Operations Management Dr. Ron Lembke BREAK-EVEN ANALYSIS BREAK-EVEN ANALYSIS Given a fixed cost, how many do we have to make to break even? A: buy units @ $200 B: Make on lathe: $80,000 + $75 each C: CNC Machining Center: $200,000 + $15 each Which is the cheapest way? BREAK-EVEN ANALYSIS If we only sell 1, which is cheapest? If we sell a gazillion, which is cheapest? Total Costs BREAK-EVEN Outsource Draw Lowest Fixed Cost Line Volume Total Costs BREAK-EVEN Outsource Machining Center Volume Total Costs BREAK-EVEN Outsource Lathe Machining Center Volume Total Costs BREAK-EVEN Outsource Lathe Machining Center Volume BREAK-EVEN ANALYSIS Total Costs Cost of 1,000 units A: 200 * 1,000 = 200,000 B: 80,000 + 75*1,000 = 155,000 C: 200,000 + 15*1,000 = 215,000 300k C A 200k B 100k Volume 0 1,000 BREAK-EVEN ANALYSIS Cost of 2,000 units A: 200 * 2,000 = 400,000 B: 80,000 + 75*2,000 = 230,000 C: 200,000 + 15*2,000 = 230,000 A Total Costs 400k 300k B C 200k 100k 0 2,000 Volume BREAK-EVEN ANALYSIS Cost of 3,000 units A: 200 * 3,000 = 600,000 B: 80,000 + 75*3,000 = 305,000 C: 200,000 + 15*3,000 = 245,000 A Total Costs 600k 500k 400k B C 300k 200k 100k 0 3,000 Volume BREAK-EVEN ANALYSIS When does Lathe become cheaper than Outsourcing? 80,000 + 75*x = 200*x 80,000 = 125*x x = 640 BREAK-EVEN ANALYSIS A 600k Total Costs 500k Outsource 400k Lathe Machining Center B C 300k 200k 100k 0 640 3,000 Volume BREAK-EVEN ANALYSIS When does Machining Center become cheaper than Lathe? 80,000 + 75*x = 200,000 + 15*x 60*x = 120,000 x = 2,000 BREAK-EVEN ANALYSIS A 600k Total Costs 500k Outsource Lathe Machining Center 400k B 300k C 200k <= 640 Outsource 640-2000 Lathe >= 2000 Mach Ctr 100k 0 640 2,000 3,000 Volume BREAK-EVEN PROFIT QUANTITY How much do sales have to grow to make an investment pay off? Fixed costs = $10,000 Direct labor = $1.50 / unit Material = $0.75 / unit Sales price = $4.00 How many units must sell to break even? BREAK-EVEN PROFIT QUANTITY Gross Profit per unit = $4 – ($1.5 + $0.75) = $1.75 How many units to sell to offset Fixed cost? $10,000 = $1.75 * x X = 10,000/1.75 = 5,714.3 = 5,715 units SUMMARY Break-even quantity calculations Cheapest for one unit, and a gazillion Accurate drawing Find break-points algebraically Break-even profit quantity fixed cost to develop a product, how many must sell to be profitable?