Bread World wants to redesign his oven to increase productivity and quality. Engineers from three companies, K1, K2, K3, submitted his proposal for consideration. No matter what the design, he's used to make 500 cakes a day for his shop. The cost for making a cake is $ 1.3. Baked cakes from the oven can sell for an average of $ 2.5 / cake. Broken cakes cannot be sold. The goal is to choose a design that gives the maximum profit for the rest of his shop within 300 days. Design plans K1, K2, K3 cost $ 100,000, $ 130,000 and $ 180,000. But the K1 design has a chance of 0.8 where 90 out of 100 cakes are undamaged and 0.2 out of 70 out of 100 cakes will not be damaged. There is a chance of 0.15 out of 75 out of 100 cakes will not be damaged. Design K3 has a chance of 0.9 where 95 out of 100 cakes are undamaged and there is a chance of 0.1 out of 80 out of 100 cakes will not be damaged. What is the expected profit margin of any design that achieves the maximum expected profit margin in 300 days?