2. A mixture of food A and food B is to be made so that it contains at least 45 ounces of nutrient N and 40 ounces of nutrient N2. The cost per pound of A is Php203.50 and each pound of A contains 1 ounce of nutrient N and 2 ounces of nutrient N2. Food B costs Php406.90 per pound and each pound of B contains 1.5 ounces of nutrient N and 0.5 ounce of nutrient N. If the weight of the mixture must not exceed 40 pounds, how many of each food should be used so that the total cost is a minimum? 3. A company makes two types of lamp shades. It takes twice as much time to make one type A shade as it does to make a type B shade, but if all shades were of type B the company could make 1250 per day. However, because of the availability of materials, the total daily output of both types cannot greater than 800. Furthermore the daily output of type A cannot exceed 400 and the daily output of type B cannot be greater than 700. If the profit of each type A shade is Php406.90 and the profit of each type B shade is Php305.20, how many shades of each type should be made per day to maximize the profit?