Use the table below to answer the following question(s).In the spreadsheet below, there is data on the price, cost, demand, and quantity produced for an item.There are also different "what if" values that can help a manager to calculate costs and revenue withvariability in demand.Profit Model12What-If DemandValues3Data20,00040,000|55,00060,00065,0004Unit Price ($)Unit Cost ($)Fixed Cost ($)DemandQuantity Produced5025550,00060,000|55,000710Which of the following is the Excel formula to determine the number of units sold?=B8=MIN(0,B8,B9)=MAX(0,B8,B9)=MIN(B8,B9)

Number of unit sold will be the lowest value between Total Demand and total production quantity.…

Answered: Use the table below to answer the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...

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Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each month. The company has decided to use a six-month planning horizon. The forecasted monthly demands for the next six months are 10,000, 15,000, 30,000, 35,000, 25,000, and 10,000. Pigskin wants to meet these demands on time, knowing that it currently has 5000 footballs in inventory and that it can use a given months production to help meet the demand for that month. (For simplicity, we assume that production occurs during the month, and demand occurs at the end of the month.) During each month there is enough production capacity to produce up to 30,000 footballs, and there is enough storage capacity to store up to 10,000 footballs at the end of the month, after demand has occurred. The forecasted production costs per football for the next six months are 12.50, 12.55, 12.70, 12.80, 12.85, and 12.95, respectively. The holding cost incurred per football held in inventory at the end of any month is 5% of the production cost for that month. (This cost includes the cost of storage and also the cost of money tied up in inventory.) The selling price for footballs is not considered relevant to the production decision because Pigskin will satisfy all customer demand exactly when it occursat whatever the selling price is. Therefore. Pigskin wants to determine the production schedule that minimizes the total production and holding costs. Can you guess the results of a sensitivity analysis on the initial inventory in the Pigskin model? See if your guess is correct by using SolverTable and allowing the initial inventory to vary from 0 to 10,000 in increments of 1000. Keep track of the values in the decision variable cells and the objective cell.
The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each month. The company has decided to use a six-month planning horizon. The forecasted monthly demands for the next six months are 10,000, 15,000, 30,000, 35,000, 25,000, and 10,000. Pigskin wants to meet these demands on time, knowing that it currently has 5000 footballs in inventory and that it can use a given months production to help meet the demand for that month. (For simplicity, we assume that production occurs during the month, and demand occurs at the end of the month.) During each month there is enough production capacity to produce up to 30,000 footballs, and there is enough storage capacity to store up to 10,000 footballs at the end of the month, after demand has occurred. The forecasted production costs per football for the next six months are 12.50, 12.55, 12.70, 12.80, 12.85, and 12.95, respectively. The holding cost incurred per football held in inventory at the end of any month is 5% of the production cost for that month. (This cost includes the cost of storage and also the cost of money tied up in inventory.) The selling price for footballs is not considered relevant to the production decision because Pigskin will satisfy all customer demand exactly when it occursat whatever the selling price is. Therefore. Pigskin wants to determine the production schedule that minimizes the total production and holding costs. As indicated by the algebraic formulation of the Pigskin model, there is no real need to calculate inventory on hand after production and constrain it to be greater than or equal to demand. An alternative is to calculate ending inventory directly and constrain it to be nonnegative. Modify the current spreadsheet model to do this. (Delete rows 16 and 17, and calculate ending inventory appropriately. Then add an explicit non-negativity constraint on ending inventory.)
The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each month. The company has decided to use a six-month planning horizon. The forecasted monthly demands for the next six months are 10,000, 15,000, 30,000, 35,000, 25,000, and 10,000. Pigskin wants to meet these demands on time, knowing that it currently has 5000 footballs in inventory and that it can use a given months production to help meet the demand for that month. (For simplicity, we assume that production occurs during the month, and demand occurs at the end of the month.) During each month there is enough production capacity to produce up to 30,000 footballs, and there is enough storage capacity to store up to 10,000 footballs at the end of the month, after demand has occurred. The forecasted production costs per football for the next six months are 12.50, 12.55, 12.70, 12.80, 12.85, and 12.95, respectively. The holding cost incurred per football held in inventory at the end of any month is 5% of the production cost for that month. (This cost includes the cost of storage and also the cost of money tied up in inventory.) The selling price for footballs is not considered relevant to the production decision because Pigskin will satisfy all customer demand exactly when it occursat whatever the selling price is. Therefore. Pigskin wants to determine the production schedule that minimizes the total production and holding costs. Modify the Pigskin model so that there are eight months in the planning horizon. You can make up reasonable values for any extra required data. Dont forget to modify range names. Then modify the model again so that there are only four months in the planning horizon. Do either of these modifications change the optima] production quantity in month 1?
One of your staff members developed the following excel optimal production plan. You must now review this optimal plan and write a memo to the VP of Operations (Mr. Monroe) with recommendations as to how this optimal production plan can be improved to increase the Total Profit. What are three recommendations you have to the VP of operations based on the attached optimal production plan? These three options must be based only on information present in the excel production plan and components of LP modeling [decision variables, objective function (prices and variable cost), and resource constraints].
You have an idea for a new web service that offers customized workouts for subscribers. Build a spreadsheet to calculate 1) the number of new customers each month and 2) the total customer base (cumulative number of customers signed up) each month. Mimic what we did in the class to project the subscription volumes for 60 months under the following sets of assumptions. a)Total market potential is 1,000,000 customers. Each month, you sign up 2% of customers in the market that have not yet signed up. b)Total market potential is initially 1,000,000 customers, but grows at 1% per month. Each month, you sign up 2% of customers in the market that have not yet signed up. Use the graph wizard to make a graph comparing total customer base under each of the two scenarios. Which type of graph is appropriate?
The cost data for Evencoat Paint for the year 2019 is as follows: Month Gallons ofPaintProduced EquipmentMaintenanceExpenses January 110,000 $70,700 February 68,000 66,800 March 71,000 67,000 April 77,000 68,100 May 95,000 69,200 June 101,000 70,300 July 125,000 70,400 August 95,000 68,900 September 95,000 69,500 October 89,000 68,600 November 128,000 72,800 December 122,000 71,450 A. Using the high-low method, express the company’s maintenance costs as an equation where x represents the gallons of paint produced. Then estimate the fixed and variable costs. Fixed cost $ Variable cost $
One of your staff members developed the following excel optimal production plan. You must now review this optimal plan and write a memo to the VP of Operations (Mr. Monroe) with recommendations as to how this optimal production plan can be improved to increase the Total Profit. Your recommendation should identify and explain at least 3 options. These three options must be based only with information present in the excel production plan, sensitivity report and components of LP modeling [decision variables, objective function (prices and variable cost) and resource constraints] The business memo should be 1 to 2 pages. A professionally written proper style and grammar are worth 50% of the grade. Your recommendations on the three options are worth 50%.
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?
Assume the maximum demand for Super is 600,000 barrels. What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuel R2: # of barrels of ingredient 2 used in Regular fuel R3: # of barrels of ingredient 3 used in Regular fuel S1: # of barrels of ingredient 1 used in Super fuel S2: # of barrels of ingredient 2 used in Super fuel S3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints: The total # of barrels for Regular would be R1+R2+R3. The total # of barrels for Super would be S1+S2+S3. The total # of barrels of Ingredient 1 would be R1+S1. The total # of barrels of Ingredient 2 would be R2+S2. The total # of barrels of Ingredient 3 would be R3+S3.
A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
ssume the maximum demand for Super is 600,000 barrels. What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuel R2: # of barrels of ingredient 2 used in Regular fuel R3: # of barrels of ingredient 3 used in Regular fuel S1: # of barrels of ingredient 1 used in Super fuel S2: # of barrels of ingredient 2 used in Super fuel S3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints: The total # of barrels for Regular would be R1+R2+R3. The total # of barrels for Super would be S1+S2+S3. The total # of barrels of Ingredient 1 would be R1+S1. The total # of barrels of Ingredient 2 would be R2+S2. The total # of barrels of Ingredient 3 would be R3+S3.

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