PowerFull manufactures gel-cell batteries. These are rechargeable; made in various sizes and with various capacities. They are used in lighted signs (exit signs for example) to power them when utility power is out. They are also used to power emergency lighting and in computer power backup appliances. Consider their popular 12 volt, 8 amp hour battery that sells for $36 each. Production of this battery has the following fixed and variable costs: Fixed costs (per year) Variable Costs per battery Interest on Mortgage $25000 Plastic case $1.00 Utilities 18000 Plates (lead sulfide) 5.00 Salaries of a fixed type 50000 Mfg. labor 2.50 Hazmat License 6000 Electrolyte gel 3.00 Pollution permit 12000 Packaging .50 Other fixed expense 10000 Inert ingredients 1.50 Total fixed $121000 Testing/Certification 3.50 Promotion expense .50 Total $17.50 1. What is the annual breakeven production quantity (use above data, show work)? 2. If the quantity in #1 can be sold at $36 a battery, what revenue would be generated? 3. Management insists that $100000 more than fixed costs be earned (variable costs remain unchanged). How many batteries must be sold to achieve this goal (the selling price remains $36 each. Show your calculations)? 4. Keep the goal of $100000 above fixed costs. Total fixed costs remain at $121000. Price remains at $36. However, manufacturing labor cost is expected to increase from $2.50 to $3.50 per battery (due to a minimum wage increase). What will become the new breakeven quantity? 5. What is the Contribution Margin Ratio (CMR), considering the information in (4) above? 6. Go back to the original data (No manufacturing labor wage increase; No $100000 earnings goal). Assume only 7000 batteries are sold at a price of $36 each. What is the DOL (show your calculations)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2SE: What is a carrying capacity? What kind of model has a carrying capacity built into its formula? Why...
Question
PowerFull manufactures gel-cell batteries. These are rechargeable; made in various sizes and with various capacities. They are used in lighted signs (exit signs for example) to power them when utility power is out. They are also used to power emergency lighting and in computer power backup appliances. Consider their popular 12 volt, 8 amp hour battery that sells for $36 each. Production of this battery has the following fixed and variable costs: Fixed costs (per year) Variable Costs per battery Interest on Mortgage $25000 Plastic case $1.00 Utilities 18000 Plates (lead sulfide) 5.00 Salaries of a fixed type 50000 Mfg. labor 2.50 Hazmat License 6000 Electrolyte gel 3.00 Pollution permit 12000 Packaging .50 Other fixed expense 10000 Inert ingredients 1.50 Total fixed $121000 Testing/Certification 3.50 Promotion expense .50 Total $17.50 1. What is the annual breakeven production quantity (use above data, show work)? 2. If the quantity in #1 can be sold at $36 a battery, what revenue would be generated? 3. Management insists that $100000 more than fixed costs be earned (variable costs remain unchanged). How many batteries must be sold to achieve this goal (the selling price remains $36 each. Show your calculations)? 4. Keep the goal of $100000 above fixed costs. Total fixed costs remain at $121000. Price remains at $36. However, manufacturing labor cost is expected to increase from $2.50 to $3.50 per battery (due to a minimum wage increase). What will become the new breakeven quantity? 5. What is the Contribution Margin Ratio (CMR), considering the information in (4) above? 6. Go back to the original data (No manufacturing labor wage increase; No $100000 earnings goal). Assume only 7000 batteries are sold at a price of $36 each. What is the DOL (show your calculations)?
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