8. [-11 Points] DETAILS TANAPMATH7 5.6.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Bob, a nutritionist who works for the University Medical Center, has been asked to prepare special diets for two patients, Susan and Tom. Bob has decided that Susan's meals should contain at least 371] mg of calcium, 19 mg of iron, and 52 mg of vitamin C, whereas Tom's meals should contain at least 320 mg of calcium, 14 mg of iron, and 42 mg of vitamin C. Bob has also decided that the meals are to be prepared from three basic foods: Food A, Food B, and Food C. The special nutritional contents of these foods are summarized in the accompanying table. Find how many ounces of each type of food should be used in a meal so that the minimum requirements of calcium, iron, and vitamin C are met for each patient's meals. Contents (mg/oz) Calcium Iron Vitaminc FoodA 3D 1 2 FoodB 25 1 5 FoodC 20 2 4 Susan's meals: Foooo :an Food or [:02 Tom's meals: FoooA E02 Food c [:102 Need Help? 9. [-11 Points] TANAPMATH7 5.6.044. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The Carver Foundation funds three non-profit organizations engaged in alternate-energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean titles is given in the accompanying table. Proportion of Money Spent Solar Wind Tides Organization I 0.6 0.3 0.1 Organization II 0.4 0.3 0.3 Organization III 0.2 0.6 0.2 Find the amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is as follows. (a) $10 million, $10.5 million, and $5.5 million, respectively Organization 1 $ S million Organization 11 $ S million Organization in $ [:J million (b) $8.6 million, $7.5 million, and $3.9 million, respectively Organization 1 $ :] million Organization iI $ C] million Organization III $ S million Need Help? 10. [-I1 Points] DETAILS TANAPMATH7 6.1.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Agra Products makes two types of fertilizers that are sold in SO-Ib bags. A 50-lb bag of Fertilizer A contains 5 lb of nitrogen, 10 lb of phosphorus, and 20 lb of potassium. A 50-lb bag of Fertilizer B contains 6 lb of nitrogen, 4 lb of phosphorus, and 4 lb of potassium. Agro Products has 1,800 lb of nitrogen, 1,600 lb of phosphorus, and 2,600 lb of potassium on hand. (a) Write a system of linear inequalities that gives the restrictions to be placed on the number of bags of each type of fertilizer that Agro Products can manufacture. (Let X represent the number of bags of Fertilizer A, and y represent the number of bags of Fertilizer B.) S 1,800 $1,600 5 2,600 (b) Graph the solution set S for the system of linear inequalities found in part (a). (c) [s it possible for Agro Products to make 100 50lb bags of Fertilizer A and 300 50lb bags of Fertilizer B? Prove your assertion. 0 Yes, it is possible. A feasible region exists and the point (x, y) = (100, 300) is in this region. 0 Yes, it is possible. Based on the first inequality, 100 bags of FertilizerA and 300 bags of Fertilizer 8 requires 1,800 total pounds of nitrogen or less. 0 No, it is not possible. Based on the second inequality, 100 bags of Fertilizer A and 300 bags of Fertilizer B requires more than 1,600 total pounds of phosphorous. O No, it is not possible since 100 bags of FertilizerA and 300 bags of FertilizerB doesn't produce enough bags of fertilizer. O No, it is not possible since 100 bags of FertilizerA and 300 bags of FertilizerB doesn't use enough pounds of potassium. Need Help? O B . https://www.webassign.net/web/Student/Assignment-Res 5. [-/1 Points] DETAILS TANAPMATH7 6.1.018. Write a system of linear inequalities that describes the shaded region. 15 - 10 VIA IV . J X 10 15 20 i 5x + 4y: ? v : 40 x + 5y ? v 20 4x+y ? v 17 x ? v 0 y ? Y 0 Type here to search O EI M\f