A production manager determines that t months after production on a new product begins, the number of units produced will be N thousand, where  n(t)= 17t2+13t/(2t+1)2 (i) What would be the level of production 5 months into operations. (ii) What would be the level of production be in the long run

Q: The population, P, of the city of Hazelton has grown according to the mathematical model P =…

A:

Q: 3. A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Given that: Profit function: P(x)=-400x2+6800x-12000

Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: The volume of fluid in an IV (intravenous) drop decreases according to the mathematical model…

A: The  given model of the volume of fluid in IV drop versus time is:   V=-0.110t+1   Where, V is the…

Q: in the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that…

A:

Q: The demand for your college newspaper is 1800 copies per week if the paper is given a way free of…

A: The demand for your college newspaper is 1800 copies per week if the paper is given away free of…

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A:

Q: A manufacturer estimates that she can sell a maximum of 105 thousand cell phones in a city. By…

A:

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: *Concept:- first form Revenue equation in terms of number of weeks (x). then, use maxima principle,…

Q: Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the…

A: a. The market-clearing wage rate equates the demand and supply of labour Solve for w first Therefore…

Q: Suppose that t years from now, one investment plan will be generating profit at the rate of…

A:

Q: When a certain product is sold for p dollars per item, consumers will demand D(p)= 12,00p^-1 items…

A: Given, D(p)= 1200p-1 items/week p(t)= 0.5t²+6 dollars/item

Q: Suppose a company has fixed costs of $41,600 and variable cost per unit of  2/5x + 444 dollars,…

A:

Q: A study shows that if the government implemented energy conservation measures in 2009, the country's…

A:

Q: Tank A initially holds 100 gallons of brine that contains 150 pounds af salt, and tank B holds 100…

A: Tank A initially holds 100 gallons of brine that contains 150 pounds of salt.Tank B holds 100…

Q: It is estimated that between the hours of noon and 7:00pm, the speed of highway traffic past a…

A: Check S(t) for all values of t

Q: The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led…

A: We have to find profit.

Q: The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA doesn't…

A: Given - The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA…

Q: The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can…

A:

Q: 3. Imagine you fill your bathtub up at a rate of 2 gallons per minute. This means that every minute…

A:

Q: The total cost of producing a type of tractor is given by C(x) = 27000 – 10x + 0.04x-, where x is…

A:

Q: Suppose that I years from now, one investment plan will be generating profit at the rate of P1'(t)=…

A: Given. P1'(t) = 90e0.1t (1000$) P2'(t) = 140e0.07t (1000$)

Q: A business wish to invest Gh 20,000 in two enterprises do that the total returns for the year would…

A: Let he invests Gh x in the first enterprise. So he invested Gh (20000-x) in the second    Total…

Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

A:

Q: An investment of $8,000 is made at time 0 with returns of $3,500 at the end of each of years 1…

A: Given problem is : An investment of $8,000 is made at time 0 with returns of $3,500 at the end of…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a…

Q: new firm starts in business, it finds that its rate of profits (in hundreds of dollars per year)…

A: We have to find the future value function for profit.

Q: Suppose that a particular company estimates its growth income from sales by the formula: dS/dt = 2(t…

A:

Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A:

Q: A small manufacturer has determined that the daily cost in dollars of producing n injected molded…

A:

Q: Suppose that a company has fixed costs of -0 ---:-- ---0 400 dollars and variable costs of 0.7x +…

A:

Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R(t) = 100+0.08 t C(t) = 60+0.2 t2   P(t) = R(t)- C(t)       = 100 +0.08 t -60 - 0.2 t2 P(t) = -0.2…

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A: At a 3% crime rate, the county hires 200 officers per 10,000 peple in the population.For every 0.1%…

Q: When it comes to bacteria growing by binary fission, its generation time will be the time interval…

A: Given,              G=t3.3 logbB; G= generation time  t=  time interval in hours or minutes b=…

Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having…

A:

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a…

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B…

Q: Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

A: Given: stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport…

A:

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per…

A:

Q: 1. The total monthly income of a nursery for the care of x children is given by r = 450x, and its…

A: Given :-  The total monthly income of a nursery for the care of x children is given by  r = 450 x…

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find: How many weeks should the grower wait to maximise the sales revenue per tree.  Find the…

Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R = 100 + 0.08t at t = 10 R = 100 + 0.8 R = 100.8 million dollars.   C = 60 + 0.2 t2 at t = 10 C =…

Q: You own one of the stores in the newly opened City Mall. Your initial sale is 4,666.7, fortunately…

A: Here, given that your sale triples every 3 hours and t = time in hours, at t=0 and your initial sale…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A: Population of fish

Q: During the Covid-19 pandemic, the number of people that are infected at any time increases at a rate…

A: Solved below