The data shown are quarterly revenues (in $thousands) from Roget's Books from 2013-Q1 through 2020-Q2. Quarter 2013-1 2013-2 2013-3 2013-4 2014-1 2014-2 2014-3 2014-4 2015-1 2015-2 2015-3 2015-4 2016-1 2016-2 2016-3 2016-4 2017-1 2017-2 2017-3 2017-4 Revenue 2372 2740 2518 4708 2392 2811 2685 4795 2812 2893 2848 4894 2687 2903 2674 4871 2844 2933 2791 5252 Quarter 2018-1 2018-2 2018-3 2018-4 2019-1 2019-2 2019-3 2019-4 2020-1 2020-2 Revenue 2725 2924 3118 5112 2777 2949 3237 5350 3035 3028 7:04 Click here for the Excel Data File, Data file should open in a new browswer window. Select "File" then "Save As" to download the file to your computer and be able to use it in Excel. a. Determine the regression equation. Regression equation: ŷ = (Round to 1 decimal places.) b. Determine the specific index for each quarter places.) ndexes should be in decimal form (e.g. 1.36 not 136). Rounded to 2 decimal Quarter Quarterly Index Q1 Q2 Q3 Q4 c. What are the estimated sales (forecast) for the next three quarters? Values in Sthousands. Round to 2 decimal places.) ০
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.An automobile manufacturer is considering whether to introduce a new model called the Racer. The profitability of the Racer depends on the following factors: The fixed cost of developing the Racer is triangularly distributed with parameters 3, 4, and 5, all in billions. Year 1 sales are normally distributed with mean 200,000 and standard deviation 50,000. Year 2 sales are normally distributed with mean equal to actual year 1 sales and standard deviation 50,000. Year 3 sales are normally distributed with mean equal to actual year 2 sales and standard deviation 50,000. The selling price in year 1 is 25,000. The year 2 selling price will be 1.05[year 1 price + 50 (% diff1)] where % diff1 is the number of percentage points by which actual year 1 sales differ from expected year 1 sales. The 1.05 factor accounts for inflation. For example, if the year 1 sales figure is 180,000, which is 10 percentage points below the expected year 1 sales, then the year 2 price will be 1.05[25,000 + 50( 10)] = 25,725. Similarly, the year 3 price will be 1.05[year 2 price + 50(% diff2)] where % diff2 is the percentage by which actual year 2 sales differ from expected year 2 sales. The variable cost in year 1 is triangularly distributed with parameters 10,000, 12,000, and 15,000, and it is assumed to increase by 5% each year. Your goal is to estimate the NPV of the new car during its first three years. Assume that the company is able to produce exactly as many cars as it can sell. Also, assume that cash flows are discounted at 10%. Simulate 1000 trials to estimate the mean and standard deviation of the NPV for the first three years of sales. Also, determine an interval such that you are 95% certain that the NPV of the Racer during its first three years of operation will be within this interval.Referring to Example 11.1, if the average bid for each competitor stays the same, but their bids exhibit less variability, does Millers optimal bid increase or decrease? To study this question, assume that each competitors bid, expressed as a multiple of Millers cost to complete the project, follows each of the following distributions. a. Triangular with parameters 1.0, 1.3, and 2.4 b. Triangular with parameters 1.2, 1.3, and 2.2 c. Use @RISKs Define Distributions window to check that the distributions in parts a and b have the same mean as the original triangular distribution in the example, but smaller standard deviations. What is the common mean? Why is it not the same as the most likely value, 1.3?
- The annual demand for Prizdol, a prescription drug manufactured and marketed by the NuFeel Company, is normally distributed with mean 50,000 and standard deviation 12,000. Assume that demand during each of the next 10 years is an independent random number from this distribution. NuFeel needs to determine how large a Prizdol plant to build to maximize its expected profit over the next 10 years. If the company builds a plant that can produce x units of Prizdol per year, it will cost 16 for each of these x units. NuFeel will produce only the amount demanded each year, and each unit of Prizdol produced will sell for 3.70. Each unit of Prizdol produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. a. Among the capacity levels of 30,000, 35,000, 40,000, 45,000, 50,000, 55,000, and 60,000 units per year, which level maximizes expected profit? Use simulation to answer this question. b. Using the capacity from your answer to part a, NuFeel can be 95% certain that actual profit for the 10-year period will be between what two values?XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes one hour to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?andrew thomas , a sandwich vendor at hard rock cafe 's annual rockfest, created a table of conditional values for various alternatives adn states of nature: alternatives big average small large stock $22,000 $12,000 -$2,000 average stock $14,000 $10,000 $6,000 small stock $9,000 $8,000 $4,000 the probabilities associated with the states of nature are 0.3 for a big demand, 0.5 for an anverage demand, and 0.2 for a small demand. a) determine the alternative that provides andrew the greatest expected monetary value (EMV). b) compute the expected value of perfect information (EVPI).
- Struggling with answering this question A manufacturer produces three types of humidifiers. The retail price of Humidifier Regular (HR) is $60 with variable costs of $20. Humidifier Advanced (HA) sells for $200 for its advanced features. This model’s variable costs are $80. Humidifier Simple (HS) is a simplified version and only sells for $25 with variable costs of $15. The manufacturer has machines and facilities worth $320,000 annually. The sales data show that 1000 units of HR, 2000 units of HA, and 10,000 units of HS was sold last year. Calculate the break-even point of the firm. The firm has some idle capacity at these volumes and chooses to cut the selling price of HR from $60 to $45, believing that its sales volume will rise from 1000 units to 2500 units. What is the revised break-even point?XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes 1.5 hours to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?Angel owns a Merchandising business that sells imported mugs from the asian countries. Angel purchases these mugs from an outside supplier, once every quarter. She needs to estimate the total quantities to be purchased in order to properly meet product demands for each quarter, without having to incur stock outs and loss of customers. Angel has forecasted that unit sales for each quarter will be as follows:1st quarter: 150002nd Quarter: 250003rd quarter: 350004th quarter: 40000Angel has initiated a policy that 10% of the anticipated sales for the following month must be kept minimum balance of the previous month's inventory. As the beginning of the 1st quarter, there are 15,000 mugs unsold and Angel plans to keep 18,000 mugs by the end of the fourth quarter. Each mug costs ₱75.00.a. Prepare a purchases budget expressed in quantities to be purchased.b. Prepare a purchases budget expressed in peso value.
- The LP relationships that follow were formulated by Richard Martin at the Long Beach Chemical Company. Maximize 4X1+12X1X2+5X3 Subject to: 2X1X2+2X3≤70 (C1) 10.9X1−4X2≥15.6 (C2) 10X1+3X2+3X3≥21 (C3) 16X2−13X3=17 (C4) −4X1−X2+4X3=5 (C5) 7X1+2X2+3X3≤80 (C6) For an LP, the objective function developed by Richard is (valid or onvalid) . Constraint C1 is a(n) (valid or onvalid) LP constraint. Constraint C2 is a(n) (valid or onvalid) LP constraint. Constraint C3 is a(n) (valid or onvalid) LP constraint. Constraint C4 is a(n) (valid or onvalid) LP constraint. Constraint C5 is a(n) (valid or onvalid) LP constraint. Constraint C6 is a(n) (valid or onvalid) LP constraint.Thorne Estates Limited advertises and sells residential property on behalf of its customers. The company has been in business for only a short time and is preparing a cash budget for first four months of 2021. Expected sales of residential properties are as follows: 2020 2021 Month Dec Jan Units Sold 10 10 2021 2021 2021 Feb Mar Apr 15 25 30 The average price of each property is £180,000 and Thorne Estates charges a fee of 3% of the value of each property sold. Thorne Estates receives a 1% in the month of sale and the remaining 2% in the month after sale. The company has nine employees who are paid on a monthly basis. The average salary per employee is £35,000 per year. If more than 20 properties are sold in a given month, each employee is paid in that month a bonus of £140 for each additional property sold. Variable expenses are incurred at the rate of 0.5% of the value of each property sold and these expenses are paid in the month of sale. Fixed overheads of £4,300 per…Clippers Inc. (CI) manufactures two types of garden clippers. A light-duty model, called the “half-inch,”is intended for clipping branches and stems up to one-half inch thick. The “one-inch” model is designedfor heavier stems and branches. To boost sales, CI decided at the beginning of the current year to reducethe price of the half-inch model to better position its price relative to some key competitors. On the otherhand, CI felt that the one-inch model was technically superior to competitors’ models and decided that asmall price increase was appropriate. The data for the current and prior year are as follows:Current Year Prior YearSales units 7,200 6,500Sales mix for each productHalf-inch model 50% 30%One-inch model 50% 70%PriceHalf-inch model $12.00 $14.00One-inch model $36.00 $32.00Variable cost per unitHalf-inch model $6.00 $6.00One-inch model $8.00 $8.00Fixed cost $35,000 $35,000Required1. Prepare a comparative contribution income statement for CI for the current year that shows…