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- It’s that time of year again when Grandma Kim is having a fundraiser for the church. Everyone is bringing something to sell and I am bringing brownies, cookies, and muffins. Each brownie contains 2 teaspoons of milk, 2 ounces of flour and 4 ounces of sugar. Each cookie contains 1.5 teaspoons of milk, 1 ounce of flour, and 3 ounces of sugar. Each muffin contains 1 teaspoon of milk, 2 ounces of flour, and 1.25 ounces of sugar. Currently, I have 48 teaspoons of milk, 81 ounces of flour, and 80 ounces of sugar. Then, each brownie is on sell for $5.00, each cookie is on sell for $3.00 and each muffin is on sell for $2.50. What is the maximum profit that will be made for the fundraiser? To find the solution pivot.6. please help help!! Answer with step by step well explained: On Cybertron, we manufacture Autobots, produce energy and extract metals. • To produce a unit of Autobots, we need 0.6 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.1 unit of Autobots, and 0.1 unit of energy. • To produce a unit of metal, we need 0.1 unit of Autobots, 0.2 unit of energy, and 0.1 unit of metals. In a production cycle, we export 6,500 units of Autobots (sent to the Great War) but have to import 4,100 units of energy and 2,000 units of metals (both obtained from other planets). • a) Identify the variables. • b) Give the system of linear equations that connects these variables with the Leontief model. • c) Give the augmented matrix for this problem that will be used to calculate the production levels of the three sectors. • d) Calculate the level of production of the third sector only (here metal).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…
- Juan Hernandez, a Cuban athlete who visits the Unite States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffle bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each items are as follows. Items Weight (lb) Profit ($)1. Denim jeans 2 902. CD players 3 1503. Compact discs 2 30 Juan wants to determine the combination of items he should pack in his duffel bag that will maximize his profit. The problem is an example of a type of integer programming known as a "knapsack" problem. Formulate and solve this problem.Need only a handwritten solution only (not a typed one).Please help. Imagine you can't remember the license plate of your car, but you know it starts with the letters RE and contains digits 4 and 5, like REX745 or REE544. How many different license plates match this description? Write your answer as the product of two numbers. Here a license plate contains 3 letters followed by 3 digits
- Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/3 of the hot dogs! Grumbling, we cleaned up the mess, then ate 6 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/4 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/3. Our campsite neighbors, however, ran out of food, so we gave them 2/9 of our remaining hot dogs and then ate 11 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 6 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 62000 cells. The FDA then tasks you with checking to see if this is accurate. You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 762004 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. a. Why is the sampling distribution approximately normal? b. What is the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution? d. Assuming…The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…
- Please help meDO ALL PASRT PLEASE!!!!!!!!!!!A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…