Carrying cost per unit per month $2 Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ (entor your response as a whole number
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- If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.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?In Problem 12 of the previous section, suppose that the demand for cars is normally distributed with mean 100 and standard deviation 15. Use @RISK to determine the best order quantityin this case, the one with the largest mean profit. Using the statistics and/or graphs from @RISK, discuss whether this order quantity would be considered best by the car dealer. (The point is that a decision maker can use more than just mean profit in making a decision.)When you use a RISKSIMTABLE function for a decision variable, such as the order quantity in the Walton model, explain how this provides a fair comparison across the different values tested.
- Dogie Agency has three police dogs to be assigned to 3 different department stores. The cost of each dog on eachdepartment is given below Dogs SM Robinson CSI1 200 350 2702 300 250 1503 400 350 270 1. What quantitative technique can you utilize for this problem? Explain.2. Determine the minimum cost of each dog per department.Unilever Manufacturing operates year-round. The following data are pulled from thecompany’s most recent semi-annual report.Assets• Raw material inventory $120,000• Work-in-process inventory $50,000• Finished goods inventory $300,000• Property, plant, and equipment $500,000• Other assets $200,000• Total assets $1,150,000Condensed Income Statement• Revenue $2,000,000• Cost of goods sold $600,000• Other expenses $1,000,000• Net income $400,000Calculate the following based on a year duration:(a) Percentage invested in inventory (PIII);(b) Inventory turnover (TURNS); and(c) Weeks of supply (WOS)The following data pertain to Aurora Electronics for the month of February. Static Budget Actual Units Sold 10,000 9,000 Sales revenue $120,000 $103,500 Variable manufacturing cost $40,000 $36,000 Fixed manufacturing cost $20,000 $20,000 Variable Selling and administrative cost $10,000 $9,000 Fixed selling and administrative cost $10,000 $10,000 Compute the sales-price and sales-volume variances for February.
- The general manager of XXX Factoring is about to decide whether to enterinto the small and medium enterprise (SME) market. XX Company's customers so far have been mostly big-size companies. The decision to provide factoring to SMEs would mean entering into a new market. Turkey's economy increasingly rely on SMEs, and XX Company doesn't want to jeopardize Company’s position in the market. However, the company also wants to grow fast. Conduct an industry analysis using Porter’s 5 Forces.Becton Labs, Inc., produces various chemical compounds for industrial use. One compound, called Fludex, is prepared using an elaborate distilling process. The company has developed standard costs for one unit of Fludex, as follows: Standard Quantityor Hours Standard Priceor Rate Standard Cost Direct materials 2.30 ounces $ 26.00 per ounce $ 59.80 Direct labor 0.50 hours $ 14.00 per hour 7.00 Variable manufacturing overhead 0.50 hours $ 3.40 per hour 1.70 Total standard cost per unit $ 68.50 During November, the following activity was recorded related to the production of Fludex: Materials purchased, 12,500 ounces at a cost of $305,625. There was no beginning inventory of materials; however, at the end of the month, 2,800 ounces of material remained in ending inventory. The company employs 21 lab technicians to work on the production of Fludex. During November, they each worked an average of 150 hours at an average pay rate of $12.00 per hour.…The management accountant at Miller Merchandising & More, Odail Russell is in the process of preparing the cash budget for the business for the fourth quarter of 2021. It is customary for the business to borrow money during this quarter. Extracts from the sales and purchases budgets are as follows: Month Cash Sales Sales On Account Purchases August $85,000 $640,000 $420,000 September $70,000 $550,000 $550,000 October $88,550 $600,000 $500,000 November $77,160 $800,000 $600,000 December $174,870 $500,000 $450,000 An analysis of the records shows that trade receivables are settled according to the following credit pattern, in accordance with the credit terms 4/30, n90: 50% in the month of sale 30% in the first month following the sale 20% in the second month following the sale Expected purchases include monthly cash purchases of 5%. All other purchases are on account. Accounts payable are settled as follows, in…