Linear Programming Questions and Answers

thadone is a synthetic drug whose effect on the body is similar to that of morphine and heroin Methadone has been used to help people control their addictions to these other drugs At one time the governor of Florida vetoed a million dollar appropriation for several Methadone clinics in the state Some constituents thought Methadone use had gotten out of hand The following histogram summarizes information from a study of 31 Florida Methadone clinic patients Florida s projected mean daily dosage per Methadone clinic patient was about 100 milligrams Frequency 12 10 8 6 4 24 0 4 10 11 milligrams 4 2 0 49 50 99 100 149 150 199 200 249 Daily Methadone dosage in milligrams Based on the histogram using the midpoint of each data class estimate the mean daily Methadone dosage for the Methadone clinic patients in the study Carry your intermediate computations to at least four decimal places and round your answer to one decimal place

The half life of Palladium 100 is 4 days After 12 days a sample of Palladium 100 has been reduced to a mass of 5 mg What was the initial mass in mg of the sample What is the mass 4 weeks after the start

If the mean score on a math quiz is 12 7 and 45 2 of the students in your class scored between 12 1 and 13 3 determine the standard deviation of the quiz scores Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table The standard deviation of the quiz scores is Round to one decimal place as needed

A vending machine is designed to dispense a mean of 7 8 oz of coffee into an 8 oz cup If the standard deviation of the amount of coffee dispensed is 0 2 oz and the amount is normally distributed find the percent of times the machine will dispense less than 7 94 oz Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table O The percentage of times the machine will dispense less than 7 94 oz is Type an integer or a decimal rounded to two decimal places as needed

Keisha will donate up to 460 to charity The money will be divided between two charities the City Youth Fund and the Educational Growth Foundation Keisha would like the amount donated to the Educational Growth Foundation to be at least twice the amount donated to the City Youth Fund Let x denote the amount of money in dollars donated to the City Youth Fund Let y denote the amount of money in dollars donated to the Educational Growth Foundation Shade the region corresponding to all values of x and y that satisfy these requirements 520 410 440 400 300 24 200 kto 120 120 30 40 B

ct 17th K Question 6 of 7 quiz point s possib This question 1 point s possible Find the rounded population of the following territories a The first territory whose population was 3 185 799 rounding to the nearest ten thousand b The second territory whose population was 48 517 916 rounding to the nearest million a The first territory whose population was 3 185 799 rounding to the nearest ten thousand million b The second territory whose population was 48 517 916 rounding to the nearest million

Two kinds of crated cargo A and B are to be shipped by truck The weight and volume of each type are given in the following table A B Volume 50 cubic feet 10 cubic feet Weight 200 pounds 360 pounds The shipping company charges 75 per crate for cargo A and 100 per crate for cargo B The truck has a maximum load limit of 7 200 pounds and 1 000 cubic feet How many of each type of cargo should be shipped to maximize profit for the shipping company OA 18 crates of cargo A and 10 crates of cargo B B 20 crates of cargo A and 0 crates of cargo B C 10 crates of cargo A and 18 crates of cargo B D 0 crates of cargo A and 20 crates of cargo B

Find the least prime p such that x2 x 1 is irreduci ble over F

Other things being equal the elasticity of demand for a product will be greater if there are few or no substitutes available if it is a small part of the consumer s budget in the long run as compared to the short run all of the above

Let A be a 7 x n matrix with full rank. Which of the following statements about the number of solutions of Ax = b is NOT true? O If n = 5, the number of solutions may be ∞. O If n = 5, the number of solutions may be 0. O If n = 5, the number of solutions may be 1. O If n = 7, the number of solutions is necessarily 1. O If n 10, the number of solutions is necessarily . =

Let A be a 7 x n matrix with full rank. Which of the following statements about the number of solutions of Ax = b is NOT true? If n = 5, the number of solutions may be 0. If n = 10, the number of solutions is necessarily . If n = 5, the number of solutions may be 0. If n = 7, the number of solutions is necessarily 1. if n = 5, the number of solutions may be 1.

A 3500 lb jeep is traveling up the slope ( = 10°) shown at constant speed. If the maximum power output of the engine is 125 hp, at what speed can the jeep travel in mph up the incline. Air resistance is negligible.

c) Determine if the system is consistent or inconsistent. If consistent, determine the basic and free variables of the system and find the general solution of the system in the vector form. -1 33 17

(1 point) Determine three angles which are coterminal with 165°: 0, 0

makes the remember the brand. O Repetitive advertisement, products O Consumer preference, products O Repetitive advertisement, consumer

Use modified Newton's method to minimize the function ƒ (x) = x1 − x2 + 2x² + 2x₁x₂ + x²

In your own words, how do you read the solution from the final simplex tableau?

Use the simplex method to minimize the following Minimize g = 4y1 + 3y2 subject to y1 + 2y2 ≥ 12 2y1 + y2 ≥ 9 y1 ≥ 0, y2 ≥ 0 If no solutions exist enter DNE in all answer boxes. y1= y2= g=

Use the simplex method to minimize the following: Minimize g = 5y1 + 3y2 subject to 3y1 + y2 > 45 y1 + y2 > 33 y1 + 2y2 > 55 y1 > 0, y2 > 0 If no solutions exist enter DNE in all answer boxes. y1 = y2 = g=

Use the simplex method to minimize the following : Minimize g = 2y₁ + 4y₂ subject to 4y₁ + y₂ ≥ 116 y₁ + 4y₂ ≥ 164 y₁ ≥ 0, y₂ ≥ 0 If no solutions exist enter DNE in all answerboxes. y₁ = _______ y₂ = _______ g = _______

Use a suitable linearization to find an approximate value of – sin(36°) = - sin(π/5) as follows: (a) Explain why 30º = π/6 is a good tabular point; (b) Give the equation of the tangent line at the tabular point and the value of the approximation; (c) Give an upper bound for the error function |E (36°)|; (d) Show that - sin(36°) ∈ (-0.59068, -0.59681).

The scores for 20 students on a 50-point math test are 44, 37, 42, 35, 34, 38, 46, 50, 41, 36, 30, 48, 49, 39, 45, 31, 47, 40, 43,32. (a) Find the percentile rank for a score of 42. A test score of 42 is equivalent to the ____ percentile.

Solve the following initial-value problem using integrating factor and write your answer explicitly without integral t(dy/dt) +3t²y = 3t², y(0) = 3

Suppose that the random variables Z₁, Z₂ and Z3 have the sample correlation matrix: 1 1/5 1/4 R= 1/5 1 1/3 1/4 1/3 1 (i) Find the exact one-factor solution for the correlation matrix R and write down the factor loadings and specific variances for the one-factor model. (ii) Use the principal component method to calculate the factor loadings and specific variances of the two-factor solution for R.

A CALL is priced at $4.45 with an exercise of $30.00 and 13 months to expiration. What is the price of the underlying STOCK (SO) if a PUT with the same exercise and time to expiration has a premium of $2.58. The risk-free rate is currently 4.00%. Assume put/call parity, continuous compounding, and 12 months per year. 34.68 36.03 32.68 30.60 31.87

Consider a high-growth stock, intrinsically valued at 305.4. Its forward P/E ratio is 60 and an appropriate required rate of return is 0.16. The company pays no dividends. How much of the current stock value is represented by the firm's growth opportunities in dollars? Hint: Use the P/E ratio to estimate earnings with PO=value. 273.59 288.50 258.40 297.94 249.51

A firm has a required rate of return of 0.13. Its expected RE is 0.14 and expected earnings per share are 7.5. If the firm's plowback ratio is 0.61, what is the firm's sustainable or intrinsically justifiable P/E ratio? 9.531 10.755 8.744 9.216 10.121

The S&P500 index is currently valued at 2755. What should be the price (FO) on the futures contract expiring 14 MONTHS from now if the S&P500 has a dividend yield of 1.50%, the rf is 2.25%, and the S&P500 has an expected return of 15.00%? Assume the risk-free rate and yields are annualized, and there are 12 MONTHS per year. 2,741.19 2,763.83 2,779.12 2,729.10 2,751.05

You are a buyer for a manufacturer of chocolates and candies and have been told to hedge the cocoa and sugar needed for production of your upcoming orders. What is true below AND suggests you might prefer to hedge your needs using ONLY FUTURES contracts (i.e. exchange-traded, standardized) rather than using FORWARD contracts (i.e. directly with known suppliers)? FUTURES contracts may be customized to the buyer's and seller's specific terms FORWARD contracts can be easily offset if you don't want to take delivery at the time of expiration FUTURES contracts expose you to higher contra-party (counterparty) risk FUTURES contracts are less liquid and have a limited resale market FUTURES contracts have margin requirements and are marked to market daily to ensure parties perform financially

Using the three-stage DDM, what is the intrinsic value of a firm with current dividends of 7.45 per share, a discount rate of 0.11, and growth for the first 4 years of 0.18, after which growth will decline at a constant rate until year 9 and then the firm will grow indefinitely at a rate of 0.05? 214.12 248.47 257.41 221.88 235.30

If the stand-alone method were used, what amount of cost would be allocated to Burger Shot? $175,000 $200,000 $177,492 $171,429 $150,000

The total amount allocated from support departments to operating departments will differ depending on the cost allocation method used. Stated differently, the total amount of support department costs that would be allocated to operating departments depends on the cost allocation method used. True False

Find the least square linear approximation g(x)=a+bx, to f(x)= cos(x) over [0,x]

What is likely to be the biggest barrier for a company to implementing an ABC system (meaning, what might keep a company that could benefit from an ABC system from implementing one)?

As an expert in cost accounting, would you be likely to recommend an Activity-Based Costing system to a company that manufactures a single product? Why or why not?

What might motivate two companies that are negotiating the allocation of common cost to use the Shapley value method instead of the incremental method?

Conduct a hypothesis testing to the claim about a population proportion. A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 500 memory cards, it is found that 2% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that no more than 1% are defective.

3. Using the Sequential Linear programming problem, show the first sequence of minimizing operations with the linearization of objective function and constraints. Starting point is x-(-3,1) Minimize 3x-2xy +5y² +8y Constraints: -(x+4)²-(y-1)² +4≥0 y+x+ 2.7≥0 The resulting LPP may be solved either graphically or analytically. Use the Frank-Wolfe method to find the starting point of the next iteration xj.

There is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.78%. Suppose that this mean applies to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least ? of the relative increases in stock price lie within 2.5 standard deviations of the mean, 0.78 %. (b) Suppose that the distribution is bell-shaped. If approximately 99.7% of the relative increases in stock price lie between 0.21 % and 1.35 %, then the approximate value of the standard deviation for the distribution, according to the empirical rule, is .

Solve the linear programming problem. Maximize P=6x+6y Subject to 2x+y ≤ 10 x + 2y ≤ 8 x, y ≥ 0 Select the correct choice below and fill in any answer boxes present in your choice. Wha is the maximum value of P? A. P= (Type an integer or a fraction.) B. There is no maximum value of P.

The tourist bureau of the Caribbean Islands surveyed a sample of 5 United States tourists as they left to return home. The tourists were asked how many days they spent on their visits. Their responses were as follows. 4, 9, 12, 10, 10 Send data to calculator Find the standard deviation of this sample of numbers. Round your answer to two decimal places.

Below are the times (in days) it takes for a sample of 6 customers from Dante's computer store to pay their invoices. 38, 24, 34, 20, 32, 44 Send data to calculator Find the standard deviation of this sample of times. Round your answer to two decimal places.

Thomson Co. produces and distributes semiconductors for use by computer manufacturers. Thomson issued $930,000 of 20-year, 8% bonds on May 1 of the current year at face value, with interest payable on May 1 and November 1. The fiscal year of the company is the calendar year. May Issued the bonds for cash at their 1 face amount. Nov. 1 Paid the interest on the bonds. Dec. Recorded accrued interest for two 31 months. Journalize the entries to record the above selected transactions for the current year. If an amount box does not require an entry, leave it blank. May 1 ash Bonds Payable Nov. 1 Interest Expense Cash 38 Feedback Check My Work Bonds payable is always recorded at face value. The semi-annual cash payment to bondholders is the interest expense when bonds are sold at face value. Dec. 31 Interest Expense Interest Payable

An $800,000 bond issue on which there is an unamortized premium of $57,000 is redeemed for $785,000. Journalize the redemption of the bonds. If an amount box does not require an entry, leave it blank. Bonds Payable Premium on Bonds Payable Gain on Redemption of Bonds Cash Feedback Check My Work The gain or loss is the balancing amount needed to complete the entry and is the difference between the carrying amount of the bonds and the redemption price. A corporation usually redeems its bonds at a price different from that of the carrying amount of the bonds.

Plot 2 1/3 and 1 1/2 on the number line below.

Plot 5/8 and 1 1/4 on the number line below.

The Ski Jump Problem: Now for the penultimate problem. You have been hired to design a ski jump. You will determine a polynomial of the smallest degree with the following conditions. The ski jump starts at a height of 33.5 m and finishes at a height of 3.2 m. From start to finish, the ski jump covers a horizontal distance of 40 m. A skier at the top of the jump will start off horizontally and will take off at the end at an angle of 30 degrees from the horizontal. Find and plot the polynomial whose graph is a side view of the ski jump. Be careful, points are not all known, but you do know slope information, recall your calculus and basic triangle trigonometry. Determine the coefficients of the polynomial, write out the polynomial and plot the polynomial in Matlab over the domain [0, 40]. Provide the polynomial, explicitly written out, and a copy of your ski jump plot with the original data indicated on the plot (as was done in the example)

How does a company using variable costing account for its fixed manufacturing costs? Record them into the fixed manufacturing overhead accounts and then allocate them to WIP as a product cost Record them into the fixed manufacturing overhead accounts and expense them as period costs Capitalize them directly in the WIP account as a product cost Directly expense them to COGS as period costs

Now suppose that Brewster is currently producing and selling 10,000 coffee-mugs. If Brewster accepts XYZ's special order, then Brewster will have to sell 150 fewer coffee-mugs to its current customers. At what price would Brewster be indifferent between accepting the special order from XYZ or continuing to sell to its current customers at $40? $20 $45 $38 $40 $25

The 6 participants in a weight-loss class lost the following weights (in pounds) after three weeks of dieting. 5, 3, 0, 3, 6, 1 Send data to calculator Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.