Find Initial Basic Feasible Solution: 1 A∞ B Warehouse C D Supply 8 14 7 1 100 Plant 2 4 6 4 16 200 3 4 20 8 10 150 Demand 80 90 120 160 (i) (ii) North-West Corner Method Least Cost Method (iii) Vogel's Approximation Method
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- A manager uses this equation to predict demand for landscaping services: Ft = 14 + 4t. Over the past eight periods, demand has been as follows: Period, t: 1 2 3 4 5 6 7 8 Demand: 20 25 25 35 35 40 45 50 Compute the tracking signals for Periods 1-8. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.) Period t Tracking Signal 1 2 3 4 5 6 7 8A manager uses this equation to predict demand for landscaping services: Ft= 10 + 5t Over the past eight periods, demand has been as follows: Period, t: 1 Demand: 15 2 21 Period, t Tracking signal 1 2 3 4 5 6 7 8 3 23 30 5 32 6 38 42 Click here for the Excel Data File Compute the tracking signals for Periods 1-8. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.) 8 47Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.
- 2. Consider the transportation problem having the following parameter table (M is a big positive number) Source Demand 1 12345 2 3 5 1 2 3 343800 13 14 4 18 3 0 130940 Destination 4 5 22 29 18 21 M 3 5 26M940 16 M 11 24 34 19 23 11 4 6 Supply 0 ooooo 0 6 0 0 36 28 0 5 6 2 56743 (a) Use the northwest corner rule manually to obtain a complete initial BF solution, also find the objective value for this solution. How many basic variables are there in this solution? (b) Use Vogel's approximation method manually to select the first basic variable for an initial BF solution. (Attention, do not need to find an complete initial BF solution, just find the first BV for this initial BF solution)A careful analysis of the cost of operating an automobile was conducted by accounting manager Dia Bandaly. The following model was developed: y = 3,600+ 0.16x, where y is the annual cost and x is the miles driven. a) If the car is driven 15,000 miles this year, the forecasted cost of operating this automobile = $ b) If the car is driven 26,000 miles this year, the forecasted cost of operating this automobile = $ (enter your response as a whole number). (enter your response as a whole number).North Dakota Electric Company estimates its demand trend line (in millions of kilowatt hours) to be: D = 80.0 + 0.43Q, where Q refers to the sequential quarter number and Q = 1 for winter of Year 1. In addition, the multiplicative seasonal factors are as follows: Quarter Factor (Index) Winter 0.80 Spring 1.25 Summer 1.45 Fall 0.50 In year 26 (quarters 101-104), the energy use for each of the quarters beginning with winter is (round your response to one decimal place): Quarter Energy Use Winter 98.798.7 Spring nothing
- North Dakota Electric Company estimates its demand trend line (in millions of kilowatt hours) to be: D = 80.0 + 0.43Q, where Q refers to the sequential quarter number and Q = 1 for winter of Year 1. In addition, the multiplicative seasonal factors are as follows: Quarter Factor (Index) Winter 0.80 Spring 1.25 Summer 1.45 Fall 0.50 In year 26 (quarters 101-104), the energy use for each of the quarters beginning with winter is (round your response to one decimal place):North Dakota Electric Company estimates its demand trend line (in millions of kilowatt hours) to be: D = 80.0 + 0.50Q, where Q refers to the sequential quarter number and Q = 1 for winter of Year 1. In addition, the multiplicative seasonal factors are as follows: Quarter Factor (Index) Winter 0.80 Spring 1.25 Summer 1.50 Fall 0.45 In year 26 (quarters 101-104), the energy use for each of the quarters beginning with winter is (round your response to one decimal place): Quarter Energy Use Winter Spring Summer FallDefine the different components (y, x, a, and b) of a linearregression equation
- Problem A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as: Price = 150 − 0.01 × Demand for an annual printing of this particular product. The company is planning its productions for the year 2021. The company is considering the production of a certain number of 2,000 pages units. In 2019 the company had produced 4 similar units but with fewer pages count per unit (1,200; 1,400; 1800; and 1,900), and the material costs associated with those 4 units are (14.15 JD, 15.65 JD, 18.25 JD, and 18.90 JD respectively). The material cost index values were 185 for 2018, 193 for 2019, 200 for 2020, and 206 for 2021). The fixed costs per year (i.e., per printing) = 50,000 JD, and the variable cost will consist of the material cost and the labor cost. The company started to produce 2000 pages unit in 2021, and the project management team observed that 8.23 labor…Problem A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as: Price = 150 − 0.01 × Demand for an annual printing of this particular product. The company is planning its productions for the year 2021. The company is considering the production of a certain number of 2,000 pages units. In 2019 the company had produced 4 similar units but with fewer pages count per unit (1,200; 1,400; 1800; and 1,900), and the material costs associated with those 4 units are (14.15 JD, 15.65 JD, 18.25 JD, and 18.90 JD respectively). The material cost index values were 185 for 2018, 193 for 2019, 200 for 2020, and 206 for 2021). The fixed costs per year (i.e., per printing) = 50,000 JD, and the variable cost will consist of the material cost and the labor cost. The company started to produce 2000 pages unit in 2021, and the project management team observed that 8.23 labor…Cost Estimation; High-Low and Regression Methods The Mac Davis Company specializesin the purchase, renovation, and resale of older homes. Mac employs several carpenters and paintersto do the work for him. It is essential for him to have accurate cost estimates so he can determinetotal renovation costs before he purchases a piece of property. If estimated renovation costs plus thepurchase price of a house are higher than the house’s estimated resale value, it is not a worthwhileinvestment.Mac has been using the home’s interior square feet for his exterior paint cost estimations. Recentlyhe decided to include the number of external openings—the total number of doors and windows ina house—as a cost driver. Their cost is significant because they require time-consuming preparatorywork and careful brushwork. The rest of the house usually is painted either by rollers or spray guns,which are relatively efficient ways to apply paint to a large area. Mac has kept careful records of theseexterior…