/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 27 The Home Style Eats has two rest... [FREE SOLUTION] | 91Ó°ÊÓ

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The Home Style Eats has two restaurants that are open 24 hours a day. Fixed costs for the two restaurants together total 430,500per year. Service varies from a cup of coffee to full meals. The average sales check per customer is 8.75 .The average cost of food and other variable costs for each customer is 3.50 . The income tax rate is 36 \% .Target net income is 117,600. 1. Compute the revenues needed to earn the target net income. 2\. How many customers are needed to break even? To earn net income of \(\$ 117,600 ?\) 3\. Compute net income if the number of customers is 170,000 .

Short Answer

Expert verified
The target revenue needed to achieve the target net income of 117,600 is \(345,216.67\). The break-even point is \(79,000\) customers, and the number of customers required to achieve the target net income is \(39,453.33\) customers. When there are 170,000 customers, the net income is \(134,959.67\).

Step by step solution

01

Calculate Revenue Needed for Target Net Income

We need to find the target revenue needed to achieve the target net income of 117,600, taking into account the 36% tax rate. We can use the formula: Target Revenue = (Target Net Income + Fixed Costs) / (1 - Tax Rate - Variable Costs/Customer Revenues) Plugging in the values, we get: Target Revenue = (117,600 + 430,500) / (1 - 0.36 - 3.50/8.75)
02

Calculate the Break-Even Point and Number of Customers Required to Achieve Target Net Income

To find the break-even point, we must calculate the number of customers needed to cover the fixed costs with zero net income. We can use the formula: Break-Even Customers = Fixed Costs / (Revenue per Customer - Variable Costs per Customer) For the break-even point, Break-Even Customers = 430,500 / (8.75 - 3.50) Next, we need to calculate the number of customers required to achieve the target net income. For this, we use the formula: Customers for Target Net Income = Target Revenue / Revenue per Customer Substituting the values, we get: Customers for Target Net Income = Target Revenue / 8.75
03

Compute Net Income for 170,000 Customers

We are given a scenario where the number of customers is 170,000. We need to compute the net income for this situation. We can use the following formulas: Total Revenue = Number of Customers × Revenue per Customer = 170,000 × 8.75 Total Variable Costs = Number of Customers × Variable Costs per Customer = 170,000 × 3.50 Total Costs = Fixed Costs + Total Variable Costs Net Income before Tax = Total Revenue - Total Costs Tax Amount = Net Income before Tax × Tax Rate Net Income = Net Income before Tax - Tax Amount We now calculate the net income with the formulas given.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Target Net Income Calculation
Understanding how to calculate target net income is crucial for any business that is setting financial goals. We start by defining target net income as the amount of profit a company aims to make after accounting for all costs and taxes. To calculate the revenue needed to meet this goal, one must consider not only the net income but also the fixed costs and the effect of taxes on profits.

Using the formula from the exercise, the target revenue calculation factors in the business's fixed costs and income tax rate to determine how much revenue is required to achieve the desired net profit. For Home Style Eats, with a fixed cost of \(430,500, a target net income of \)117,600, and a tax rate of 36%, we plug the values into the formula and delineate the path needed to reach the financial target. This clear-cut formula tells the business exactly how much revenue they must bring in to meet their net income goals with their given costs and tax obligations.
Break-Even Analysis
Break-even analysis is a fundamental aspect of cost accounting. It's the process of determining when a business will be able to cover all its expenses without making a loss but also without making a profit. The break-even point is pivotal for any business, as it is the minimum threshold they must cross to start generating profit.

In Home Style Eats's case, the break-even point is computed by finding the number of customers needed to cover fixed costs when the net income is zero. By using the formula provided, we can discern how many customers equate to neither a gain nor a loss. This analysis is not only theoretical but can inform practical business decisions such as setting sales targets, pricing strategies, and understanding the impact of cost changes.
Revenue per Customer
Revenue per customer is a measure of the average amount of money a business brings in from each customer. This key performance indicator is vital for assessing how much income an individual customer generates and helps in strategizing on pricing and sales. In our exercise, the average sales check per customer is known, which serves as our revenue per customer figure. Knowing this value allows us to calculate both the break-even number of customers as well as how many are needed to reach the target net income.

Additionally, the revenue per customer serves as a baseline for making enhancements within the business. For instance, increasing the average sales check could lower the number of customers needed to hit financial targets, leading to more efficient operations.
Fixed and Variable Costs
A firm grasp on fixed and variable costs is essential in cost accounting. Fixed costs, like the yearly expense of \(430,500 for Home Style Eats's two restaurants, are costs that do not change with the number of goods produced or the level of sales. Conversely, variable costs are expenses that vary with production output or sales volume. In the case study, the variable costs are tied to each customer served, amounting to \)3.50 per customer.

Understanding how these two types of costs interact is critical for budget planning and financial analysis. Keeping tabs on the variable costs per customer can lead to insights on cost-saving measures. Moreover, being aware of these costs affects pricing strategies, as it informs the business on the minimum sales needed to surpass both fixed and variable expenditures.

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Most popular questions from this chapter

Marketing Docs prepares marketing plans for growing businesses. For 2017, budgeted revenues are \ 1,500,000$ based on 500 marketing plans at an average rate per plan of 3,000 . The company would like to achieve a margin of safety percentage of at least 45 \% The company's current fixed costs are 400,000 and variable costs average 2,000 per marketing plan. (Consider each of the following separately. 1\. Calculate Marketing Docs' breakeven point and margin of safety in units. 2\. Which of the following changes would help Marketing Docs achieve its desired margin of safety? a. The average revenue per customer increases to 4,000 b. The planned number of marketing plans prepared increases by 5 \% c. Marketing Docs purchases new software that results in a 5 \% increase to fixed costs but reduces variable costs by 10 \% per marketing plan.

Describe sensitivity analysis. How has the advent of the electronic spreadsheet affected the use of sensitivity analysis?

Distinguish between operating income and net income.

Megaphone Corporation produces a molded plastic casing, M\&M101, for many cell phones currently on the market. Summary data from its 2017 income statement are as follows: Joshua Kirby, Megaphone's president, is very concerned about Megaphone Corporation's poor profitabil ity. He asks Leroy Gibbs, production manager, and Tony DiNunzo, controller, to see i i there are ways to reduce costs After 2 weeks, Leroy returns with a proposal to reduce variable costs to 55\% of revenues by reducing the costs Megaphone currently incurs for safe disposal of wasted plastic. Tony is concerned that this would expose the company to potential environmental liabilitities. He tells Leroy, "We would need to estimate some of these potential environmental costs and include them in our analysis." "You can't do that," Leroy replies. "We are not violating any laws. There is some possibility that we may have to incur environmental costs in the future, but if we bring it up now, this proposal will not go through because our senior managementt danger of shutting down the company and costing all of us our jobs. The only reason our competitors are making money is because they are doing exactly what lam proposing. 1\. Calculate Megaphone Corporation's breakeven revenues for 2017 2\. Calculate Megaphone Corporation's breakeven revenues if variable costs are 55\% of revenues. 3\. Calculate Megaphone Corporation's operating income for 20171 it variable costs had been 55\% of revenues. 4\. Given Leroy Gibbs's comments, what should Tony DiNunzo do?

The Kenosha Company has three product lines of beer mugs \(-A, B,\) and \(\mathrm{C}-\) with contribution margins of \(\$ 5, \$ 4,\) and \(\$ 3,\) respectively. The president foresees sales of 175,000 units in the coming period, consisting of 25,000 units of \(A, 100,000\) units of \(B,\) and 50,000 units of \(C .\) The company's fixed costs for the period are \(\$ 351,000\) 1\. What is the company's breakeven point in units, assuming that the given sales mix is maintained? 2\. If the sales mix is maintained, what is the total contribution margin when 175,000 units are sold? What is the operating income? 3\. What would operating income be if the company sold 25,000 units of \(A, 75,000\) units of \(B,\) and 75,000 units of \(C ?\) What is the new breakeven point in units if these relationships persist in the next period? 4\. Comparing the breakeven points in requirements 1 and 3 , is it always better for a company to choose the sales mix that yields the lower breakeven point? Explain.

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