You have been selected to manage Product Line 20 and have available the following data sets...
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You have been selected to manage Product Line 20 and have available the following data sets from the past 7 production/sales periods: 1. Cost "C" and associated output "x". 2. Demand "x" and associated unit price "p". DATA C= f(x) Cost(20) 100 225000 200 300000 400 360000 600 540000 800 620000 1000 670000 1200 680000 Prod 20 Output [x] Prod 20 Demand [x] 100 200 p=f(x) Price [pl 1600 1400 400 1275 600 1250 800 1000 1200 1000 950 600 I Prod 20 Price [p] 1600 1400 1275 1250 1000 950 600 x= f(p) Demand [x] 100 200 400 600 800 1000 1200 You use this information to prepare for an upcoming planning session scheduled in seven days. To be fully prepared, you will need to be able to answer the questions that follow. 1. Calculate how many units "x" of the product must be produced and sold in order to generate a Profit of $0.00 (i.e. "break even"). 2. 14 Determine "C" and "R" at the quantity "x" where "P" - $0.00. 3. Find the number of product units "x" that should be sold per sales period in order to optimize this product's "R" and "P" and calculate "R" and "Pmax" at these "x" values. Assume market conditions suggest the maximum number of product units "x" that actually can be sold per sales period may not exceed... a. [12] ...825 (restricted domain: 0≤x≤ 825 units). b. 121...1,300 (restricted domain: 0 ≤x≤1,300 units). 4. In "Section A" above, the product line's given values of "x" and "C" were used to derive the "most appropriate" trend line equation C=f(x). a. 18/ Complete the data matrix shown below by determining the "R" and "P" values that would be associated with each give value of "x". Remember that R=(p)(x) and P = (R)-(C). Output x COM(20) Rev 20 Profit 20 100 225000 200 300000 400 360000 600 540000 800 620000 1000 670000 1200 680000 b. // Use the completed data matrix from "a" above to develop a linear C/R/P system chart that contains appropriate trend lines, trend line equations and "[(R¹)]" values. 5. Estimate the product's marginal Cost "mC", marginal Revenue "mR" and marginal Profit "mP" if initially, the number of units "x" produced (or, produced and sold) is... a. 161...450 units. b. (6)...1060 units. You have been selected to manage Product Line 20 and have available the following data sets from the past 7 production/sales periods: 1. Cost "C" and associated output "x". 2. Demand "x" and associated unit price "p". DATA C= f(x) Cost(20) 100 225000 200 300000 400 360000 600 540000 800 620000 1000 670000 1200 680000 Prod 20 Output [x] Prod 20 Demand [x] 100 200 p=f(x) Price [pl 1600 1400 400 1275 600 1250 800 1000 1200 1000 950 600 I Prod 20 Price [p] 1600 1400 1275 1250 1000 950 600 x= f(p) Demand [x] 100 200 400 600 800 1000 1200 You use this information to prepare for an upcoming planning session scheduled in seven days. To be fully prepared, you will need to be able to answer the questions that follow. 1. Calculate how many units "x" of the product must be produced and sold in order to generate a Profit of $0.00 (i.e. "break even"). 2. 14 Determine "C" and "R" at the quantity "x" where "P" - $0.00. 3. Find the number of product units "x" that should be sold per sales period in order to optimize this product's "R" and "P" and calculate "R" and "Pmax" at these "x" values. Assume market conditions suggest the maximum number of product units "x" that actually can be sold per sales period may not exceed... a. [12] ...825 (restricted domain: 0≤x≤ 825 units). b. 121...1,300 (restricted domain: 0 ≤x≤1,300 units). 4. In "Section A" above, the product line's given values of "x" and "C" were used to derive the "most appropriate" trend line equation C=f(x). a. 18/ Complete the data matrix shown below by determining the "R" and "P" values that would be associated with each give value of "x". Remember that R=(p)(x) and P = (R)-(C). Output x COM(20) Rev 20 Profit 20 100 225000 200 300000 400 360000 600 540000 800 620000 1000 670000 1200 680000 b. // Use the completed data matrix from "a" above to develop a linear C/R/P system chart that contains appropriate trend lines, trend line equations and "[(R¹)]" values. 5. Estimate the product's marginal Cost "mC", marginal Revenue "mR" and marginal Profit "mP" if initially, the number of units "x" produced (or, produced and sold) is... a. 161...450 units. b. (6)...1060 units.
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114 To calculate the breakeven point we need to equate the cost and revenue functions Given the information provided we can write the cost function as ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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