Nofly corporation sells three different models of a mosquito "zapper." model a12 sells for $50 and has variable costs of $35. model b22 sells for $100 and has variable costs of $70. model c124 sells for $400 and has variable costs of $300. the sales mix of the three models is a12, 60%; b22, 15%; and c124, 25%. if the company has fixed costs of $269,500, how many units of each model must the company sell in order to break even?
The first step you need to do to solve this problem is to calculate the contribution margin per unit for each model:
Model a12 b22 c124
Sales Price per unit 50 100 400
Less: Variable Cost per unit 35 70 300
Contribution Margin per unit 15 30 100
The next step is to calculate the weighted-average contribution margin per unit for the sales mix using the following formula:
Model a12 CM per Unit ×
Model a12 Sales Mix Percentage
+ Model b22 CM per Unit × Model b22 Sales Mix Percentage
+ Model c124 CM per Unit × Model c124 Sales Mix Percentage
= Weighted Average Unit Contribution Margin (WACM)
Contribution Margin per unit 15 30 100
X Sales Mix Percentage 60% 15% 25%
WACM 9 4.5 25
Weighted Average Unit Contribution Margin (sum) 38.5
The next step is to find the break-even point using the WACM.
Total Fixed Cost $269,500 ÷ Weighted Average CM per Unit $38.50 Break-even Point in Units of Sales Mix 7,000
The next step is to calculate the number of units of each model at break-even point
Model a12 b22 c124 Sales Mix Ratio 60% 15% 25% × Total Break-even Units 7,000 7,000 7,000 Product Units at Break-even Point 4,200 1,050 1,750
To break even, Nofly corporation needs to sell a certain number of each model of mosquito zapper. We can determine the number of units needed by calculating the contribution margin per unit for each model, multiplying it by the sales mix percentage, and setting it equal to the fixed costs. By solving this equation along with the equation for the sales mix percentages, we can find the number of units needed for each model.
Explanation:To calculate the number of units of each model that the company must sell in order to break even, we need to determine the contribution margin per unit for each model. The contribution margin is the selling price minus the variable cost per unit. For model A12, the contribution margin is $50 - $35 = $15. For model B22, the contribution margin is $100 - $70 = $30. And for model C124, the contribution margin is $400 - $300 = $100.
Next, we need to determine the total contribution margin for each model by multiplying the contribution margin per unit by the sales mix percentage. For model A12, the total contribution margin is $15 * 60% = $9. For model B22, the total contribution margin is $30 * 15% = $4.50. And for model C124, the total contribution margin is $100 * 25% = $25.
Finally, we can use the formula: Fixed Costs = Total Contribution Margin to solve for the number of units of each model that need to be sold in order to break even. Let's assume the number of units of model A12, B22, and C124 sold is X, Y, and Z respectively. The equation becomes: $269,500 = $9X + $4.50Y + $25Z. From the sales mix percentages, we know that X + Y + Z = 100. Solving these two equations, we can determine the values of X, Y, and Z.
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True or false? in regard to accounts receivable management, the older the account or the longer the account remains unpaid, the less of a change that the facility will receive reimbursement for the encounter.
When the average unit cost of a good or service decreases as the capacity and/or volume of throughput increases, it is known as _____.
a. diseconomies of scale
b. capacity cushion
c. cost cushioning
d. economies of scale?
An automobile company assembles cars in a plant and purchases batteries from a vendor in china. the average cost of each battery is $45. the automobile company takes ownership of the batteries when they arrive at the plant. it takes exactly 12 hours to make a car in the plant and the plant assembles 200 cars per 8-hour shift (currently the plant operates one shift per day). each car uses one battery. the company holds on average 8,000 batteries in raw material inventory at the plant as a buffer.
This carmaker holds 8,100 batteries, a $364,500 stockpile. Their raw material buffer boasts a 40-day supply, keeping production humming! They make the most of those $45 batteries, powering 200 cars every shift.
1. Total number of batteries in the plant:
Daily production: 200 cars/shift * 1 shift/day = 200 cars/dayBatteries per day: 200 cars/day * 1 battery/car = 200 batteries/dayWork-in-process batteries (assuming half of a day's production are in work-in-process on average): 200 batteries/day * 12 hours/car / (24 hours/day) = 100 batteriesTotal batteries: 100 batteries (work-in-process) + 8,000 batteries (raw materials) = 8,100 batteries2. Total value of batteries:
Total batteries: 8,100 batteriesCost per battery: $45Total battery value: 8,100 batteries * $45/battery = $364,5003. Days of supply in raw material inventory:
Raw material inventory: 8,000 batteriesDaily battery usage: 200 batteries/dayDays of supply: 8,000 batteries / 200 batteries/day = 40 daysTherefore, the automobile company has 8,100 batteries in the plant on average, their batteries are worth $364,500, and they hold 40 days of supply in raw material inventory.
Q- An automobile company assembles cars in a plant and purchases batteries from a vendor in China. The average cost of each battery is $45. The automobile company takes ownership of the batteries when they arrive at the plant. It takes exactly 12 hours to make a car in the plant and the plant assembles 200 cars per 8-hour shift (currently the plant operates one shift per day). Each car uses one battery. The company holds on average 8,000 batteries in raw material inventory at the plant as a buffer.
1. Find the total number of batteries in the plant on average (in work-in-process in the plant and in raw material inventory).
2. How much are the batteries worth?
3. How many days of supply are held in raw material inventory on average?
The automobile company assembles 200 cars per 8-hour shift, using 200 batteries daily. With an inventory of 8,000 batteries, they maintain a 40-day supply to buffer against supply chain disruptions. Effective inventory management strategies are essential to ensure smooth production operations.
Battery Inventory and Production Capacity:
Let's break down the details provided to analyze the automobile company's processes:
The plant assembles 200 cars per 8-hour shift, or 25 cars per hour.Each car requires one battery, so the plant uses 25 batteries per hour.The company holds an average of 8,000 batteries in inventory as a buffer.The cost of each battery is $45.Given that the plant operates one shift per day, it uses 200 batteries per day. Therefore, the inventory of 8,000 batteries would last 40 days under current production rates. This buffer inventory helps ensure continuous production and accounts for any supply chain disruptions.
To maintain a steady flow of production, it's crucial to manage inventory efficiently and ensure timely deliveries from the vendor in China. Utilizing strategies such as Just-In-Time (JIT) inventory can help minimize holding costs and increase operational efficiency.
Economies of scale also play a role here, as larger inventory levels can result in lower average costs per unit due to bulk purchasing and reduced shipment frequency.
Which of the following is not a factor affecting population.
a. fertility
c. population pyramid
b. life expectancy
d. net immigration
Corporate finance mark weinstein has been working on an advanced technology in laser eye surgery. his technology will be available in the near term. he anticipates his first annual cash flow from the technology to be $180,000 received two years from today. subsequent annual cash flows will grow at 4 percent in perpetuity. what is the present value of the technology if the discount rate is 11 percent?
kathleen worked for 4 hours and 45 minutes. how should she write that on her time card?
A. 4.5
B. 4.45
C. 4.25
D. 4.75
When marketing in the service industry, "facilitating promises" equates to:?
If national pride in the local capability to make a complex product is the objective of government policy, the best policy strategy is to:
Having fewer customers in business markets in comparison with consumer markets:
Diagnostic supplies has expected sales of 84,100 units per year, carrying costs of $5 per unit, and an ordering cost of $10 per order.
a. what is the economic ordering quantity?
The economic order quantity (EOQ) for Diagnostic supplies is calculated using the formula √((2DS)/H) with annual sales as demand (D), ordering cost (S), and carrying cost per unit (H). By plugging in the values given, the EOQ is found to be approximately 580 units.
Explanation:To calculate the economic order quantity (EOQ) for Diagnostic supplies, we utilize the EOQ formula:
EOQ = √((2DS)/H)
Where:
D = Demand in units (annual sales)Plugging in the values provided:
D = 84,100 unitsEOQ = √((2 * 84,100 * 10) / 5)
EOQ = √((1,682,000) / 5)
EOQ = √(336,400)
EOQ = √(1.67 * 10^5)
EOQ = 580 units (approximately)
Therefore, the economic ordering quantity for Diagnostic supplies is about 580 units per order to minimize the total inventory costs.
_____ means that managers are honest and trustworthy, fair in their dealings with employees and customers, and behave ethically in both their personal and professional lives.
a. ethical leadership
b. followership
c. corporate espionage
d. command-and-control approach
e. concern for production leadership
The correct answer is A. Ethical leadership
Explanation:
In business, one of the most important qualities in managers is leadership this involves managers being able to lead appropriately employees, customers and everyone involved in a business to achieve the goals in it. Additionally, leadership is classified as ethical when the manager acts appropriately in terms of norms and moral. This involves being honest, fair, and act properly with all the people and during the tasks of leading. According to this, it is ethical leadership the term and quality which means managers are honest, trustworthy, and fair in their dealings with employees and customers.
Last year mike bought 100 shares of dallas corporation common stock for $53 per share. during the year he received dividends of $1.45 per share. the stock is currently selling for $60 per share. what rate of return did mike earn over the year?
a.11.7 percent
b.13.2 percent
c.14.1 percent
d.15.9 percent
Mike's rate of return on his investment in Dallas Corporation common stock is calculated by taking the total return per share, which includes both capital gains and dividends, and dividing it by the initial purchase price. His return is approximately 15.9 percent.
Explanation:The question involves calculating the rate of return that Mike earned on his investment in Dallas Corporation common stock over a year. To calculate the rate of return, we need to consider both the dividends received and the capital gains from the increase in stock value. Mike bought the stock at $53 per share and it is currently selling for $60 per share, giving him a capital gain of $7 per share. He also received dividends of $1.45 per share. The total return per share is the sum of the capital gain and the dividends, which is $7 + $1.45 = $8.45 per share. To find the rate of return, we divide the total return per share by the initial purchase price and then multiply by 100 to express it as a percentage.
Calculation: ($8.45 / $53) × 100 = 15.94%
The closest answer to Mike's rate of return is 15.9 percent (choice d).
Jack and jo, residents of colorado, were hiking in nevada when a dog being walked by its owner, will, bit jo causing injury. jack wants jo to sue will, a resident of montana, but jo does not want to incur the cost of a lawsuit.
A mechanism of control utilized in organizational culture is __________
Which entities constitute the primary and secondary stakeholders of a business, respectively?
Final answer:
Primary stakeholders of a business directly influence or are influenced by the business, such as owners, investors, and employees. Secondary stakeholders are indirectly affected, like community groups and government agencies. The stakeholder theory emphasizes ethical management by balancing the interests of all stakeholders.
Explanation:
Within a business, primary stakeholders are entities that directly influence or are directly influenced by the company's operations and outcomes. Examples of primary stakeholders include owners, investors, employees, customers, and suppliers. They have a direct economic or functional relationship with the company. On the other hand, secondary stakeholders are those entities that indirectly affect or are affected by the business's activities. These stakeholders, such as community groups, media, government agencies, and special interest groups, while they don't engage in direct economic transactions with the company, can influence or be influenced by its actions in the broader social, environmental, or political landscape.
Other important categories of stakeholders are opposition stakeholders, who may oppose the company's operations or policies, and marginalized stakeholders, who may not have a strong voice or influence but are nonetheless impacted by the company, like future generations in the context of environmental sustainability.
Describe the effects of globalization on air pollution in China’s largest cities. In an informative essay, use outside research to gather anecdotes and data to help you demonstrate your findings.
Globalization has led to increased air pollution in China's largest cities. Industrial pollution and the outsourcing of manufacturing contribute to higher levels of pollution. The phenomenon of smog is a clear example of the impact of globalization on air pollution in major Chinese cities.
Explanation:Globalization has had significant effects on air pollution in China's largest cities. As China's economy and industry have grown, so has air pollution. The increased production and consumption of goods has led to higher levels of emissions and pollution, particularly in urban areas. Additionally, the globalization of industries has allowed for the outsourcing of manufacturing to countries with looser environmental regulations, which contributes to pollution.
One clear effect of globalization on air pollution in China's largest cities is the increase in industrial pollution. Globalized industries take advantage of looser regulations in developing countries, leading to higher levels of pollution. The dumping of hazardous waste by global corporations is also a serious threat to the environment and the health of local communities.
An example of the impact of globalization on air pollution in China is the phenomenon of smog in major cities like Beijing. Smog, a form of air pollution, is caused by the combination of vehicle emissions, industrial pollution, and other pollutants. Cities with high levels of globalization and industrialization tend to have worse air quality due to these factors.
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During the past 5 years, harvey has held several jobs, and each has provided him with a wealth of experience as a residential electrician. he now wants a stable job doing electrical work for a large organization. which type of résumé format would be best for harvey?
National sales meetings, training meetings, product introductions, and dealer/customer meetings are all examples of what type of meeting
What are the potential advantages when an organization can ask a meeting professional to serve as project manager?
Where would you locate your network main distribution facility, while keeping security in mind?
In locating your network main distribution facility is the room that is the smallest, the place should be away from from copper such as plumbing and to have security in mind, it should be placed and made away from the other rooms.
Answer:
Correct answer:
In locating your network main distribution facility is the room that is the smallest,
the place should be away from from copper such as plumbing and to have security in mind, it should be placed and made away from the other rooms.
__________________________________________________________
Hope I helped you out :)
The indentures for publicly traded bonds are approved by:
How do we track stock market performance?
We can track stock market performance by looking at three major indexes. The dow jones industrial average, the standard & poors 500, and the NASDAQ. All of the indexes track different parts of the economy.
A person who signs a check and leaves the dollar amount for someone else to fill in can recover from the bank whatever amount exceeds the amount that the person intended the check to cover
which is not one of the presidents duties.
A.Appointing ambassadors
B.signing bill into law
C.appointing Supreme Court Judges
D.interpreting laws
Your father loans you $12,000 to make it through your senior year. his repayment schedule requires payments of $1,401.95 at the end of year for the next 15 years. what interest rate is he charging you?
Congress established the ________ to investigate "the organization, business conduct, practices, and management" of companies that engage in interstate commerce.
The answer is Federal Trade Commission. The FTC is responsible of having to have a greater authority in regards with anticompetitive practices and the means to prevent certain things to happen such as methods that are poorly done or unfair. In which they investigate certain things to engage in interstate commerce.
Congress established the Federal Trade Commission to investigate "the organization, business conduct, practices, and management" of companies that engage in interstate commerce.
What is interstate commerce?Interstate commerce involves business relationships, transactions, or transportation of products, services, or money across the borders within the United States.
According to the Article I section 8 of the U.S. Constitution, known as the Commerce Clause, the Federal Trade Commission (FTC) monitors unlawful and unfair commercial behaviors with a view of issuing "cease-and-desist orders" to the violators of antitrust law.
Thus, Congress established the Federal Trade Commission to investigate "the organization, business conduct, practices, and management" of companies that engage in interstate commerce.
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What is the outcome when employees have positive attitudes towards their jobs?
Answer:
The outcome when employees have positive attitudes towards their jobs are discussed below.
Explanation:
A positive work attitude is an attitude about working. It is often referred to as someone who has a positive outlook and behavior towards work.
The Benefits of the Positive attitude
It encourages your ability to work with diverse people.It encourages higher self-esteem and confidence.It increases the ability to challenge stress and increase positive energy.It increases the higher productivity of an Individual.
Bob is a manager at a local toyota dealership who has lost five of his employees during the last year. now he has to make a decision about how to retain the employees on his team. having recently taken a class on decision making, bob decides to follow the six-step process for deciding what to do. what problem is bob most likely to face during the evaluation and feedback step in the decision-making process?
Final answer:
Bob is likely to face challenges in obtaining honest and constructive feedback from employees in the evaluation and feedback step of the decision-making process. A cost/benefit analysis could help Bob weigh the costs against the benefits of potential retention strategies. Building trust and taking action based on feedback are crucial for continuous improvement and employee retention.
Explanation:
Bob, the manager at a local Toyota dealership, is facing challenges in the evaluation and feedback step of the decision-making process. The problem he is most likely to encounter is obtaining honest and constructive feedback from his current team. In the scenario presented in the second paragraph, a similar management situation shows a reluctance to genuinely engage with feedback, leading to difficulties in accessing true employee perceptions. Gathering insightful feedback is essential for Bob to make informed decisions about how to improve employee retention.
To address this, Bob could undertake a cost/benefit analysis to determine the value of various retention strategies by assessing their costs against the anticipated benefits. Furthermore, Bob might also need to confront issues such as imperfect information, similar to Greta's job application situation, where assessing employee satisfaction and potential loyalty can be challenging without directly experiencing the impacts of the changes he implements.
In conclusion, the lessons learned from the case studies reinforce the importance of an effective evaluation process, where managers like Bob must focus on fostering an environment where employees feel safe and valued when providing feedback, and where action is taken on that feedback to ensure continuous improvement and higher employee satisfaction.
Why do bank panics worsen asymmetric information problems in credit markets?