Please answer ASAP tos Suppose the entire cola industry produces only two colas. Given that a personlast purchased cola 1, there a 75% chance that her next purchase will be cola 1. Given that a personlast purchased cola 2, there is an 80% chance that her next purchase will be cola 2. Suppose that eachcustomer makes one purchase of cola during any week (52 weeks=D1 year). Suppose there are 150 millioncustomers. One selling unit of cola costs the company $0.5 to produce and is sold for $2. For $600 millionper year, Britney Spears (by an advertising song) guarantees to decrease from 25% to 10% the fractionof cola 1 customers who switch to cola 2 after a purchase. Should the company that makes cola 1 hireBritney Spears (she is free from her dad)?

The guaranteed claim regarding the claim that the profit of cola-A will increase or decrease after…

Answered: to, Suppose the entire cola industry…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 11E: Purchase of a product The market research department at a manufacturing plant determines that 20 of...

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Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune cannot become infected again. Of the people who are infected, 5 will die each year and the other will recover. Of the people who have never been infected, 25 will become infected each year. How many people will be infected in 4 years?
Population Genetics-First Cousins This is a continuation of Exercise 5. Double first cousins are first cousins in two waysthat is, each of the parents of one is a sibling of a parent of the other. First cousins in general have six different grandparents whereas double first cousins have only four different grandparents. For mating between double first cousins, the proportions of the genotypes of the children can be accounted for in terms of those of parents, grandparents, and great-grandparent: 3=122+14+18. a. Find all solutions to the cubic equation above and Identify which is 1. b. After 5 generations, what proportion of the population will be homozygous? c. After 20 generations, what proportion of the population will be homozygous? 5. Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?
Purchase of a product The market research department at a manufacturing plant determines that 20 of the people who purchase the plants product during any month will not purchase it the next month. On the other hand, 30 of the people who do not purchase the product during any month will purchase it in the next month. In a population of 1000 people, 100 people purchased the product this month. How many will purchase the product a next month and b in 2 months?
The model L=4S gives the total number of legs that S sheep have. Using this model, we find that12 sheep have L= legs.
A pizzeria charges 9 for a medium plain cheese pizza plus 1.50 for each extra topping. a Find a formula that models the cost C of a medium pizza with x toppings. b Use your model from part a to find the cost of a medium pizza with the following extra toppings: anchovies, ham, sausage, and pineapple.
Stock is removed from a block in two operations. The original thickness of the block is represented by n. The thickness removed by the milling operation is represented by p and the thickness removed by the grinding operation is represented by t. What is the final thickness of the block?

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