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- tind the generaldolutionof the System -3Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that will provide 132 grams of carbohydrates, 150 grams of fat, and 134 grams of protein. He knows that each cup of rice provides 40 grams of carbohydrates, 0 grams of fat, and 1 grams of protein. Each cup of tofu provides 5 grams of carbohydrates, 15 grams of fat, and 20 grams of protein. Finally, each cup of peanuts provides 27 grams of carbohydrates, 75 grams of fat, and 32 grams of protein. How many cups of rice, tofu, and peanuts should he eat? cups of rice: cups of tofu: cups of peanuts:I don't know how to accurately answer this question. I have followed the steps and have gotten 3 different answers each time. I am not sure which step I am missing or messing up on. I don't know if I am using the wrong formula but I would appreciate as much help as possible by guiding me through each step. Thank you so much.
- Watching all these drones buzz back and forth is giving you eyestrain. But you can’t just count every single drone -how could you ever know that you had caught them all?You instead take the following approach: you build a taser-net that you can use to stun and catch drones (muchmore fun than just watching), before tagging them and re-releasing them into the wild. Working for a week, youmanage to tag 400 drones, releasing them back into the wild. After waiting a week, you start catching drones again.Catching another 400 drones, you find that 270 of the drones you’ve caught are tagged, meaning you’d caught thembefore. 130 of your new catch are untagged, meaning this is the first time that you’ve caught them.Assume drones were equally likely to be caught at all times. Before catching the second batch of drones, there were400 tagged drones in the wild, the rest were untagged. 1) What number of dronesNmakes your second batch resultsas likely as possible? 2) Assuming again that the…Henry Lee is the Vice President of Purchasing for the consumer electronics division of the Major Electric Corporation (MEC). The company recently introduced a new type of video camcorder that has taken the market by storm. Although Henry is pleased with the strong demand for this product in the market place, it has been a challenge to keep up with MEC's distributors' orders of this camcorder. His current challenge is how to meet requests from MEC's major distributors in Pittsburgh, Denver, Baltimore, and Houston who have placed orders of 10,000, 20,000, 30,000, and 25,000 units, respectively, for delivery in 2 months (there is a 1-month manufacturing and one-month shipping lead time for this product). MEC has contracts with companies in Hong Kong, Korea, and Singapore who manufacture camcorders for the company under the MEC label. These contracts require MEC to order a specified minimum number of units each month at a guaranteed per unit cost. The contracts also specify the maximum…This part is similar to part 1, but instead of being given the number of repipes and tankless installs per 40 hour workweek, you are given the time per repipe or tankless install, in hours. Each worker at Derby Plumbing Services works 40 hours. The productivity of the six workers differs from part 1. ITT Hours per tankless Worker Hours per repipe install Austin 4.5 6.5 Cody 5 8 Dallas 3 4.5 Lincoln 4.5 Pierre 2.5 5 Victoria 12. If each worker split their time equally between repipes and tankless installs (i.e., devoted 20 hours to each), how many repipes could the company complete if all workers work a 40 hour week? (Partial repipes are allowed; enter your answer to one decimal place.) 13. If each worker split their time equally between repipes and tankless installs, how many tankless installs could the company complete if all workers work a 40 hour week? (Partial tankless installs are allowed; enter your answer to one decimal place.) 14. If you used the concept of comparative…
- Just need part DI'm currently facing challenges in solving this problem using only matrix notation, and I'm in need of your guidance. The problem specifically demands a solution using matrix notation exclusively, without any other methods. Could you kindly provide a step-by-step explanation, utilizing matrix notation, to help me grasp and solve the problem until we reach the final solution? can you please do this step by step without skipping any steps so I can understand it better and this has to be done using the mattrices wayYou will enter each part of this problem over the next few questions. A manufacturer of basketball shoes makes shoes using leather, nylon, rubber, and labor. The company makes two models, the Dunker and the Flyer, Each pair of Dunker shoes requires 6 ounces of leather, .6 square feet of nylon, 10 ounces of rubber, and 7 minutes of labor. Each pair of Flyer shoes requires 8 ounces of leather, 4 square foot of nylon, 12 ounces of rubber, and 9 minutes of labor. The company has 20 pounds of leather, 150 square feet of nylon, 50 pounds of rubber, and 20 hours of labor. The profit per pair is $16 for the Dunker and $24 for the Flyer. How many pairs of each type of shoe should the company produce to achieve maximum profit? Let x number of Dunker, y = number of Flyer 06+8≤320 O6x+8y 2320 Submit Answer 6x-8y < 32 6x+8y320 O
- Can you please help me solve without the use of technology?Change this LP problem (e.g., money, time, or number of batches), so that it has at least two whole number solutions: A bakery makes both chocolate cakes and almond cookies. Each batch of cakes requires 2hours in the oven and 3hours into decorating room. Each batch of cookies requires 1hour and 30 minutes in the oven and 30 minutes into the decorating room. The oven is available no more than 15hours per day, and the decorating room can be used no more than 13hours per day. The Daily profit from production of one batch of cakes is $50 and one batch of cookies is $15. How Many batches of cakes and cookies should be produced daily in order to maximize bakery's profit?You are opening a plant that will manufacture widgets (w) and gizmos (g). The widget machines cost $10,000 each. They each require 4 operators and 500 square feet o space. The gizmo machines each cost $6,000 ard require 6 operators and 500 square feet of space. Your new plant has 40,000 square feet of space available for the machines. HR estimates that you will be able to hire 460 operators to run the machines. Your budget for buying machines is $660,000. a) List all 5 constraints. b) List the coordinates of the corners of the graph in (g,w) form. (We cannot buy a fraction of a production machine. If the corners are not whole numbers, give the closest whole number coordinates along each constraint line.) c) Given the following estimated profits per hour per machine in each scenario, how many of each type of machine should you buy? What will be your profit per hour at tha Profit per Maximum Profit per Widget Number of Gismos Number of Widets Gizmo Profit $99 $98 $78 $120 $265 $103 ts…
