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Strayer MAT540 week 9 quiz 4




Question;Question 1In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities.AnswerTrueFalse2 points Question 2When using a linear programming model to solve the "diet" problem, the objective is generally to maximize profit.AnswerTrueFalse2 points Question 3In formulating a typical diet problem using a linear programming model, we would expect most of the constraints to be related to calories.AnswerTrueFalse2 points Question 4Product mix problems cannot have "greater than or equal to" (?) constraints.AnswerTrueFalse2 points Question 5A constraint for a linear programming problem can never have a zero as its right-hand-side value.AnswerTrueFalse2 points Question 6In a media selection problem, instead of having an objective of maximizing profit or minimizing cost, generally the objective is to maximize the audience exposure.AnswerTrueFalse2 points Question 7When systematically formulating a linear program, the first step isAnswerConstruct the objective functionFormulate the constraintsIdentify the decision variablesIdentify the parameter values2 points Question 8The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents per pound, respectively. Five essential ingredients are contained in the feed, shown in the table below. The table also shows the minimum daily requirements of each ingredient.IngredientPercent per pound in Feed APercent per pound in Feed BMinimum daily requirement (pounds)1202430230105030302042415605102040The constraint for ingredient 3 is:Answer.5A +.75B = 20.3B = 20.3 B? 20.3B? 202 points Question 9Balanced transportation problems have the following type of constraints:Answer??=all the above2 points Question 10The following types of constraints are ones that might be found in linear programming formulations:1.?2.=3.>Answer1 and 22 and 31 and 3all of the above2 points Question 11Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8,000 gallons of component 1 available, and the demand gasoline types 1 and 2 are 11,000 and 14,000 gallons respectively. Write the supply constraint for component 1.Answerx21 + x22? 8000x12 + x22? 8000x11 + x12? 8000x21 + x22? 80002 points Question 12In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25, and $110, respectively. The investor has up to $50,000 to invest. The expected returns on investment of the three stocks are 6%, 8%, and 11%. An appropriate objective function isAnswerMAX.06X1 +.08X2 +.11X3MAX.06(15)X1 +.08(47.25)X2 +.11(110)X3MAX 15X1 + 47.25X2 +.110X3MAX (1/.06)X1 +.(1/08)X2 + (1/.11)X32 points Question 13A systematic approach to model formulation is to firstAnswerconstruct the objective functiondevelop each constraint separatelydefine decision variablesall of the above 2 points Question 14A croissant shop produces 2 products: bear claws (B) and almond filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today's production run. Bear claw profits are 20 cents each, and almond filled croissant profits are 30 cents each. What is the optimal daily profit?Answer$380$400$420$4402 points Question 15In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25, and $110, respectively. The investor has up to $50,000 to invest. The stockbroker suggests limiting the investments so that no more than $10,000 is invested in stock 2 or the total number of shares of stocks 2 and 3 does not exceed 350, whichever is more restrictive. How would this be formulated as a linear programming constraint?AnswerX2? 10000 X2 + X3?35010,000 X2? 350X2 + 350X347.25X2?10,000 X2 + X3? 35047.25X2?10,000 47.25 X2 + 110X3? 3502 points Question 16The production manager for the Softy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of her resources are constraint production time (8 hours = 480 minutes per day) and syrup (1 of her ingredient) limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the optimal daily profit?Answer$220$420$320$2802 points Question 17Compared to blending and product mix problems, transportation problems are unique becauseAnswerThey maximize profit.The constraints are all equality constraints with no "?" or "?" constraints.They contain fewer variables.The solution values are always integers.2 points Question 18Assume that x2, x7 and x8 are the dollars invested in three different common stocks from New York stock exchange. In order to diversify the investments, the investing company requires that no more than 60% of the dollars invested can be in "stock two". The constraint for this requirement can be written as:Answer.4x2 -.6x7 -.6x8? 0x2?.60 (x2 + x7 + x8).4x2 -.6x7 -.6x8? 0-.4x2 +.6x7 +.6x8? 02 points Question 19Kitty Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition. The kennel's cat food is made by mixing two types of cat food to obtain the "nutritionally balanced cat diet." The data for the two cat foods are as follows:Kitty Kennels wants to be sure that the cats receive at least 5 ounces of protein and at least 3 ounces of fat per day. What is the cost of this plan?Express your answer with two places to the right of the decimal point.For instance, $9.32(nine dollars and thirty-two cents) would be written as 9.32Answer2 points Question 20Quickbrush Paint Company makes a profit of $2 per gallon on its oil-base paint and $3 per gallon on its water-base paint. Both paints contain two ingredients, A and B. The oil-base paint contains 90 percent A and 10 percent B, whereas the water-base paint contains 30 percent A and 70 percent B. Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time. The company wishes to use linear programming to determine the appropriate mix of oil-base and water-base paint to produce to maximize its total profit. How many gallons of water based paint should the Quickbrush make?Note: Please express your answer as a whole number, rounding the nearest whole number, if appropriate.Answer


Paper#60683 | Written in 18-Jul-2015

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