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- Having a hard time understanding the concepts in question 2. Anything helps! Thank you and I will upvote!!An angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.An economy produces quinoa (good 1), coconut oil (good 2) and sesame seed (good 3). The production of one unit of quinoa requires 0.2 unit of quinoa, 0.4 unit of coconut oil and 0 unit of sesame seed. The production of one unit of coconut oil requires 0 unit of quinoa, 0.4 unit of coconut oil and 0.5 unit of sesame seed. The production of one unit of sesame seed requires 0.8 units of quinoa, 0.1 unit of coconut oil and 0.5 unit of sesame seed. We want to find the production schedule that meets an external demand of 5 units of quinoa, 10 units of coconut oil and 20 units of sesame seed. This problem can be solved by reducing which augmented matrix?
- The following regression model investigates the determinants of years of schooling. educ = Bo + B₁ * motheduc + B₂ fatheduc + ß* income +84 * ability + u where motheduc is mother's education, fatheduc is father's education, sibs is number of siblings, and ability is a person's ability. Write the reparameterized model and explain how you would use it to test the hypothesis that mother's education and father's education have the same effect on years of schooling.A brewery produces regular beer and a lower-carbohydrate "'light" beer. Steady customers of the brewery buy 12 units of regular beer and 18 units of light beer monthly. While setting up the brewery to produce the beers, the management decides to produce extra beer, beyond that needed to satisfy customers. The cost per unit of regular beer is $32,000 and the cost per unit of light beer is $60,000. Every unit of regular beer brings in $100,000 in revenue, while every unit of light beer brings in $300,000 in revenue. The brewery needs at least $9,000,000 in revenue, and has determined that the total demand will be at least 50 units of beer. Complete parts (a) and (b). (a) How much of each type of beer should be made so as to minimize total production costs? ◻️units of regular beer and◻️ units of light beer should be made, for a minimum total cost of $◻️“A car manufacturer produces two versions of its popular medium sized model: a hatchback aimed at the family market and a coupe designed to appeal to affluent single customers. Both are based on the same chassis and differ only in the body kit used to make up the cars. They are both produced at the same factory. There are 95,000 hours of manpower and 8,900 basic chassis units (one per vehicle) available each week. The hatchback takes 4 hours of assembly time while a coupe takes 6.5 hours. At least 1,000 coupe models should be produced per week. Production is also constrained by the fact that owing to problems with a supplier only 34,000 door handles are available per week. A hatchback uses 10 of these handles while a coupe uses 4. The profit to the factory on a hatchback model is estimated to be £3,450 while the profit on a coupe is £975. The market demand for the cars is high. It is known that demand will exceed production for time to come so they should be able to sell…
- Economy has three industries A, B, and C. These industries have annual consumer sales of 40, 30, and 70 (in billions of dollars), respectively. For every dollar of goods, A Sellas, A requires 20 cents of goods from B and 10 cents of goods from C. For each dollar of goods B sells, B requires 25 cents of goods from A and 10 cents of goods from C. For each dollar of goods C sells, C requires 10 cents of goods from A and 15 cents of goods from B. Determine the total output required from each industry to meet both consumer and between industry demand. (a) Write a system of linear equations modeling the problem. (b) Use the augmented matrix to solve the problem. (c) Determine the total output required from each industry.5. On Cybertron, we manufacture Autobots, produce energy and extract metals. • To manufacture a unit of Autobots, we need 0.9 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.01 units of Autobots, 0.02 units of energy and 0.03 units of metals. • To manufacture a unit of metal, we need 0.02 units of Autobots, 0.2 units of energy and 0.02 units of metals. In a production cycle, we export 6,450 units of Autobots (sent to the Great War) but have to import 5270 units of energy and 3270 units of metals (both obtained from other planets). Determine the level of production of each sector. Submit here only the level of production of the Autobots.A large institution is preparing lunch menus containing foods A and B. The specifications for the two foods are given in the following table: Units of Units of Units of Fat Carbohydrates Protein Food per Ounce per Ounce per Ounce A 1 2 1 B 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirement at the least cost?
- Goldfish care manuals recommend that you have only 12 goldfish per 10 gallons of water. If Alex owns a 40 gallon tank that has a population density of 1.75 goldfish/gallon, is Alex meeting the recommendations? There is no way to determine how many goldfish Alex actually has. Yes, Alex has fewer than 12 goldfish per 10 gallons. O Yes, Alex has exactly 12 goldfish per 10 gallons. O No, Alex has more than 12 goldfish per 10 gallons.An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing, and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 50 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)13. Please help me out. Please solve the linear algebra problem asap I got stuck on my homework.