6 Variable Cells 7 8 9 10 11 12 Constraints 13 14 15 16 17 Cell $C$8 A $D$8 B Name Cell Name $B$15 demand for A LHS $B$16 total demand LHS $B$17 procssing time LHS Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 250 1E+30 1 100 0 0 250 350 600 Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 1E+30 50 125 0 4 -1 2 1 3 1E+30 Q1 what is the range for objective coefficient of A and B? 125 350 600 125 125 100 Q2 assume that the final value of B is 0 and the reduced cost of B is 1; explain the situation? Q3 if the objective coefficient of A goes down to 1 dollar and objective coefficient of B goes up to 4 dollars what will happen?
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- 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?SIMPLEX METHOD: Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 > 50 2X1 + 3X2 + X3 > 100 Based on the initial tableau, answer questions no. 1-5 What is the value of X3 on the Cj row? What is the value of S2 on the right-hand side/quantity column? What is the value of Zj on the right-hand side/quantity column? What is the value of X3 on the Cj – Zj row? What is the entering variable?5) Min C = X1 + X2 + X3(Don't use excel shortcut solve manually by Simplex LPP method)Subject toX1 – 3X2 + 4X3 = 5X1 – 2X2 <= 32X2 + X3 >=0And X1, X2, X3 >= 0
- 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?Write “True” if the statement is true and write “False” if the statement is false.1. With the emergence of the information era, companies need to create value from theirintangible assets as well as their physical and financial assets.2. The primary purpose of balanced scorecard is to obtain increased operating profits for thecurrent year.3. To achieve success, it is important to set non-financial objectives as well as financial objectives.4. Different value propositions lead to different balanced scorecards.5. A properly constructed balanced scorecard tells the story of a business unit’s strategy.6. Strategy is about selecting the set of activities in which the organization will excel to create asustainable difference in the market.7. The vision and mission statement set the general direction for the organization.8. To create the balanced scorecard, first measures are identified and then translated intoobjectives.9. One valuable measure for the customer perspective of the balanced…A)What would the model be if the minimum calories were 450? B)What happens to the model if the total Liquid value is 3? C)What happens in the model if the coefficient of the objective function of peanut butter is 8? D)What should be the coefficient of the objective function for the cracker to be the basic variable? None of above less than 5.50 less than 1.43 less than 7.76 less than 6.56 E)What is the objective function value? Please donot provide solution in image format and it should be in step by step format and provide solution asap
- 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…West Company’s contribution format income statement for March 2020 is givenbelow:Sales (15,000 units X $30 per unit) $450,000Variable expenses 315,000Contribution margin 135,000Fixed expenses 90,000Net operating income $ 45,000The industry in which West Company operates is quite sensitive to regularmovements in the economy. Thus, profits vary considerably from year to yearaccording to general economic conditions. The company has a large amount ofunused capacity and is studying ways of improving profits.Required:The company CEO has asked you as a Senior Manager to evaluate the belowsituations with recommendations:1- New equipment has come onto the market that would allow WestCompany to automate a portion of its operations. Variable expenseswould be reduced by $9 per unit. However, fixed expenses wouldincrease to a total of $225,000 each month. How Net Income wouldappear if the new equipment were purchased. As a Senior Manager,what factor/s would be paramount in your mind deciding…) Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket.The firm’s rackets are extremely light due to the use of a magnesium-graphite alloy that wasinvented by the firm’s founder. Each standard-size racket uses 0.125 kilograms of the alloy andeach oversize racket uses 0.4 kilograms; over the next two-week production period only 80kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturingtime and each oversize racket uses 12 minutes. The profit contributions are $10 for eachstandard-size racket and $15 for each oversize racket, and 40 hours of manufacturing time areavailable each week. Management specified that at least 20% of the total production must be thestandard-size racket. How many rackets of each type should CSD manufacture over the next twoweeks to maximize the total profit contribution? Assume that because of the unique nature oftheir products, CSD can sell as many rackets as they can produce.
- Integrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below: Year XT PC Sales Revenue($’000,000) All Industry PC Sales Revenue($’000,000,000) 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 Required:A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect). B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion?C. Advise management at Integrated Products Corporation (IPC) which of the twosales estimates from parts A and B above…Integrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below: Year XT PC Sales Revenue($’000,000) All Industry PC Sales Revenue($’000,000,000) 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 Required: A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect).B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion?Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.