An NC winery makes 4 types (1-4) of wine measured in gallons per year.Maximize profit.Formulate the LP and solve in a solver.Production involves Labor, Tank mixing time, Warehouse Aging.Local emissions laws limit total annual production to 100000 gallonsWine1234Capacity:profit Labor Hrsgallon6122030gallon.2.3.3.512000TankHrsgallon.5.511.532000Answers rounded DOWN to nearest integer:Total annual profitTotal amount of wine 1 in optimal solutionTotal amount of wine 4 in optimal solutionAgingWarehouse.333 year1year2years3.333years50000gallons

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Answered: An NC winery makes 4 types (1-4) of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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5. Myco is considering the introduction of three new products. For each product, thelabor and raw material requirements per unit produced are shown in the followingtable.Labor Raw Materials ProfitProduct (hours/unit) (pounds/unit) ($/unit)1 3 4 252 4 3 303 5 6 22Myco must pick one of its two plants to produce these three new products. If Mycouses the East Plant, there will be 100 labor hours and 100 pounds of raw materialsavailable each day. If Myco uses the West Plant, there will be 90 labor hours and 120pounds of raw materials available each day.Formulate an integer program to help Myco determine which plant to use and howmuch of each product to produce at the selected plant. (Only whole units can beproduced.) The objective is to maximize profit. Make sure to define your variablesand provide a brief yet descriptive label for your constraints
49. Maintenance costs for a new facility are expected to be $1i12,000 for the first year of operation. It is anticipated that these costs will increase at a rate of 8 percent per year. Assuming a rate of return of 10 percent, what is the present value of the stream of maintenance costs over the next 30 years?
Dana’s Ribbon World makes award rosettes. Following is information about the company: Variable cost per rosette $ 2.00 Sales price per rosette $ 6.00 Total fixed costs per month $ 6000.00 Required: 1. Suppose Dana’s would like to generate a profit of $1,120. Determine how many rosettes it must sell to achieve this target profit. 2. If Dana’s sells 2,140 rosettes, compute its margin of safety in units, in sales dollars, and as a percentage of sales. 3. Calculate Dana’s degree of operating leverage if it sells 2,140 rosettes. 4a. Using the degree of operating leverage, calculate the change in Dana’s profit if unit sales drop to 1,819 units. 4b. Prepare a new contribution margin income statement to verify change in dana's profit.
Your Corporation manufactures four products that use the same raw material and production machine. Your Company is experiencing a shortage of pounds of the raw material. Information related to the four products are shown below. Products A B C D Selling price $40 $32 $35 $65 Variable cots $34 $22 $27 50 Machine hours per unit 6 8 5 7 Pounds per unit 18 20 28 38 To maximize profit next month, in what order would it be best to schedule production (first to last)? a. A, B, C, D b. A, D, B, C c. B, D, A, C d. D, A, C, B
Demand for stereo headphones and music players for joggers has caused Nina Industries to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nina expects demand for headsets to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demand for the players for this year was as follows: MONTH DEMAND (UNITS) January 4,150 February 4,250 March 3,950 April 4,350 May 4,950 June 4,650 July 5,250 August 4,850 September 5,350 October 5,650 November 6,250 December 5,950 a. Using linear regression analysis, what would you estimate demand to be for each month next year? Using a spreadsheet, follow the general format in Exhibit 3.8. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. To be reasonably confident of meeting demand, Nina decides to use 3 standard errors of estimate for safety. How many additional units should be held to meet this…
A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.
A company with a capacity of 3,000 units a month has fixed costs of P1,500 a month and labor costs of P10 a unit. Material costs are P5 per unit. The company has been producing at 80 percent of capacity and selling its product for P20. 1What would its net income be at 100 percent at capacity 1.2What would its net income be at 120 percent of capacity if it is assumed that 20 percent more products could be produced on overtime at an extra P3 labor cost per unit for all production above 100 percent?
The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 36,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2,000 hours of manufacturing time and 1,700 hours of assembly time will be available next quarter. The profit contributions are $200…
2. Four products are processed sequentially on three machines in an aircraft maintenance workshop. The following Table 1 gives the operational data of the problem. Machine 1 2 3 Unit selling price ($) Table 1: Operational data for the problem Manufacturing time (hr) per unit Cost per hr Product Product Product Product $ 1 3 4 10 2 4 2 5 1 2 4 2 1 55 45 37 75 2323 70 Capacity (hr) 500 380 450 (a) Formulate the problem as a Linear Programming (LP) problem (b) Determine the optimal product-mix in the production schedule and the optimal profit
Cox Electric makes electronic components and has estimated the following for a new design of one of its products. Fixed cost = $23,750 Material cost per unit = $0.17 • Labor cost per unit = $0.12 • Revenue per unit = $0.67 Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue. Construct an appropriate spreadsheet model to find the profit based on a given production level and use the spreadsheet model to answer these questions. (a) Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = the total cost, yielding a profit of zero. Vary production volume from 0 to 100,000 in increments of 10,000.…
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Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 925 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table. Model Max Regular model Catcher's model s.t. cutting and sewing finishing packaging and shipping R, C20 Cutting and Sewing Finishing 1 ²3 Production Time (hours) 1 gloves gloves 1 Assuming that the company is interested in maximizing the total profit contribution, answer the following. (a) What is the linear programming model for this problem? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Packaging and Profit/Glove Shipping 1 $3 $5 (b) Find the optimal solution using the graphical solution…

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