Linear Programming Questions and Answers

Graph the inequality y x 1 Use the graphing tool on the right to graph the inequality 10 8 6 4 2 Ay X Click to 10 B 2 10 enlarge graph 2 4 6 8

In the mid 1950s women made up only about one third of the enrollment at institutions of higher education By the 2000s approximately 57 of college students were women 1 We can write linear functions M t and F t which approximate the number of male and female students in higher education Here M t and F t are measured in thousands of students and t is the number of years after 1957 1 National Center for Education Statistics 2013 Retrieved and adapted from http nces ed gov programs digest d13 tables dt13 303 10 asp The following table provides the number of male students M t in higher education years after 1957 Use the table to answer the following questions t years after 1957 M t thousands of students 2 3377 3569 4 6 3761 Part A Calculate the growth rate of the male student population and give your answer using appropriate units Make sure you can explain in a complete sentence if this value indicates the population is growing or decreasing Answer thousand male students per year Part B Use your answer from Part A to estimate the number of male students in higher education in the year 1965

A diet is to contain at least 969 units of carbohydrates 1348 units of proteins and 1222 calories Two foods are available F which costs 0 06 per unit and F which costs 0 08 per unit A unit of food F contains 1 units of carbohydrates 2 units of proteins and 8 calories A unit of food F contains 9 units of carbohydrates 8 units of proteins and 2 calories Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements Corner points of the feasible region If there is more than one corner point type the points separated by a comma i e 1 2 3 4 Minimum cost is when F and F units units

Blink Appliances plans to order microwaves and stoves Each microwave requires 2 hours to unpack and set up in the storeroom and each stove requires 4 hours The storeroom space is limited to 64 items The budget of the store allows only 236 hours of employee time for unpacking and setup Microwaves yields a profit of 137 each and stoves yields a profit of 180 each How many of each should the store order to maximize profit Number of microwaves to order is Number of stoves to order is

A couple wants to invest up to 20000 They can purchase a type A bond yielding 11 return and a type B bond yielding a 12 5 return on the amount invested They also want to invest at least as much in the type A bond as in the type B bond They will also invest at least 10000 in type A and no more than 15000 in type B bond How much should they invest in each type of bond to maximize their return Let a be the amount invested in type A bond and y the amount invested in type B bond a Write the objective function to be maximized P b The feasible region has 3 corner points List the three points Corner points c Determine the amount to be invested in each bond to maximize the return and determine the maximum return Amount to be invested in type A bonds Amount to be invested in type B bonds Maximum return is

Three people invest in a treasure dive each investing the amount listed below The dive results in 34 golc coins Using Hamilton s method apportion those coins to the investors based on their investment Investor Investment Allocation of 34 coins Dawn 13 056 Kosumi 11 464 Heaven 2 680 Right before the coins are distributed the divers find one more coin they had misplaced Redo the allocation now with 35 coins Investor Investment Allocation of 35 coins Dawn 13 056 Kosumi 11 464 Heaven 2 680

Pizza House offers 3 different salads 2 different kinds of pizza and 5 different desserts How many different three course meals can be ordered There are different meals that can be ordered Type a whole number

Some salespeople have their commission increased according to how much they sell A salesperson gets a commission of 4 for the first 2500 and 6 on the account over 2500 What is the total commission on sales of 7500 The sales person s total commission is

Uneven cashflows 6 Ms Alana deposits 2000 every year for 4 years in a savings account that pays interest at 8 compounded annually She plans to withdraw all the money in her account at the end of Year 6 What is the amount that she withdraws Year Cashflow 0 1 2 3 4 5 10 6

1 Mr Wallace has promised his granddaughter that he will provide 50 000 to help her pay for college She plans to start college in 8 years How much must Mr Wallace deposit every year into an account that pays 5 5 interest compounded annually to have the money in 8 years

Consider the figures to the right Assume that one number from 1 to 7 is equally likely to be selected at random Each number corresponds to one of the seven figures Determine the probability of selecting an even number given that a square is selected 1 2 3 4 5 6 red blue yellow red yellow blue red The probability of selecting an even number given that a square is selected is Type an integer or a simplified fraction

Substitution Find the solution using the Y UX or U x 14 1 2 Y dy I x dx

5 10 pt A pie of temperature 200 degrees is placed in a refrigerator of temperature 30 degrees Start with the Newton s Law of Cooling k T T T 0 To with k 01 and solve the dT dt initial value problem to find the temperature of the pie over time T t Show your work

1 6 Find the area of a rectangle that is 16 in by 19 in The area is Simplify your answer Type a mixed number

A rain gutter is to be installed around a house whose foundation is shown to the right Find the perimeter of the house then find the total cost of the gutter The gutter costs 4 34 per ft The perimeter is The total cost of the 34 ft 19 ft 73 ft 31 ft

Required information The following information applies to the questions displayed below In each of the following independent cases indicate the amount 1 deductible for AGI 2 deductible from AGI and 3 deductible neither for nor from AGI before considering income limitations or the standard deduction Note Leave no answer blank Enter zero if applicable a Ted paid 84 rent on a safety deposit box at the bank In this box he kept the few shares of stock that he owned Deductible for AGI Deductible from AGI Not deductible

Find the consumers surplus and the producers surplus at the equilibrium price level for the given price demand and the producers surplus p D x 80e 0 001x p S x 25 0 0001x The consumers surplus is approximately 6980 Round to the nearest dollar as needed The producers surplus is approximately Round to the nearest dollar as needed

Whites often unintentionally unknowingly benefit

A company purchased 1 800 of merchandise on July 5 with terms 2 10 n 30 On July 7 it returned 200 worth of merchandise On July 12 it paid the full amount due Assuming the company uses a perpetual inventory system and records purchases using the gross method the correct journal entry to record the payment on July 12 is Multiple Choice O Debit Merchandise Inventory 1 600 credit Cash 1 600 Debit Cash 1 600 credit Accounts Payable 1 600 Debit Accounts Payable 1 600 credit Merchandise Inventory 32 credit Cash 1 568 Debit Accounts Payable 1 800 credit Cash 1 800 Debit Accounts Payable 1 600 credit Cash 1 600

Solve the linear programming problem z 5x 5y 7x 6y 133 18x 7y 185 Maximize subject to x y 45 x 0 y20

B A W18 x 71 is used as a beam with an unbraced length of 9 feet Use F 65 ksi and C 1 and compute the nominal flexural strength Compute everything with the equations in Chapter F of the AISC Specification

Physical Activity 1 Using a periodic table fill in the blanks to complete the following nuclear equations Then identify which type of decay particles were produced Hi lite the alpha particle with green beta particles with blue and gamma rays with yellow Kindly use RED INK in answering 1 2 4 12Ke 3 21Pb 5 35 13C H 56 35CL 206Hg 80 He 207T1 ie Ni 6 7 Baie 8 Mg 9 5N H 2C 10 Be H 22 Mg 3C He alpha beta Gamma

Assume that sentence is a variable of type string that has been assigned a value Assume furthermore that this value is a string consisting of words separated by single space characters with a period at the end For example This is a possible value of sentence Assume that there is another variable declared firstWord also of type string Write the statements needed so that the first word of the value of sentence is assigned to firstWord So if the value of sentence were Broccoli is delicious your code would assign the value Broccoli to firstWord

The failure to properly record an adjusting entry to accrue an expense will result in an overstatement of expenses and an understatement of assets O understatement of expenses and an overstatement of liabilities O understatement of expenses and an overstatement of assets O understatement of expenses and an understatement of liabilities

asset 2 Why is the world a better place because I m in it 3 What is your most vivid memory of my childhood 4 What is the nicest thing I have ever done for you 5 What do you see me doing in 10 years 6 Can you suggest an item that would signify what type of person I am

USA Today reported that about 47 of the general consumer population in the United States is loyal to the automobile manufacturer of their choice Suppose Chevrolet did a study of a random sample of 1009 Chevrolet owners and found that 486 said they would buy another Chevrolet Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47 Use a 0 01 a What is the level of significance 0 01 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 47 H P 0 47 b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 2 1 0 0 1 1 2 2 3 3 O 3 2 1 3 2 0 1 1 0 1 2 2 3 3 n

Derivatives Course Packet on basic rules of differentiation an exam Let f x 2x2 9x 6 9 2 Compute f x f x Submit Answer

For every 1 increase in price 10 fewer tickets will be sold Determine the price that should be charged so that revenue is maximized Let x represent the price of a season ticket Q1 1 Q 1 1 17 Points Determine a formula for the linear function relating the price x and quantity y of concert ticket sold Consider writing two points price quantity first Define all variables Include units Upload a pdf in the correct orientation for CREDIT Please select file s Select file s Save Answer Q1 2 17 Points Set up a simplified equation to represent the monthly revenue Define all variables Include units

A random sample of medical files is used to estimate the proportion p of all people who have blood type B LUSE SALT a If you have no preliminary estimate for p how many medical files should you include in a random sample in order to be 850 sure that the point estimate p will be within a distance of 0 06 from p X medical files b Answer part a if you use the preliminary estimate that about 8 out of 90 people have blood type B Round your answer u to the nearest whole number