a data table that facilitates the design of the mathematical model of pl. Identify the vd, determine the target z function and restrictions. What additional variables are necessary: vh, ve, va? What is the gain maximum possible under established conditions?