TRANSPORTATION MODEL Warehouse C SUPPLY Factory 1 4 1 100 Factory 2 12 8 200 Factory 3 8. 10 16 150 Demand 80 90 120 160 450 450 USING THE ABOVE TRANSPORTATION TABLE, OBTAIN A FEASIBLE DISTRIBUTION PLAN USING THE NORTHWEST CORNER CELL METHOD. COMPUTE FOR THE TRANSPORTATION COSTS ASSOCIATED WITH THIS INITIAL SOLUTION.
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- Municipal Bond Funds The Pioneer Investment Management Municipal High Income fund (MHI) and the BlackRock Advisors BlackRock Municipal fund (BKK) are tax-exempt municipal bond funds. Suppose that in a certain year, the Pioneer fund was expected to yield 8%, while the BlackRock fund was expected to yield 4%. You would like to invest a total of up to $70,000 and earn at least $4,400 in interest in the coming year (based on the given yields). Draw the feasible region that shows how much money you can invest in each fund. (Place MHI on the x-axis and BKK on the y-axis.) The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window in the second quadrant, goes down and right, passes through the point (0, 70000), passes through the point (40000, 30000) crossing the second line, crosses the x-axis at x = 70000, and exits the window in the fourth quadrant. The second line enters the window in the second quadrant,…Municipal Bond Funds The Pioneer Investment Management Municipal High Income fund (MHI) and the BlackRock Advisors BlackRock Municipal fund (BKK) are tax-exempt municipal bond funds. Suppose that in a certain year, the Pioneer fund was expected to yield 8%, while the BlackRock fund was expected to yield 4%. You would like to invest a total of up to $70,000 and earn at least $4,400 in interest in the coming year (based on the given yields). Draw the feasible region that shows how much money you can invest in each fund. (Place MHI on the x-axis and BKK on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) (x, y) = (x, y) = (x, y) =A garden store prepares various grades of pine bark for mulch: nuggets (x1), mini-nuggets (x2), and chips (x3). The process requires pine bark, machine time, labor time, and storage space. The following model has been developed. Maximize 9x1 + 9x2+ 6x3 (profit) Subject to Bark 5x1 + 6x2 + 3x3 ≤ 600 pounds Machine 2x1 + 4x2 + 5x3 ≤ 600 minutes Labor 2x1 + 4x2 + 3x3 ≤ 480 hours Storage 1x1 + 1x2 + 1x3 ≤ 150 bags x1, x2, x3 ≥ 0 What is the new value of the objective function, if the profit on chips increases from $6 per bag to $7 per bag? The New Value Is=
- Exercise 13-50 (LO13-6) Mr. William Profit is studying companies going public for the first time. He is particularly interested in the relationship between the size of the offering and the price per share. A sample of 15 companies that recently went public revealed the following information. Size Price Size Price ($ millions), per Share, ($ millions), per Share, Company x y Company x y 1 9.0 10.8 9 160.7 11.3 2 94.4 11.3 10 96.5 10.6 3 27.3 11.2 11 83.0 10.5 4 179.2 11.1 12 23.5 10.3 5 71.9 11.1 13 58.7 10.7 6 97.9 11.2 14 93.8 11.0 7 93.5 11.0 15 34.4 10.8 8 70.0 10.7 Click here for the Excel Data File a. Determine the regression equation. (Round your answers to 4 decimal places.) b-1. To determine if the slope of the regression line is positive, state the decision rule for 0.05 significance level: H0: β ≤ 0; H1: β > 0. (Round your answer…Exercise 13-50 (LO13-6) Mr. William Profit is studying companies going public for the first time. He is particularly interested in the relationship between the size of the offering and the price per share. A sample of 15 companies that recently went public revealed the following information. Size Price Size Price ($ millions), per Share, ($ millions), per Share, Company x y Company x y 1 9.0 10.8 9 160.7 11.3 2 94.4 11.3 10 96.5 10.6 3 27.3 11.2 11 83.0 10.5 4 179.2 11.1 12 23.5 10.3 5 71.9 11.1 13 58.7 10.7 6 97.9 11.2 14 93.8 11.0 7 93.5 11.0 15 34.4 10.8 8 70.0 10.7 a. Determine the regression equation. (Round your answers to 4 decimal places.) b-1. To determine if the slope of the regression line is positive, state the decision rule for 0.05 significance level: H0: β ≤ 0; H1: β > 0. (Round your answer to 3 decimal places.) b-2.…a. The value of volume, V, of production above which site C is recommended= (?) Sport C150s (round your response up to the next whole number). b. The value of volume, V, of production above which site A is recommended= (?) Sport C150s (round your response up to the next whole number). c. Over what range of volume is site B optimal? ~hw2p2~
- Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,000 flashing lights per year and has the capability of producing 100 per day. Setting up the light production costs $50. The cost of each light is $1. The holding cost is $0.10 per light per year. a) What is the optimal size of the production run? b) What is the average holding cost per year? c) What is the average setup cost per year? d) What is the total cost per year, including the cost of the lights?A distribution company is considering two locations for the construction of a new automated warehouse: Chicago and Dallas. Two types of automation are also being considered: bar coding and RF/ID (radio-frequency identification). The annual operating costs for each type of automation at the two locations are: Bar Coding RF/ID Location Fixed Cost Variable Cost per 1,000 units Fixed Cost Variable Cost per 1,000 units Chicago $1,800,000 $12.30 $2,700,000 $9.70 Dallas 1,500,000 13.10 2,300,000 9.40 For what range of annual product volume handled would each location and type of automation be preferred?Company transport raw material from three different manufacturing plants to three warehouses. The supplies and demand requirements at the three plants and warehouses, and the transport cost per unit of raw material are as follows. Warehouses Plants X Y Z Supply 1 1 2 1 100 2 1 3 5 90 3 2 3 5 80 Demand 125 60 70 Determine the initial tableau using the minimum costs method. Construct the initial tableau using the Voguel method.
- You have taken a job with Afford Motor Company. The CEO, Kit Carson, has proposed that Afford Motors develop, manufacture, and sell an electric car that she claims will present a great business opportunity for Afford Motors and save the environment from global warming.After investigating numerous prototypes, you and your project team have determined that there are two cars that should be seriously considered: Model A and Model B. Characteristics of these two prototypes are indicated in the table below:R&D and tooling CostMSRPAvg Variable CostRange between Charges(KMS)No of Passengers(Including Driver)Crash test safety ratingModel A$100,000,000$17,500$5,0005024Model B$140,000,000$26,000$7,6008048.5The market research department has estimated that number of electric cars demanded will be a function of the future price of gasoline as well as the car’s characteristics. To forecast the future price of gas, you hired Sandy Shores, a well-known professor and consultant in the Puget…Exersise3: (a): Define the following terms: Management Science, Feasible region, Feasible Solution, Optimal Solution, Constraints, Extreme point, Objective function, Deterministic Model, Stochastic model and Sensitive analysis. (b): Find the Range of Optimality for c1 and c2 of the following LPP. Max z = 5x1 + 10x2 s.t., 2x1 + 3x2 < 25 x1 + 2 x2 < 35 and x1, x2 >Nutrition In a hospital ward, patients are groupedinto two general nutritional categories dependingon the amount of solid food in their diet, and areprovided two different diets with different amountsof solid foods and detrimental substances. The following table gives the patient groups, the weekly dietrequirements for each group, and the amount of detrimental substance in each diet. How many servingsof each diet will satisfy the nutritional requirementsand minimize detrimental substances? What is theminimum amount of detrimental substance?
